## Vespri, Vincenzo Riccardo

Compute Distance To:
 Author ID: vespri.vincenzo Published as: Vespri, Vincenzo; Vespri, V. Homepage: http://web.math.unifi.it/users/vespri/pubblicazioni.html External Links: MGP · GND
 Documents Indexed: 115 Publications since 1985, including 1 Book 2 Contributions as Editor Reviewing Activity: 486 Reviews Co-Authors: 62 Co-Authors with 99 Joint Publications 1,146 Co-Co-Authors
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### Co-Authors

 17 single-authored 25 Gianazza, Ugo Pietro 19 DiBenedetto, Emmanuele 8 Colombo, Fabrizio 8 Fornaro, Simona 7 Cannarsa, Piermarco 7 Düzgün, Fatma Gamze 6 Ragnedda, Francesco 5 Vernier-Piro, Stella 4 Henriques, Eurica 3 Bianchi, Cesidio 3 Buonomo, Bruno 3 Chiappini, Massimo 3 Ciani, Simone 3 Giuli, Massimiliano 3 Gozzi, Fausto 3 Guidetti, Davide 3 Lunardi, Alessandra 3 Manfredi, Juan J. 3 Martalò, Giorgio 3 Monte, Roberto 3 Sosio, Maria 2 Barucci, Emilio 2 Calahorrano Recalde, Marco Vinicio 2 Marcellini, Paolo 2 Mosconi, Sunra J. N. 2 Tedeev, Anatoliĭ Fedorovich 2 Telcs, András 2 Urbano, José Miguel 1 Andreucci, Daniele 1 Baffoni, Fabrizio 1 Bisconti, Luca 1 Bögelein, Verena 1 Chiti, Francesco 1 Ciraolo, Giulio 1 Coulhon, Thierry 1 Da Prato, Giuseppe 1 Dipierro, Serena 1 Fantacci, Romano 1 Fino, Ahmad Z. 1 Giannazza, Ugo 1 Gianni, Roberto 1 Kwong, Ying-Chuen 1 Lamberti, Pier Domenico 1 Liao, Naian 1 Magnanini, Rolando 1 Mariano, Paolo Maria 1 Metafune, Giorgio 1 Monticelli, Dario Daniele 1 Pallara, Diego 1 Piro-Vernier, Stella 1 Polidoro, Sergio 1 Punzo, Fabio 1 Safonov, Mikhail V. 1 Santambrogio, Filippo 1 Sargenti, Giulia 1 Savaré, Giuseppe 1 Skrypnik, Igor Igorievich 1 Stroffolini, Bianca 1 Surnachëv, Mikhaĭl Dmitrievich 1 Terreni, Brunello 1 Trudinger, Neil Sidney 1 Valdinoci, Enrico
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### Serials

 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Manuscripta Mathematica 4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 4 Differential and Integral Equations 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Journal of Evolution Equations 2 Journal of Mathematical Analysis and Applications 2 Indiana University Mathematics Journal 2 Journal of Differential Equations 2 Le Matematiche 2 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 2 Rendiconti del Seminario Matematico della Università di Padova 2 Calculus of Variations and Partial Differential Equations 2 Discrete and Continuous Dynamical Systems. Series S 2 Nonlinear Analysis. Theory, Methods & Applications 1 Archive for Rational Mechanics and Analysis 1 Houston Journal of Mathematics 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Mathematical Methods in the Applied Sciences 1 Acta Mathematica 1 Duke Mathematical Journal 1 Journal of Functional Analysis 1 Kodai Mathematical Journal 1 Mathematische Annalen 1 Mathematics and Computers in Simulation 1 Michigan Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Optimal Control Applications & Methods 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Stochastic Analysis and Applications 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Stochastic Processes and their Applications 1 Bollettino della Unione Matemàtica Italiana. Serie VI. B 1 Electronic Journal of Differential Equations (EJDE) 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Differential Equations 1 Electronic Research Announcements of the American Mathematical Society 1 Discrete and Continuous Dynamical Systems 1 European Mathematical Society Newsletter 1 Communications in Applied Analysis 1 Journal of Mathematical Fluid Mechanics 1 Interfaces and Free Boundaries 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Milan Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Boundary Value Problems 1 Journal of Applied Functional Analysis 1 Advances in Calculus of Variations 1 Eurasian Mathematical Journal 1 Rivista di Matematica della Università di Parma. New Series 1 Springer INdAM Series 1 Journal of Elliptic and Parabolic Equations 1 Springer Monographs in Mathematics 1 Constructive Mathematical Analysis
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### Fields

 98 Partial differential equations (35-XX) 25 Operator theory (47-XX) 11 Functional analysis (46-XX) 7 Probability theory and stochastic processes (60-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Biology and other natural sciences (92-XX) 4 Integral equations (45-XX) 3 General and overarching topics; collections (00-XX) 3 Real functions (26-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Fluid mechanics (76-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX)

### Citations contained in zbMATH Open

93 Publications have been cited 1,153 times in 717 Documents Cited by Year
Hölder estimates for local solutions of some doubly nonlinear degenerate parabolic equations. Zbl 0796.35089
Porzio, M. M.; Vespri, V.
1993
Harnack’s inequality for degenerate and singular parabolic equations. Zbl 1237.35004
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
2011
Harnack estimates for quasi-linear degenerate parabolic differential equations. Zbl 1221.35213
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
2008
Some results on partial differential equations and Asian options. Zbl 1034.35166
Barucci, E.; Polidoro, S.; Vespri, V.
2001
On the local behaviour of solutions of a certain class of doubly nonlinear parabolic equations. Zbl 0755.35053
Vespri, Vincenzo
1992
Current issues on singular and degenerate evolution equations. Zbl 1082.35002
DiBenedetto, Emmanuele; Urbano, José Miguel; Vespri, Vincenzo
2004
Forward, backward and elliptic Harnack inequalities for non-negative solutions to certain singular parabolic partial differential equations. Zbl 1206.35053
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
2010
On maximal $$L^ p$$ regularity for the abstract Cauchy problem. Zbl 0608.35027
Cannarsa, Piermarco; Vespri, Vincenzo
1986
Local space-analyticity of solutions of certain singular parabolic equations. Zbl 0784.35055
DiBenedetto, Emmanuele; Kwong, Y.; Vespri, V.
1991
On the singular equation $$\beta (u)_ t=\Delta u$$. Zbl 0849.35060
DiBenedetto, E.; Vespri, V.
1995
Large time behavior of solutions to a class of doubly nonlinear parabolic equations. Zbl 0787.35047
Manfredi, Juan J.; Vespri, Vincenzo
1994
Generation of analytic semigroups by elliptic operators with unbounded coefficients. Zbl 0623.47039
Cannarsa, Piermarco; Vespri, Vincenzo
1987
Harnack type inequalities for solutions of certain doubly nonlinear parabolic equations. Zbl 0798.35073
Vespri, Vincenzo
1994
Local clustering of the non-zero set of functions in $$W^{1,1} (E)$$. Zbl 1223.46034
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
2006
Parabolic De Giorgi classes of order $$p$$ and the Harnack inequality. Zbl 1098.35077
Gianazza, Ugo; Vespri, Vincenzo
2006
Generation of analytic semigroups in the $$L^ p$$ topology by elliptic operators in $${\mathbb{R}}^ n$$. Zbl 0669.35026
Cannarsa, Piermarco; Vespri, Vincenzo
1988
The asymptotic profile of solutions of a class of doubly nonlinear equations. Zbl 0821.35081
Savaré, Giuseppe; Vespri, Vincenzo
1994
Hölder stability for Serrin’s overdetermined problem. Zbl 1348.35146
Ciraolo, Giulio; Magnanini, Rolando; Vespri, Vincenzo
2016
Harnack type estimates and Hölder continuity for non-negative solutions to certain sub-critically singular parabolic partial differential equations. Zbl 1186.35022
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
2010
A new proof of the Hölder continuity of solutions to $$p$$-Laplace type parabolic equations. Zbl 1227.35112
Gianazza, Ugo; Surnachev, Mikhail; Vespri, Vincenzo
2010
Space expansion for a solution of an anisotropic $$p$$-Laplacian equation by using a parabolic approach. Zbl 1327.35113
Düzgün, Fatma Gamze; Marcellini, Paolo; Vespri, Vincenzo
2014
Optimal $$L^ \infty$$ and Schauder estimates for elliptic and parabolic operators with unbounded coefficients. Zbl 0887.47034
Lunardi, Alessandra; Vespri, Vincenzo
1998
Decay estimates for evolutionary equations with fractional time-diffusion. Zbl 1461.35049
Dipierro, Serena; Valdinoci, Enrico; Vespri, Vincenzo
2019
Remarks on local boundedness and local holder continuity of local weak solutions to anisotropic $$p$$-Laplacian type equations. Zbl 1386.35113
Dibenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
2016
Analytic semigroups, degenerate elliptic operators and applications to nonlinear Cauchy problems. Zbl 0709.35065
Vespri, Vincenzo
1989
Generation of analytic semigroups and domain characterization for degenerate elliptic operators with unbounded coefficients arising in financial mathematics. I. Zbl 1033.47028
Gozzi, Fausto; Monte, Roberto; Vespri, Vincenzo
2002
$$L^p$$-estimates for a class of elliptic operators with unbounded coefficients in $$\mathbb{R}^N$$. Zbl 1129.35420
Metafune, Giorgio; Pallara, Diego; Vespri, Vincenzo
2005
Identification of two memory kernels and the time dependence of the heat source for a parabolic conserved phase-field model. Zbl 1095.35065
Colombo, Fabrizio; Guidetti, Davide; Vespri, Vincenzo
2005
$$L^r_{\mathrm{loc}}-L^\infty_{\mathrm{loc}}$$ estimates and expansion of positivity for a class of doubly non linear singular parabolic equations. Zbl 1284.35099
Fornaro, Simona; Sosio, Maria; Vespri, Vincenzo
2014
Maximal $$L^p$$ regularity for elliptic equations with unbounded coefficients. Zbl 1012.35027
Da Prato, Giuseppe; Vespri, Vincenzo
2002
Generation of strongly continuous semigroups by elliptic operators with unbounded coefficients in $$L^p(\mathbb{R}^n)$$. Zbl 0899.35027
Lunardi, Alessandra; Vespri, Vincenzo
1996
Continuity in two dimensions for a very degenerate elliptic equation. Zbl 1202.35107
Santambrogio, Filippo; Vespri, Vincenzo
2010
Energy estimates and integral Harnack inequality for some doubly nonlinear singular parabolic equations. Zbl 1322.35082
Fornaro, Simona; Sosio, Maria; Vespri, Vincenzo
2013
Subpotential lower bounds for nonnegative solutions to certain quasi-linear degenerate parabolic equations. Zbl 1170.35054
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
2008
Optimal behavior of the support of the solutions to a class of degenerate parabolic systems. Zbl 1331.35198
Tedeev, Anatoli; Vespri, Vincenzo
2015
An alternative approach to the Hölder continuity of solutions to some elliptic equations. Zbl 1284.35198
Düzgün, Fatma Gamze; Marcellini, Paolo; Vespri, Vincenzo
2014
A Harnack inequality for solutions of double nonlinearity parabolic equations. Zbl 1169.35349
Gianazza, Ugo; Vespri, Vincenzo
2006
Some global in time results for integrodifferential parabolic inverse problems. Zbl 1110.45010
Colombo, Fabrizio; Guidetti, Davide; Vespri, Vincenzo
2006
Large time behaviour of solutions to a class of non-autonomous, degenerate parabolic equations. Zbl 1204.35049
Ragnedda, F.; Vernier Piro, S.; Vespri, V.
2010
Asymptotic expansion of solutions to the Cauchy problem for doubly degenerate parabolic equations with measurable coefficients. Zbl 1334.35157
Gianni, Roberto; Tedeev, Anatoli; Vespri, Vincenzo
2016
Harnack type inequalities for some doubly nonlinear singular parabolic equations. Zbl 1347.35049
Vespri, Vincenzo; Sosio, Maria; Fornaro, Simona
2015
Analytic semigroups generated by non-variational elliptic systems of second order under Dirichlet boundary conditions. Zbl 0593.47048
Cannarsa, Piermarco; Terreni, Brunello; Vespri, Vincenzo
1985
Alternative forms of the Harnack inequality for non-negative solutions to certain degenerate and singular parabolic equations. Zbl 1191.35080
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
2009
A Harnack inequality for a degenerate parabolic equation. Zbl 1112.35113
Gianazza, Ugo; Vespri, Vincenzo
2006
Harnack estimates for non-negative weak solutions of a class of singular parabolic equations. Zbl 1264.35065
Fornaro, S.; Vespri, V.
2013
Interior Harnack estimates: the state-of-the-art for quasilinear singular parabolic equations. Zbl 1332.35189
Düzgün, Fatma Gamze; Fornaro, Simona; Vespri, Vincenzo
2015
Liouville-type theorems for certain degenerate and singular parabolic equations. (Théorémes de type Liouville pour quelques équations paraboliques singuliéres dégénérées.) Zbl 1198.35043
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
2010
A new approach to the expansion of positivity set of non-negative solutions to certain singular parabolic partial differential equations. Zbl 1204.35107
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
2010
Anisotropic Sobolev embeddings and the speed of propagation for parabolic equations. Zbl 1423.35145
Düzgün, Fatma Gamze; Mosconi, Sunra; Vespri, Vincenzo
2019
Pointwise estimates for the fundamental solutions of a class of singular parabolic problems. Zbl 1282.35106
Ragnedda, F.; Piro, S. Vernier; Vespri, V.
2013
Asymptotic time behaviour for non-autonomous degenerate parabolic problems with forcing term. Zbl 1239.35080
Ragnedda, Francesco; Vernier Piro, Stella; Vespri, Vincenzo
2009
$$n$$-harmonic morphisms in space are Möbius transformations. Zbl 0801.31004
Manfredi, Juan J.; Vespri, Vincenzo
1994
Intrinsic Harnack estimates for nonnegative local solutions of degenerate parabolic equations. Zbl 1112.35112
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
2006
Conservation of the mass for solutions to a class of singular parabolic equations. Zbl 1325.35110
Fino, Ahmad Z.; Düzgün, Fatma Gamze; Vespri, Vincenzo
2014
Generation of analytic semigroups and domain characterization for degenerate elliptic operators with unbounded coefficients arising in financial mathematics. II. Zbl 1157.47052
Giuli, Massimiliano; Gozzi, Fausto; Monte, Roberto; Vespri, Vincenzo
2008
Harnack type inequalities for the parabolic logarithmic $$p$$-Laplacian equation. Zbl 1447.35201
Fornaro, Simona; Henriques, Eurica; Vespri, Vincenzo
2020
Existence and regularity for a model of viscous oriented fluid accounting for second-neighbor spin-to-spin interactions. Zbl 1458.76025
Bisconti, Luca; Mariano, Paolo Maria; Vespri, Vincenzo
2018
Harnack estimates at large: sharp pointwise estimates for nonnegative solutions to a class of singular parabolic equations. Zbl 1328.35117
Calahorrano Recalde, Marco Vinicio; Vespri, Vincenzo
2015
Continuity of the saturation in the flow of two immiscible fluids in a porous medium. Zbl 1246.35110
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
2010
Generation of analytic semigroups by degenerate elliptic operators. Zbl 0883.35051
Gianazza, Ugo; Vespri, Vincenzo
1997
Analytic semigroups generated on Hölder spaces by second order elliptic systems under Dirichlet boundary conditions. Zbl 0583.35033
Cannarsa, Piermarco; Vespri, Vincenzo
1985
Existence and uniqueness results for a nonlinear stochastic partial differential equation. Zbl 0615.60056
Cannarsa, Piermarco; Vespri, Vincenzo
1987
Analytic semigroups generated in $$H^{-m,p}$$ by elliptic variational operators and applications to linear Cauchy problems. Zbl 0679.47024
Vespri, Vincenzo
1989
Abstract quasilinear parabolic equations with variable domains. Zbl 0788.34062
Vespri, Vincenzo
1991
Hölder regularity in variational parabolic non-homogeneous equations. Zbl 0794.35021
Lunardi, Alessandra; Vespri, Vincenzo
1991
Local existence, uniqueness and regularity for a class of degenerate parabolic systems arising in biological models. Zbl 0755.35059
Vespri, Vincenzo
1992
Continuity of weak solutions of a singular parabolic equation. Zbl 1112.35039
Gianazza, Ugo; Vespri, Vincenzo
2003
Analytic semigroups generated by square Hörmander operators. Zbl 0893.35040
Gianazza, Ugo; Vespri, Vincenzo
1996
Existence and uniqueness of solutions to a class of stochastic partial differential equations. Zbl 0622.60068
Cannarsa, Piermarco; Vespri, Vincenzo
1985
$$1$$-dimensional Harnack estimates. Zbl 1346.35116
Vespri, Vincenzo; Gianazza, Ugo; Düzgün, Fatma Gamze
2016
On the local behaviour of solutions of certain singular parabolic equations. Zbl 0737.35012
Vespri, Vincenzo
1991
Analytic semigroups generated by ultraweak operators. Zbl 0766.47017
Vespri, Vincenzo
1991
Generation of analytic semigroups in $$W^{k,p}(\Omega)$$ and $$C^ k(\bar \Omega)$$. Zbl 0838.47028
Colombo, Fabrizio; Vespri, Vincenzo
1996
Hölder regularity for bounded solutions to a class of anisotropic operators. Zbl 1423.35108
Piro-Vernier, Stella; Ragnedda, Francesco; Vespri, Vincenzo
2019
Moser-Nash kernel estimates for degenerate parabolic equations. Zbl 1386.35231
Bögelein, Verena; Ragnedda, Francesco; Vernier Piro, Stella; Vespri, Vincenzo
2017
Harnack and pointwise estimates for degenerate or singular parabolic equations. Zbl 1448.35004
Düzgün, Fatma Gamze; Mosconi, Sunra; Vespri, Vincenzo
2019
Local regularity for an anisotropic elliptic equation. Zbl 1442.35148
Liao, Naian; Skrypnik, Igor I.; Vespri, Vincenzo
2020
An introduction to Barenblatt solutions for anisotropic $$p$$-Laplace equations. Zbl 1461.35141
Ciani, Simone; Vespri, Vincenzo
2021
Resolvent metric and the heat kernel estimate for random walks. Zbl 1304.60055
Telcs, András; Vespri, Vincenzo
2014
A quantitative Lusin theorem for functions in BV. Zbl 1339.26022
Telcs, András; Vespri, Vincenzo
2015
The asymptotic profile of solutions of a class of singular parabolic equations. Zbl 1250.35038
Ragnedda, F.; Vernier Piro, S.; Vespri, V.
2011
$$L^ \infty$$-estimates for nonlinear parabolic equations with natural growth conditions. Zbl 0819.35083
Vespri, Vincenzo
1993
Generation of smoothing semigroups by degenerate elliptic operators arising in financial mathematics. Zbl 0923.47019
Colombo, F.; Giuli, M.; Vespri, V.
1999
A semilinear integrodifferential inverse problem. Zbl 1041.45017
Colombo, Fabrizio; Vespri, Vincenzo
2003
Analytic semigroups generated on a functional extrapolation space by variational elliptic equations. Zbl 0678.35014
Vespri, Vincenzo
1988
The functional space $$C^{-1,\alpha{}}$$ and analytic semigroups. Zbl 0743.47021
Vespri, Vincenzo
1988
A note on boundary regularity for certain degenerate parabolic equations. Zbl 0792.35102
DiBenedetto, Emmanuele; Manfredi, J.; Vespri, V.
1992
Interior and boundary continuity of the solution of the singular equation $$(\beta(u))_T =\mathcal L_u$$. Zbl 1100.35045
Gianazza, Ugo; Stroffolini, Bianca; Vespri, Vincenzo
2004
A new short proof of regularity for local weak solutions for a certain class of singular parabolic equations. Zbl 1454.35041
Ciani, Simone; Vespri, Vincenzo
2020
On the role of inhibition processes in modeling control strategies for composting plants. Zbl 1447.37082
Martalò, Giorgio; Bianchi, Cesidio; Buonomo, Bruno; Chiappini, Massimo; Vespri, Vincenzo
2020
Regularity results for a class of doubly nonlinear very singular parabolic equations. Zbl 1458.35095
Fornaro, S.; Henriques, E.; Vespri, V.
2021
Mathematical modeling of oxygen control in biocell composting plants. Zbl 07318090
Martalò, Giorgio; Bianchi, Cesidio; Buonomo, Bruno; Chiappini, Massimo; Vespri, Vincenzo
2020
On Hölder continuity and equivalent formulation of intrinsic Harnack estimates for an anisotropic parabolic degenerate prototype equation. Zbl 07381520
Ciani, Simone; Vespri, Vincenzo
2021
An introduction to Barenblatt solutions for anisotropic $$p$$-Laplace equations. Zbl 1461.35141
Ciani, Simone; Vespri, Vincenzo
2021
Regularity results for a class of doubly nonlinear very singular parabolic equations. Zbl 1458.35095
Fornaro, S.; Henriques, E.; Vespri, V.
2021
On Hölder continuity and equivalent formulation of intrinsic Harnack estimates for an anisotropic parabolic degenerate prototype equation. Zbl 07381520
Ciani, Simone; Vespri, Vincenzo
2021
Harnack type inequalities for the parabolic logarithmic $$p$$-Laplacian equation. Zbl 1447.35201
Fornaro, Simona; Henriques, Eurica; Vespri, Vincenzo
2020
Local regularity for an anisotropic elliptic equation. Zbl 1442.35148
Liao, Naian; Skrypnik, Igor I.; Vespri, Vincenzo
2020
A new short proof of regularity for local weak solutions for a certain class of singular parabolic equations. Zbl 1454.35041
Ciani, Simone; Vespri, Vincenzo
2020
On the role of inhibition processes in modeling control strategies for composting plants. Zbl 1447.37082
Martalò, Giorgio; Bianchi, Cesidio; Buonomo, Bruno; Chiappini, Massimo; Vespri, Vincenzo
2020
Mathematical modeling of oxygen control in biocell composting plants. Zbl 07318090
Martalò, Giorgio; Bianchi, Cesidio; Buonomo, Bruno; Chiappini, Massimo; Vespri, Vincenzo
2020
Decay estimates for evolutionary equations with fractional time-diffusion. Zbl 1461.35049
Dipierro, Serena; Valdinoci, Enrico; Vespri, Vincenzo
2019
Anisotropic Sobolev embeddings and the speed of propagation for parabolic equations. Zbl 1423.35145
Düzgün, Fatma Gamze; Mosconi, Sunra; Vespri, Vincenzo
2019
Hölder regularity for bounded solutions to a class of anisotropic operators. Zbl 1423.35108
Piro-Vernier, Stella; Ragnedda, Francesco; Vespri, Vincenzo
2019
Harnack and pointwise estimates for degenerate or singular parabolic equations. Zbl 1448.35004
Düzgün, Fatma Gamze; Mosconi, Sunra; Vespri, Vincenzo
2019
Existence and regularity for a model of viscous oriented fluid accounting for second-neighbor spin-to-spin interactions. Zbl 1458.76025
Bisconti, Luca; Mariano, Paolo Maria; Vespri, Vincenzo
2018
Moser-Nash kernel estimates for degenerate parabolic equations. Zbl 1386.35231
Bögelein, Verena; Ragnedda, Francesco; Vernier Piro, Stella; Vespri, Vincenzo
2017
Hölder stability for Serrin’s overdetermined problem. Zbl 1348.35146
Ciraolo, Giulio; Magnanini, Rolando; Vespri, Vincenzo
2016
Remarks on local boundedness and local holder continuity of local weak solutions to anisotropic $$p$$-Laplacian type equations. Zbl 1386.35113
Dibenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
2016
Asymptotic expansion of solutions to the Cauchy problem for doubly degenerate parabolic equations with measurable coefficients. Zbl 1334.35157
Gianni, Roberto; Tedeev, Anatoli; Vespri, Vincenzo
2016
$$1$$-dimensional Harnack estimates. Zbl 1346.35116
Vespri, Vincenzo; Gianazza, Ugo; Düzgün, Fatma Gamze
2016
Optimal behavior of the support of the solutions to a class of degenerate parabolic systems. Zbl 1331.35198
Tedeev, Anatoli; Vespri, Vincenzo
2015
Harnack type inequalities for some doubly nonlinear singular parabolic equations. Zbl 1347.35049
Vespri, Vincenzo; Sosio, Maria; Fornaro, Simona
2015
Interior Harnack estimates: the state-of-the-art for quasilinear singular parabolic equations. Zbl 1332.35189
Düzgün, Fatma Gamze; Fornaro, Simona; Vespri, Vincenzo
2015
Harnack estimates at large: sharp pointwise estimates for nonnegative solutions to a class of singular parabolic equations. Zbl 1328.35117
Calahorrano Recalde, Marco Vinicio; Vespri, Vincenzo
2015
A quantitative Lusin theorem for functions in BV. Zbl 1339.26022
Telcs, András; Vespri, Vincenzo
2015
Space expansion for a solution of an anisotropic $$p$$-Laplacian equation by using a parabolic approach. Zbl 1327.35113
Düzgün, Fatma Gamze; Marcellini, Paolo; Vespri, Vincenzo
2014
$$L^r_{\mathrm{loc}}-L^\infty_{\mathrm{loc}}$$ estimates and expansion of positivity for a class of doubly non linear singular parabolic equations. Zbl 1284.35099
Fornaro, Simona; Sosio, Maria; Vespri, Vincenzo
2014
An alternative approach to the Hölder continuity of solutions to some elliptic equations. Zbl 1284.35198
Düzgün, Fatma Gamze; Marcellini, Paolo; Vespri, Vincenzo
2014
Conservation of the mass for solutions to a class of singular parabolic equations. Zbl 1325.35110
Fino, Ahmad Z.; Düzgün, Fatma Gamze; Vespri, Vincenzo
2014
Resolvent metric and the heat kernel estimate for random walks. Zbl 1304.60055
Telcs, András; Vespri, Vincenzo
2014
Energy estimates and integral Harnack inequality for some doubly nonlinear singular parabolic equations. Zbl 1322.35082
Fornaro, Simona; Sosio, Maria; Vespri, Vincenzo
2013
Harnack estimates for non-negative weak solutions of a class of singular parabolic equations. Zbl 1264.35065
Fornaro, S.; Vespri, V.
2013
Pointwise estimates for the fundamental solutions of a class of singular parabolic problems. Zbl 1282.35106
Ragnedda, F.; Piro, S. Vernier; Vespri, V.
2013
Harnack’s inequality for degenerate and singular parabolic equations. Zbl 1237.35004
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
2011
The asymptotic profile of solutions of a class of singular parabolic equations. Zbl 1250.35038
Ragnedda, F.; Vernier Piro, S.; Vespri, V.
2011
Forward, backward and elliptic Harnack inequalities for non-negative solutions to certain singular parabolic partial differential equations. Zbl 1206.35053
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
2010
Harnack type estimates and Hölder continuity for non-negative solutions to certain sub-critically singular parabolic partial differential equations. Zbl 1186.35022
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
2010
A new proof of the Hölder continuity of solutions to $$p$$-Laplace type parabolic equations. Zbl 1227.35112
Gianazza, Ugo; Surnachev, Mikhail; Vespri, Vincenzo
2010
Continuity in two dimensions for a very degenerate elliptic equation. Zbl 1202.35107
Santambrogio, Filippo; Vespri, Vincenzo
2010
Large time behaviour of solutions to a class of non-autonomous, degenerate parabolic equations. Zbl 1204.35049
Ragnedda, F.; Vernier Piro, S.; Vespri, V.
2010
Liouville-type theorems for certain degenerate and singular parabolic equations. (Théorémes de type Liouville pour quelques équations paraboliques singuliéres dégénérées.) Zbl 1198.35043
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
2010
A new approach to the expansion of positivity set of non-negative solutions to certain singular parabolic partial differential equations. Zbl 1204.35107
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
2010
Continuity of the saturation in the flow of two immiscible fluids in a porous medium. Zbl 1246.35110
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
2010
Alternative forms of the Harnack inequality for non-negative solutions to certain degenerate and singular parabolic equations. Zbl 1191.35080
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
2009
Asymptotic time behaviour for non-autonomous degenerate parabolic problems with forcing term. Zbl 1239.35080
Ragnedda, Francesco; Vernier Piro, Stella; Vespri, Vincenzo
2009
Harnack estimates for quasi-linear degenerate parabolic differential equations. Zbl 1221.35213
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
2008
Subpotential lower bounds for nonnegative solutions to certain quasi-linear degenerate parabolic equations. Zbl 1170.35054
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
2008
Generation of analytic semigroups and domain characterization for degenerate elliptic operators with unbounded coefficients arising in financial mathematics. II. Zbl 1157.47052
Giuli, Massimiliano; Gozzi, Fausto; Monte, Roberto; Vespri, Vincenzo
2008
Local clustering of the non-zero set of functions in $$W^{1,1} (E)$$. Zbl 1223.46034
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
2006
Parabolic De Giorgi classes of order $$p$$ and the Harnack inequality. Zbl 1098.35077
Gianazza, Ugo; Vespri, Vincenzo
2006
A Harnack inequality for solutions of double nonlinearity parabolic equations. Zbl 1169.35349
Gianazza, Ugo; Vespri, Vincenzo
2006
Some global in time results for integrodifferential parabolic inverse problems. Zbl 1110.45010
Colombo, Fabrizio; Guidetti, Davide; Vespri, Vincenzo
2006
A Harnack inequality for a degenerate parabolic equation. Zbl 1112.35113
Gianazza, Ugo; Vespri, Vincenzo
2006
Intrinsic Harnack estimates for nonnegative local solutions of degenerate parabolic equations. Zbl 1112.35112
DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
2006
$$L^p$$-estimates for a class of elliptic operators with unbounded coefficients in $$\mathbb{R}^N$$. Zbl 1129.35420
Metafune, Giorgio; Pallara, Diego; Vespri, Vincenzo
2005
Identification of two memory kernels and the time dependence of the heat source for a parabolic conserved phase-field model. Zbl 1095.35065
Colombo, Fabrizio; Guidetti, Davide; Vespri, Vincenzo
2005
Current issues on singular and degenerate evolution equations. Zbl 1082.35002
DiBenedetto, Emmanuele; Urbano, José Miguel; Vespri, Vincenzo
2004
Interior and boundary continuity of the solution of the singular equation $$(\beta(u))_T =\mathcal L_u$$. Zbl 1100.35045
Gianazza, Ugo; Stroffolini, Bianca; Vespri, Vincenzo
2004
Continuity of weak solutions of a singular parabolic equation. Zbl 1112.35039
Gianazza, Ugo; Vespri, Vincenzo
2003
A semilinear integrodifferential inverse problem. Zbl 1041.45017
Colombo, Fabrizio; Vespri, Vincenzo
2003
Generation of analytic semigroups and domain characterization for degenerate elliptic operators with unbounded coefficients arising in financial mathematics. I. Zbl 1033.47028
Gozzi, Fausto; Monte, Roberto; Vespri, Vincenzo
2002
Maximal $$L^p$$ regularity for elliptic equations with unbounded coefficients. Zbl 1012.35027
Da Prato, Giuseppe; Vespri, Vincenzo
2002
Some results on partial differential equations and Asian options. Zbl 1034.35166
Barucci, E.; Polidoro, S.; Vespri, V.
2001
Generation of smoothing semigroups by degenerate elliptic operators arising in financial mathematics. Zbl 0923.47019
Colombo, F.; Giuli, M.; Vespri, V.
1999
Optimal $$L^ \infty$$ and Schauder estimates for elliptic and parabolic operators with unbounded coefficients. Zbl 0887.47034
Lunardi, Alessandra; Vespri, Vincenzo
1998
Generation of analytic semigroups by degenerate elliptic operators. Zbl 0883.35051
Gianazza, Ugo; Vespri, Vincenzo
1997
Generation of strongly continuous semigroups by elliptic operators with unbounded coefficients in $$L^p(\mathbb{R}^n)$$. Zbl 0899.35027
Lunardi, Alessandra; Vespri, Vincenzo
1996
Analytic semigroups generated by square Hörmander operators. Zbl 0893.35040
Gianazza, Ugo; Vespri, Vincenzo
1996
Generation of analytic semigroups in $$W^{k,p}(\Omega)$$ and $$C^ k(\bar \Omega)$$. Zbl 0838.47028
Colombo, Fabrizio; Vespri, Vincenzo
1996
On the singular equation $$\beta (u)_ t=\Delta u$$. Zbl 0849.35060
DiBenedetto, E.; Vespri, V.
1995
Large time behavior of solutions to a class of doubly nonlinear parabolic equations. Zbl 0787.35047
Manfredi, Juan J.; Vespri, Vincenzo
1994
Harnack type inequalities for solutions of certain doubly nonlinear parabolic equations. Zbl 0798.35073
Vespri, Vincenzo
1994
The asymptotic profile of solutions of a class of doubly nonlinear equations. Zbl 0821.35081
Savaré, Giuseppe; Vespri, Vincenzo
1994
$$n$$-harmonic morphisms in space are Möbius transformations. Zbl 0801.31004
Manfredi, Juan J.; Vespri, Vincenzo
1994
Hölder estimates for local solutions of some doubly nonlinear degenerate parabolic equations. Zbl 0796.35089
Porzio, M. M.; Vespri, V.
1993
$$L^ \infty$$-estimates for nonlinear parabolic equations with natural growth conditions. Zbl 0819.35083
Vespri, Vincenzo
1993
On the local behaviour of solutions of a certain class of doubly nonlinear parabolic equations. Zbl 0755.35053
Vespri, Vincenzo
1992
Local existence, uniqueness and regularity for a class of degenerate parabolic systems arising in biological models. Zbl 0755.35059
Vespri, Vincenzo
1992
A note on boundary regularity for certain degenerate parabolic equations. Zbl 0792.35102
DiBenedetto, Emmanuele; Manfredi, J.; Vespri, V.
1992
Local space-analyticity of solutions of certain singular parabolic equations. Zbl 0784.35055
DiBenedetto, Emmanuele; Kwong, Y.; Vespri, V.
1991
Abstract quasilinear parabolic equations with variable domains. Zbl 0788.34062
Vespri, Vincenzo
1991
Hölder regularity in variational parabolic non-homogeneous equations. Zbl 0794.35021
Lunardi, Alessandra; Vespri, Vincenzo
1991
On the local behaviour of solutions of certain singular parabolic equations. Zbl 0737.35012
Vespri, Vincenzo
1991
Analytic semigroups generated by ultraweak operators. Zbl 0766.47017
Vespri, Vincenzo
1991
Analytic semigroups, degenerate elliptic operators and applications to nonlinear Cauchy problems. Zbl 0709.35065
Vespri, Vincenzo
1989
Analytic semigroups generated in $$H^{-m,p}$$ by elliptic variational operators and applications to linear Cauchy problems. Zbl 0679.47024
Vespri, Vincenzo
1989
Generation of analytic semigroups in the $$L^ p$$ topology by elliptic operators in $${\mathbb{R}}^ n$$. Zbl 0669.35026
Cannarsa, Piermarco; Vespri, Vincenzo
1988
Analytic semigroups generated on a functional extrapolation space by variational elliptic equations. Zbl 0678.35014
Vespri, Vincenzo
1988
The functional space $$C^{-1,\alpha{}}$$ and analytic semigroups. Zbl 0743.47021
Vespri, Vincenzo
1988
Generation of analytic semigroups by elliptic operators with unbounded coefficients. Zbl 0623.47039
Cannarsa, Piermarco; Vespri, Vincenzo
1987
Existence and uniqueness results for a nonlinear stochastic partial differential equation. Zbl 0615.60056
Cannarsa, Piermarco; Vespri, Vincenzo
1987
On maximal $$L^ p$$ regularity for the abstract Cauchy problem. Zbl 0608.35027
Cannarsa, Piermarco; Vespri, Vincenzo
1986
Analytic semigroups generated by non-variational elliptic systems of second order under Dirichlet boundary conditions. Zbl 0593.47048
Cannarsa, Piermarco; Terreni, Brunello; Vespri, Vincenzo
1985
Analytic semigroups generated on Hölder spaces by second order elliptic systems under Dirichlet boundary conditions. Zbl 0583.35033
Cannarsa, Piermarco; Vespri, Vincenzo
1985
Existence and uniqueness of solutions to a class of stochastic partial differential equations. Zbl 0622.60068
Cannarsa, Piermarco; Vespri, Vincenzo
1985
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### Cited by 701 Authors

 45 Vespri, Vincenzo Riccardo 39 Winkler, Michael 24 Gianazza, Ugo Pietro 17 Vazquez, Juan Luis 16 Kuusi, Tuomo 15 Polidoro, Sergio 14 Pascucci, Andrea 13 Urbano, José Miguel 13 Zhan, Huashui 12 Parviainen, Mikko 11 Bögelein, Verena 11 DiBenedetto, Emmanuele 11 Jin, Hai-Yang 11 Kinnunen, Juha 11 Liao, Naian 11 Tao, Youshan 10 Bonforte, Matteo 10 Lunardi, Alessandra 10 Mu, Chunlai 9 Da Prato, Giuseppe 9 Fornaro, Simona 9 Henriques, Eurica 9 Marcellini, Paolo 9 Skrypnik, Igor Igorievich 8 Grillo, Gabriele 8 Nyström, Kaj 8 Surnachëv, Mikhaĭl Dmitrievich 8 Zheng, Pan 7 Hoang, Luan Thach 7 Ivanov, Aleksandr Vasil’evich 7 Kieu, Thinh Tri 7 Metafune, Giorgio 7 Mingione, Giuseppe 7 Muratori, Matteo 7 Scheven, Christoph 6 Brasco, Lorenzo 6 Duzaar, Frank 6 Krylov, Nicolaĭ Vladimirovich 6 Liu, Zhengrong 6 Slodička, Marián 6 Tedeev, Anatoliĭ Fedorovich 6 Wang, Liangchen 6 Wang, Yulan 6 Wang, Zhian 5 Andreucci, Daniele 5 Cao, Xinru 5 Colombo, Fabrizio 5 Dipierro, Serena 5 Fragnelli, Genni 5 Lankeit, Johannes 5 Lin, Ke 5 Niu, Pengcheng 5 Paronetto, Fabio 5 Priola, Enrico 5 Ragnedda, Francesco 5 Ren, Guoqiang 5 Schnaubelt, Roland 5 Shi, Shijie 5 Siljander, Juhana 5 Singer, Thomas 5 Valdinoci, Enrico 5 Wang, Yifu 5 Xiang, Zhaoyin 5 Yin, Jingxue 4 Akagi, Goro 4 Audrito, Alessandro 4 Baroni, Paolo 4 Bisconti, Luca 4 Cannarsa, Piermarco 4 Ciani, Simone 4 Düzgün, Fatma Gamze 4 Feng, Zhaosheng 4 Figalli, Alessio 4 Hu, Xuegang 4 Iagar, Razvan Gabriel 4 Kassmann, Moritz 4 Li, Dan 4 Lindqvist, Peter 4 Mariano, Paolo Maria 4 Menozzi, Stéphane 4 Pallara, Diego 4 Poggesi, Giorgio 4 Prüß, Jan Wilhelm 4 Santambrogio, Filippo 4 Shang, Haifeng 4 Sturm, Stefan 4 Sun, Jiebao 4 Vernier-Piro, Stella 4 Yokota, Tomomi 4 Zhao, Jie 3 Amann, Herbert 3 Anceschi, Francesca 3 Avelin, Benny 3 Bhattacharya, Tilak 3 Björn, Anders 3 Björn, Jana 3 Black, Tobias 3 Bousquet, Pierre 3 Cinti, Chiara 3 Ciraolo, Giulio ...and 601 more Authors
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### Cited in 166 Serials

 73 Journal of Differential Equations 53 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 44 Journal of Mathematical Analysis and Applications 22 Calculus of Variations and Partial Differential Equations 21 Journal of Evolution Equations 18 Journal of Mathematical Sciences (New York) 17 Journal de Mathématiques Pures et Appliquées. Neuvième Série 16 Nonlinear Analysis. Real World Applications 14 Annali di Matematica Pura ed Applicata. Serie Quarta 14 Mathematische Annalen 13 Manuscripta Mathematica 11 Journal of Functional Analysis 11 Discrete and Continuous Dynamical Systems 10 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 10 Communications in Partial Differential Equations 10 NoDEA. Nonlinear Differential Equations and Applications 10 Discrete and Continuous Dynamical Systems. Series B 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 Discrete and Continuous Dynamical Systems. Series S 8 Proceedings of the American Mathematical Society 8 Semigroup Forum 7 Applicable Analysis 7 Archive for Rational Mechanics and Analysis 7 Israel Journal of Mathematics 7 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 6 Nonlinearity 6 Advances in Mathematics 6 Transactions of the American Mathematical Society 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 SIAM Journal on Mathematical Analysis 6 Boundary Value Problems 5 Journal d’Analyse Mathématique 5 Applied Mathematics Letters 5 Communications on Pure and Applied Analysis 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 4 Computers & Mathematics with Applications 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 4 Archiv der Mathematik 4 Journal of Computational and Applied Mathematics 4 Journal of Optimization Theory and Applications 4 Results in Mathematics 4 Acta Applicandae Mathematicae 4 Potential Analysis 4 Communications in Contemporary Mathematics 4 Milan Journal of Mathematics 4 Analysis & PDE 3 Inverse Problems 3 Journal of Mathematical Physics 3 Applied Mathematics and Computation 3 Indiana University Mathematics Journal 3 Mathematische Zeitschrift 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Applied Numerical Mathematics 3 Revista Matemática Iberoamericana 3 The Journal of Geometric Analysis 3 SIAM Journal on Applied Mathematics 3 Stochastic Processes and their Applications 3 Journal of Inequalities and Applications 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Journal of Function Spaces 3 Journal of Elliptic and Parabolic Equations 2 Communications in Mathematical Physics 2 Mathematical Methods in the Applied Sciences 2 Mathematical Notes 2 The Annals of Probability 2 Mathematische Nachrichten 2 Rendiconti del Seminario Matematico della Università di Padova 2 SIAM Journal on Numerical Analysis 2 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 2 Zeitschrift für Analysis und ihre Anwendungen 2 Chinese Annals of Mathematics. Series B 2 Physica D 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Journal of Dynamics and Differential Equations 2 Electronic Journal of Differential Equations (EJDE) 2 Journal of Inverse and Ill-Posed Problems 2 Electronic Research Announcements of the American Mathematical Society 2 Finance and Stochastics 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Acta Mathematica Sinica. English Series 2 Decisions in Economics and Finance 2 Advanced Nonlinear Studies 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Advances in Difference Equations 2 Advances in Calculus of Variations 2 Evolution Equations and Control Theory 2 Advances in Nonlinear Analysis 2 Nonautonomous Dynamical Systems 2 Nonlinear Analysis. Theory, Methods & Applications 1 Communications on Pure and Applied Mathematics 1 Journal of Mathematical Biology 1 Letters in Mathematical Physics 1 Studia Mathematica 1 Arkiv för Matematik 1 Chaos, Solitons and Fractals 1 Theory of Probability and its Applications 1 Acta Mathematica 1 Applied Mathematics and Optimization 1 Collectanea Mathematica 1 Czechoslovak Mathematical Journal ...and 66 more Serials
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### Cited in 34 Fields

 641 Partial differential equations (35-XX) 132 Biology and other natural sciences (92-XX) 73 Operator theory (47-XX) 48 Calculus of variations and optimal control; optimization (49-XX) 42 Fluid mechanics (76-XX) 41 Probability theory and stochastic processes (60-XX) 28 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 24 Numerical analysis (65-XX) 21 Functional analysis (46-XX) 20 Differential geometry (53-XX) 18 Global analysis, analysis on manifolds (58-XX) 17 Ordinary differential equations (34-XX) 16 Integral equations (45-XX) 14 Potential theory (31-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 10 Classical thermodynamics, heat transfer (80-XX) 10 Systems theory; control (93-XX) 9 Mechanics of deformable solids (74-XX) 8 Real functions (26-XX) 4 History and biography (01-XX) 4 Measure and integration (28-XX) 4 Functions of a complex variable (30-XX) 4 Dynamical systems and ergodic theory (37-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Topological groups, Lie groups (22-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)