Edit Profile (opens in new tab) D’Ancona, Piero Co-Author Distance Author ID: dancona.piero Published as: D’Ancona, Piero; D’Ancona, P.; d’Ancona, Piero; D’ancona, Piero more...less External Links: MGP · ORCID · Wikidata · IdRef Documents Indexed: 102 Publications since 1988, including 1 Additional arXiv Preprint 1 Contribution as Editor Co-Authors: 47 Co-Authors with 84 Joint Publications 1,336 Co-Co-Authors all top 5 Co-Authors 19 single-authored 14 Spagnolo, Sergio 10 Georgiev, Vladimir S. 8 Fanelli, Luca 8 Selberg, Sigmund 6 Foschi, Damiano 5 Luca, Renato 5 Pierfelice, Vittoria 4 Cacciafesta, Federico 4 The Anh Bui 3 Di Flaviano, Mariagrazia 3 Kinoshita, Tamotu 3 Kubo, Hideo 3 Manfrin, Renato 2 Duong, Xuan Thinh 2 Nicola, Fabio 2 Okamoto, Mamoru 2 Racke, Reinhard 2 Schiavone, Nico Michele 2 Schnaubelt, Roland 2 Visciglia, Nicola 2 Zampieri, Giuseppe 1 Ambrosio, Luigi 1 Boussaid, Nabile 1 Braides, Andrea 1 Cappiello, Marco 1 Cassano, Biagio 1 D’Agnolo, Andrea 1 Di Giuseppe, Alessandra 1 Gaveau, Bernard 1 Krejčiřík, David 1 Li, Ji 1 Ly, Fu Ken 1 Maheux, Patrick 1 Montefusco, Eugenio 1 Mortola, Stefano 1 Müller, Detlef 1 Nicaise, Serge 1 Reissig, Michael 1 Ricci, Fulvio 1 Shibata, Yoshihiro 1 Teta, Alessandro 1 Tose, Nobuyuki 1 Trebeschi, Paola 1 Vega, Luis 1 Xuan Thinh Duong 1 Zanni, Angelo 1 Zhang, Qidi all top 5 Serials 8 Journal of Differential Equations 5 Mathematische Annalen 5 Communications in Partial Differential Equations 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Archive for Rational Mechanics and Analysis 3 Communications on Pure and Applied Mathematics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Hokkaido Mathematical Journal 3 Journal of Functional Analysis 3 Mathematische Zeitschrift 3 The Journal of Fourier Analysis and Applications 3 Nonlinear Analysis. Theory, Methods & Applications 2 Communications in Mathematical Physics 2 Journal of Mathematical Analysis and Applications 2 Mathematical Methods in the Applied Sciences 2 Advances in Mathematics 2 Mathematische Nachrichten 1 Nonlinearity 1 American Journal of Mathematics 1 Funkcialaj Ekvacioj. Serio Internacia 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Manuscripta Mathematica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Osaka Journal of Mathematics 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Rendiconti del Seminario Matematico della Università di Padova 1 Transactions of the American Mathematical Society 1 Tsukuba Journal of Mathematics 1 Chinese Annals of Mathematics. Series B 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Revista Matemática Iberoamericana 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Differential and Integral Equations 1 IMRN. International Mathematics Research Notices 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Mathematical Analysis 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Bollettino della Unione Matemàtica Italiana. Serie VII. B 1 Electronic Journal of Differential Equations (EJDE) 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 1 Journal of Mathematical Fluid Mechanics 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Nonlinear and Convex Analysis 1 Communications on Pure and Applied Analysis 1 Journal of Hyperbolic Differential Equations 1 Quaderni di Matematica 1 Journal of Spectral Theory 1 Analysis and Mathematical Physics 1 Evolution Equations and Control Theory all top 5 Fields 92 Partial differential equations (35-XX) 13 Global analysis, analysis on manifolds (58-XX) 10 Quantum theory (81-XX) 7 Operator theory (47-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Functional analysis (46-XX) 4 Ordinary differential equations (34-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of deformable solids (74-XX) 3 Optics, electromagnetic theory (78-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Fluid mechanics (76-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Differential geometry (53-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 83 Publications have been cited 1,259 times in 872 Documents Cited by ▼ Year ▼ Global solvability for the degenerate Kirchhoff equation with real analytic data. Zbl 0785.35067 D’Ancona, Piero; Spagnolo, Sergio 291 1992 Strichartz and smoothing estimates for dispersive equations with magnetic potentials. Zbl 1160.35363 D’Ancona, Piero; Fanelli, Luca 71 2008 Endpoint Strichartz estimates for the magnetic Schrödinger equation. Zbl 1188.81061 D’Ancona, Piero; Fanelli, Luca; Vega, Luis; Visciglia, Nicola 48 2010 Nonlinear perturbations of the Kirchhoff equation. Zbl 0807.35093 D’Ancona, Piero; Spagnolo, Sergio 46 1994 Null structure and almost optimal local regularity for the Dirac-Klein-Gordon system. Zbl 1187.35191 D’Ancona, Piero; Foschi, Damiano; Selberg, Sigmund 44 2007 On the wave equation with a large rough potential. Zbl 1087.35058 D’Ancona, Piero; Pierfelice, Vittoria 40 2005 \(L^p\)-boundedness of the wave operator for the one dimensional Schrödinger operator. Zbl 1127.35053 D’Ancona, Piero; Fanelli, Luca 34 2006 Decay estimates for the wave and Dirac equations with a magnetic potential. Zbl 1154.35087 D’Ancona, Piero; Fanelli, Luca 33 2007 Endpoint estimates and global existence for the nonlinear Dirac equation with potential. Zbl 1260.35159 Cacciafesta, Federico; D’Ancona, Piero 31 2013 A class of nonlinear hyperbolic problems with global solutions. Zbl 0826.35072 D’Ancona, Piero; Spagnolo, Sergio 30 1993 On global solvability of nonlinear viscoelastic equations in the analytic category. Zbl 0803.35091 D’Ancona, Piero; Shibata, Yoshihiro 28 1994 Quasi-symmetrization of hyperbolic systems and propagation of the analytic regularity. Zbl 0916.35063 D’Ancona, Piero; Spagnolo, Sergio 26 1998 Stein-Weiss and Caffarelli-Kohn-Nirenberg inequalities with angular integrability. Zbl 1234.26043 D’Ancona, Piero; Luca, Renato 25 2012 Kato smoothing and Strichartz estimates for wave equations with magnetic potentials. Zbl 1311.35166 D’Ancona, Piero 24 2015 Local well-posedness below the charge norm for the Dirac-Klein-Gordon system in two space dimensions. Zbl 1129.35066 D’Ancona, Piero; Foschi, Damiano; Selberg, Sigmund 20 2007 Product estimates for wave-Sobolev spaces in \(2+1\) and \(1+1\) dimensions. Zbl 1222.35006 D’Ancona, Piero; Foschi, Damiano; Selberg, Sigmund 20 2010 Null structure and almost optimal local well-posedness of the Maxwell-Dirac system. Zbl 1196.35177 D’Ancona, Piero; Foschi, Damiano; Selberg, Sigmund 20 2010 Weighted \(L^p\) estimates for powers of selfadjoint operators. Zbl 1245.42010 Cacciafesta, Federico; D’Ancona, Piero 20 2012 Atlas of products for wave-Sobolev spaces on \(\mathbb{R}^{1+3}\). Zbl 1255.35016 D’ancona, Piero; Foschi, Damiano; Selberg, Sigmund 18 2012 Weighted decay estimates for the wave equation. Zbl 0995.35011 D’Ancona, Piero; Georgiev, Vladimir; Kubo, Hideo 18 2001 On the regularity set and angular integrability for the Navier-Stokes equation. Zbl 1350.35143 D’Ancona, Piero; Lucà, Renato 18 2016 Virial identity and weak dispersion for the magnetic Dirac equation. Zbl 1213.35149 Boussaid, Nabile; D’Ancona, Piero; Fanelli, Luca 17 2011 Kirchhoff type equations depending on a small parameter. Zbl 0837.35092 D’Ancona, Piero; Spagnolo, Sergio 17 1995 Sharp \(L^p\) estimates for Schrödinger groups. Zbl 1353.42009 D’ancona, Piero; Nicola, Fabio 16 2016 A note on a theorem of Jörgens. Zbl 0816.35086 D’Ancona, Piero 15 1995 On an abstract weakly hyperbolic equation modelling the nonlinear vibrating string. Zbl 0898.35103 D’Ancona, Piero; Spagnolo, Sergio 14 1992 Some remarks on the Schrödinger equation with a potential in \(L^r_t L^s_x\). Zbl 1082.35038 D’Ancona, Piero; Pierfelice, Vittoria; Visciglia, Nicola 14 2005 A short proof of commutator estimates. Zbl 1415.42016 D’Ancona, Piero 13 2019 Global well-posedness of the Maxwell-Dirac system in two space dimensions. Zbl 1216.35149 D’Ancona, Piero; Selberg, Sigmund 12 2011 On the well-posedness of the Cauchy problem for weakly hyperbolic equations of higher order. Zbl 1078.35065 D’Ancona, Piero; Kinoshita, Tamotu 11 2005 Weighted estimates for powers and smoothing estimates of Schrödinger operators with inverse-square potentials. Zbl 1361.35121 Bui, The Anh; D’Ancona, Piero; Duong, Xuan Thinh; Li, Ji; Ly, Fu Ken 11 2017 Global existence with large data for a nonlinear weakly hyperbolic equation. Zbl 0994.35093 D’Ancona, Piero; Di Giuseppe, Alessandra 10 2001 Dispersive estimate for the Schrödinger equation with point interactions. Zbl 1095.35038 D’Ancona, Piero; Pierfelice, Vittoria; Teta, Alessandro 10 2006 Weakly hyperbolic systems with Hölder continuous coefficients. Zbl 1068.35065 D’Ancona, Piero; Kinoshita, Tamotu; Spagnolo, Sergio 9 2004 Gevrey well-posedness of an abstract Cauchy problem of weakly hyperbolic type. Zbl 0706.35077 D’Ancona, Piero 9 1988 Local existence for semilinear weakly hyperbolic equations with time dependent coefficients. Zbl 0830.35089 D’Ancona, Piero 9 1993 On the flows associated to selfadjoint operators on metric measure spaces. Zbl 1430.42029 Bui, The Anh; D’Ancona, Piero; Duong, Xuan Thinh; Müller, Detlef 9 2019 On the radius of spatial analyticity for semilinear symmetric hyperbolic systems. Zbl 1286.35155 Cappiello, Marco; D’Ancona, Piero; Nicola, Fabio 8 2014 On large potential perturbations of the Schrödinger, wave and Klein-Gordon equations. Zbl 1428.35431 D’Ancona, Piero 8 2020 Evolution equations on non-flat waveguides. Zbl 1256.35160 D’Ancona, Piero; Racke, Reinhard 8 2012 Smoothing estimates for the Schrödinger equation with unbounded potentials. Zbl 1173.35031 D’Ancona, Piero; Fanelli, Luca 7 2009 On the wave equation associated to the Hermite and the twisted Laplacian. Zbl 1191.35076 D’Ancona, Piero; Pierfelice, Vittoria; Ricci, Fulvio 7 2010 On the 2 by 2 weakly hyperbolic systems. Zbl 1177.35132 D’Ancona, Piero; Kinoshita, Tamotu; Spagnolo, Sergio 7 2008 Scattering in the energy space for the NLS with variable coefficients. Zbl 1352.35158 Cassano, Biagio; D’Ancona, Piero 7 2016 Blow-up for nonlinear Maxwell equations. Zbl 1391.35075 D’Ancona, Piero; Nicaise, Serge; Schnaubelt, Roland 6 2018 On pseudosymmetric hyperbolic systems. Zbl 1014.35055 D’Ancona, Piero; Spagnolo, Sergio 6 1997 On the life span of the analytic solutions to quasilinear weakly hyperbolic equations. Zbl 0729.35012 D’Ancona, Piero; Spagnolo, Sergio 6 1991 Eigenvalue bounds for non-selfadjoint Dirac operators. Zbl 1504.35202 D’Ancona, Piero; Fanelli, Luca; Schiavone, Nico Michele 6 2022 A class of locally solvable semilinear equations of weakly hyperbolic type. Zbl 0849.35076 D’Ancona, Piero; Manfrin, Renato 5 1995 A remark on uniformly symmetrizable systems. Zbl 1195.35203 D’Ancona, Piero; Spagnolo, Sergio 5 2001 Gamma-convergence and the least squares method. Zbl 0813.49015 Ambrosio, L.; D’Ancona, P.; Mortola, S. 5 1994 Global existence of small equivariant wave maps on rotationally symmetric manifolds. Zbl 1338.58019 D’Ancona, Piero; Zhang, Qidi 5 2016 Helmholtz and dispersive equations with variable coefficients on exterior domains. Zbl 1338.35143 Cacciafesta, Federico; D’Ancona, Piero; Lucà, Renato 5 2016 Small analytic solutions to nonlinear weakly hyperbolic systems. Zbl 0858.35079 D’Ancona, Piero; Spagnolo, Sergio 4 1995 Dispersive estimate for the 1D Schrödinger equation with a steplike potential. Zbl 1232.35037 D’Ancona, Piero; Selberg, Sigmund 4 2012 On the local solvability for a nonlinear weakly hyperbolic equation with analytic coefficients. Zbl 0988.35116 D’Ancona, Piero; Trebeschi, Paola 4 2001 On the cubic Dirac equation with potential and the Lochak-Majorana condition. Zbl 1390.35297 D’Ancona, Piero; Okamoto, Mamoru 3 2017 Wave maps and ill-posedness of their Cauchy problem. Zbl 1130.35087 D’Ancona, Piero; Georgiev, Vladimir 3 2005 On a semilinear weakly hyperbolic equation with logarithmic nonlinearity. Zbl 0817.35058 D’Ancona, Piero 3 1994 Well posedness in \(C^ \infty\) for a weakly hyperbolic second order equation. Zbl 0820.35097 D’Ancona, Piero 3 1994 Localization of eigenvalues for non-self-adjoint Dirac and Klein-Gordon operators. Zbl 1476.35152 D’Ancona, P.; Fanelli, L.; Krejčiřík, D.; Schiavone, N. M. 3 2022 Generalized Hardy operators. Zbl 1504.35012 Bui, The Anh; D’Ancona, Piero 3 2023 Weakly hyperbolic equations in domains with boundaries. Zbl 0933.34067 D’Ancona, Piero; Racke, Reinhard 2 1998 On the continuity of the solution operator to the wave map system. Zbl 1043.35032 D’Ancona, Piero; Georgiev, Vladimir 2 2004 Sufficient conditions for the local solvability of some quasilinear equations of weakly hyperbolic type. Zbl 0816.35085 D’Ancona, Piero; Manfrin, Renato 2 1994 Smoothing and dispersive properties of evolution equations with potential perturbations. Zbl 1178.35094 D’Ancona, Piero 2 2008 The Cauchy problem for weakly parabolic systems. Zbl 0891.35050 D’Ancona, Piero; Spagnolo, Sergio 2 1997 Global Strichartz estimates for an inhomogeneous Maxwell system. Zbl 1490.35474 D’Ancona, Piero; Schnaubelt, Roland 2 2022 Global solution of the Cauchy problem for a class of abstract nonlinear hyperbolic equations. Zbl 0683.35053 D’Ancona, Piero 1 1988 The Cauchy problem for semilinear weakly hyperbolic equations in Hilbert spaces. Zbl 0836.34064 D’Ancona, Piero 1 1994 Low regularity solutions of the Maxwell-Dirac system. Zbl 1187.35192 D’Ancona, Piero; Foschi, Damiano; Selberg, Sigmund 1 2009 New trends in the theory of nonlinear weakly hyperbolic equations of second order. Zbl 0890.35076 D’Ancona, Piero; Reissig, Michael 1 1997 An abstract degenerate hyperbolic equation with application to mixed problems. Zbl 0974.35081 D’Ancona, Piero; Di Flaviano, Mariagrazia 1 2000 Low regularity solutions for the wave map equation into the 2-D sphere. Zbl 1063.35103 d’Ancona, Piero; Georgiev, Vladimir 1 2004 Ill posedness for the 2-D wave equation. Zbl 1061.35157 D’Ancona, Piero; Georgiev, Vladimir 1 2003 Perimeter on fractal sets. Zbl 0727.28004 Braides, Andrea; D’Ancona, Piero 1 1991 Extension of CR functions to “wedge type” domains. Zbl 0741.32012 D’Agnolo, Andrea; D’Ancona, Piero; Zampieri, Giuseppe 1 1991 Periodic solutions for a second order partial differential equation. Zbl 0778.35006 D’Ancona, Piero 1 1992 The Cauchy problem in abstract Gevrey spaces for a nonlinear weakly hyperbolic equation of second order. Zbl 0808.35003 D’Ancona, Piero; Manfrin, Renato 1 1994 On the supercritical defocusing NLW outside a ball. Zbl 1476.35143 D’Ancona, Piero 1 2021 Blowup and ill-posedness results for a Dirac equation without gauge invariance. Zbl 1346.35172 Okamoto, Mamoru; D’Ancona, Piero 1 2016 Correction to: “A short proof of commutator estimates”. Zbl 1440.42103 D’Ancona, Piero 1 2020 A limiting absorption principle for the Helmholtz equation with variable coefficients. Zbl 1407.35068 Cacciafesta, Federico; D’Ancona, Piero; Lucà, Renato 1 2018 Generalized Hardy operators. Zbl 1504.35012 Bui, The Anh; D’Ancona, Piero 3 2023 Eigenvalue bounds for non-selfadjoint Dirac operators. Zbl 1504.35202 D’Ancona, Piero; Fanelli, Luca; Schiavone, Nico Michele 6 2022 Localization of eigenvalues for non-self-adjoint Dirac and Klein-Gordon operators. Zbl 1476.35152 D’Ancona, P.; Fanelli, L.; Krejčiřík, D.; Schiavone, N. M. 3 2022 Global Strichartz estimates for an inhomogeneous Maxwell system. Zbl 1490.35474 D’Ancona, Piero; Schnaubelt, Roland 2 2022 On the supercritical defocusing NLW outside a ball. Zbl 1476.35143 D’Ancona, Piero 1 2021 On large potential perturbations of the Schrödinger, wave and Klein-Gordon equations. Zbl 1428.35431 D’Ancona, Piero 8 2020 Correction to: “A short proof of commutator estimates”. Zbl 1440.42103 D’Ancona, Piero 1 2020 A short proof of commutator estimates. Zbl 1415.42016 D’Ancona, Piero 13 2019 On the flows associated to selfadjoint operators on metric measure spaces. Zbl 1430.42029 Bui, The Anh; D’Ancona, Piero; Duong, Xuan Thinh; Müller, Detlef 9 2019 Blow-up for nonlinear Maxwell equations. Zbl 1391.35075 D’Ancona, Piero; Nicaise, Serge; Schnaubelt, Roland 6 2018 A limiting absorption principle for the Helmholtz equation with variable coefficients. Zbl 1407.35068 Cacciafesta, Federico; D’Ancona, Piero; Lucà, Renato 1 2018 Weighted estimates for powers and smoothing estimates of Schrödinger operators with inverse-square potentials. Zbl 1361.35121 Bui, The Anh; D’Ancona, Piero; Duong, Xuan Thinh; Li, Ji; Ly, Fu Ken 11 2017 On the cubic Dirac equation with potential and the Lochak-Majorana condition. Zbl 1390.35297 D’Ancona, Piero; Okamoto, Mamoru 3 2017 On the regularity set and angular integrability for the Navier-Stokes equation. Zbl 1350.35143 D’Ancona, Piero; Lucà, Renato 18 2016 Sharp \(L^p\) estimates for Schrödinger groups. Zbl 1353.42009 D’ancona, Piero; Nicola, Fabio 16 2016 Scattering in the energy space for the NLS with variable coefficients. Zbl 1352.35158 Cassano, Biagio; D’Ancona, Piero 7 2016 Global existence of small equivariant wave maps on rotationally symmetric manifolds. Zbl 1338.58019 D’Ancona, Piero; Zhang, Qidi 5 2016 Helmholtz and dispersive equations with variable coefficients on exterior domains. Zbl 1338.35143 Cacciafesta, Federico; D’Ancona, Piero; Lucà, Renato 5 2016 Blowup and ill-posedness results for a Dirac equation without gauge invariance. Zbl 1346.35172 Okamoto, Mamoru; D’Ancona, Piero 1 2016 Kato smoothing and Strichartz estimates for wave equations with magnetic potentials. Zbl 1311.35166 D’Ancona, Piero 24 2015 On the radius of spatial analyticity for semilinear symmetric hyperbolic systems. Zbl 1286.35155 Cappiello, Marco; D’Ancona, Piero; Nicola, Fabio 8 2014 Endpoint estimates and global existence for the nonlinear Dirac equation with potential. Zbl 1260.35159 Cacciafesta, Federico; D’Ancona, Piero 31 2013 Stein-Weiss and Caffarelli-Kohn-Nirenberg inequalities with angular integrability. Zbl 1234.26043 D’Ancona, Piero; Luca, Renato 25 2012 Weighted \(L^p\) estimates for powers of selfadjoint operators. Zbl 1245.42010 Cacciafesta, Federico; D’Ancona, Piero 20 2012 Atlas of products for wave-Sobolev spaces on \(\mathbb{R}^{1+3}\). Zbl 1255.35016 D’ancona, Piero; Foschi, Damiano; Selberg, Sigmund 18 2012 Evolution equations on non-flat waveguides. Zbl 1256.35160 D’Ancona, Piero; Racke, Reinhard 8 2012 Dispersive estimate for the 1D Schrödinger equation with a steplike potential. Zbl 1232.35037 D’Ancona, Piero; Selberg, Sigmund 4 2012 Virial identity and weak dispersion for the magnetic Dirac equation. Zbl 1213.35149 Boussaid, Nabile; D’Ancona, Piero; Fanelli, Luca 17 2011 Global well-posedness of the Maxwell-Dirac system in two space dimensions. Zbl 1216.35149 D’Ancona, Piero; Selberg, Sigmund 12 2011 Endpoint Strichartz estimates for the magnetic Schrödinger equation. Zbl 1188.81061 D’Ancona, Piero; Fanelli, Luca; Vega, Luis; Visciglia, Nicola 48 2010 Product estimates for wave-Sobolev spaces in \(2+1\) and \(1+1\) dimensions. Zbl 1222.35006 D’Ancona, Piero; Foschi, Damiano; Selberg, Sigmund 20 2010 Null structure and almost optimal local well-posedness of the Maxwell-Dirac system. Zbl 1196.35177 D’Ancona, Piero; Foschi, Damiano; Selberg, Sigmund 20 2010 On the wave equation associated to the Hermite and the twisted Laplacian. Zbl 1191.35076 D’Ancona, Piero; Pierfelice, Vittoria; Ricci, Fulvio 7 2010 Smoothing estimates for the Schrödinger equation with unbounded potentials. Zbl 1173.35031 D’Ancona, Piero; Fanelli, Luca 7 2009 Low regularity solutions of the Maxwell-Dirac system. Zbl 1187.35192 D’Ancona, Piero; Foschi, Damiano; Selberg, Sigmund 1 2009 Strichartz and smoothing estimates for dispersive equations with magnetic potentials. Zbl 1160.35363 D’Ancona, Piero; Fanelli, Luca 71 2008 On the 2 by 2 weakly hyperbolic systems. Zbl 1177.35132 D’Ancona, Piero; Kinoshita, Tamotu; Spagnolo, Sergio 7 2008 Smoothing and dispersive properties of evolution equations with potential perturbations. Zbl 1178.35094 D’Ancona, Piero 2 2008 Null structure and almost optimal local regularity for the Dirac-Klein-Gordon system. Zbl 1187.35191 D’Ancona, Piero; Foschi, Damiano; Selberg, Sigmund 44 2007 Decay estimates for the wave and Dirac equations with a magnetic potential. Zbl 1154.35087 D’Ancona, Piero; Fanelli, Luca 33 2007 Local well-posedness below the charge norm for the Dirac-Klein-Gordon system in two space dimensions. Zbl 1129.35066 D’Ancona, Piero; Foschi, Damiano; Selberg, Sigmund 20 2007 \(L^p\)-boundedness of the wave operator for the one dimensional Schrödinger operator. Zbl 1127.35053 D’Ancona, Piero; Fanelli, Luca 34 2006 Dispersive estimate for the Schrödinger equation with point interactions. Zbl 1095.35038 D’Ancona, Piero; Pierfelice, Vittoria; Teta, Alessandro 10 2006 On the wave equation with a large rough potential. Zbl 1087.35058 D’Ancona, Piero; Pierfelice, Vittoria 40 2005 Some remarks on the Schrödinger equation with a potential in \(L^r_t L^s_x\). Zbl 1082.35038 D’Ancona, Piero; Pierfelice, Vittoria; Visciglia, Nicola 14 2005 On the well-posedness of the Cauchy problem for weakly hyperbolic equations of higher order. Zbl 1078.35065 D’Ancona, Piero; Kinoshita, Tamotu 11 2005 Wave maps and ill-posedness of their Cauchy problem. Zbl 1130.35087 D’Ancona, Piero; Georgiev, Vladimir 3 2005 Weakly hyperbolic systems with Hölder continuous coefficients. Zbl 1068.35065 D’Ancona, Piero; Kinoshita, Tamotu; Spagnolo, Sergio 9 2004 On the continuity of the solution operator to the wave map system. Zbl 1043.35032 D’Ancona, Piero; Georgiev, Vladimir 2 2004 Low regularity solutions for the wave map equation into the 2-D sphere. Zbl 1063.35103 d’Ancona, Piero; Georgiev, Vladimir 1 2004 Ill posedness for the 2-D wave equation. Zbl 1061.35157 D’Ancona, Piero; Georgiev, Vladimir 1 2003 Weighted decay estimates for the wave equation. Zbl 0995.35011 D’Ancona, Piero; Georgiev, Vladimir; Kubo, Hideo 18 2001 Global existence with large data for a nonlinear weakly hyperbolic equation. Zbl 0994.35093 D’Ancona, Piero; Di Giuseppe, Alessandra 10 2001 A remark on uniformly symmetrizable systems. Zbl 1195.35203 D’Ancona, Piero; Spagnolo, Sergio 5 2001 On the local solvability for a nonlinear weakly hyperbolic equation with analytic coefficients. Zbl 0988.35116 D’Ancona, Piero; Trebeschi, Paola 4 2001 An abstract degenerate hyperbolic equation with application to mixed problems. Zbl 0974.35081 D’Ancona, Piero; Di Flaviano, Mariagrazia 1 2000 Quasi-symmetrization of hyperbolic systems and propagation of the analytic regularity. Zbl 0916.35063 D’Ancona, Piero; Spagnolo, Sergio 26 1998 Weakly hyperbolic equations in domains with boundaries. Zbl 0933.34067 D’Ancona, Piero; Racke, Reinhard 2 1998 On pseudosymmetric hyperbolic systems. Zbl 1014.35055 D’Ancona, Piero; Spagnolo, Sergio 6 1997 The Cauchy problem for weakly parabolic systems. Zbl 0891.35050 D’Ancona, Piero; Spagnolo, Sergio 2 1997 New trends in the theory of nonlinear weakly hyperbolic equations of second order. Zbl 0890.35076 D’Ancona, Piero; Reissig, Michael 1 1997 Kirchhoff type equations depending on a small parameter. Zbl 0837.35092 D’Ancona, Piero; Spagnolo, Sergio 17 1995 A note on a theorem of Jörgens. Zbl 0816.35086 D’Ancona, Piero 15 1995 A class of locally solvable semilinear equations of weakly hyperbolic type. Zbl 0849.35076 D’Ancona, Piero; Manfrin, Renato 5 1995 Small analytic solutions to nonlinear weakly hyperbolic systems. Zbl 0858.35079 D’Ancona, Piero; Spagnolo, Sergio 4 1995 Nonlinear perturbations of the Kirchhoff equation. Zbl 0807.35093 D’Ancona, Piero; Spagnolo, Sergio 46 1994 On global solvability of nonlinear viscoelastic equations in the analytic category. Zbl 0803.35091 D’Ancona, Piero; Shibata, Yoshihiro 28 1994 Gamma-convergence and the least squares method. Zbl 0813.49015 Ambrosio, L.; D’Ancona, P.; Mortola, S. 5 1994 On a semilinear weakly hyperbolic equation with logarithmic nonlinearity. Zbl 0817.35058 D’Ancona, Piero 3 1994 Well posedness in \(C^ \infty\) for a weakly hyperbolic second order equation. Zbl 0820.35097 D’Ancona, Piero 3 1994 Sufficient conditions for the local solvability of some quasilinear equations of weakly hyperbolic type. Zbl 0816.35085 D’Ancona, Piero; Manfrin, Renato 2 1994 The Cauchy problem for semilinear weakly hyperbolic equations in Hilbert spaces. Zbl 0836.34064 D’Ancona, Piero 1 1994 The Cauchy problem in abstract Gevrey spaces for a nonlinear weakly hyperbolic equation of second order. Zbl 0808.35003 D’Ancona, Piero; Manfrin, Renato 1 1994 A class of nonlinear hyperbolic problems with global solutions. Zbl 0826.35072 D’Ancona, Piero; Spagnolo, Sergio 30 1993 Local existence for semilinear weakly hyperbolic equations with time dependent coefficients. Zbl 0830.35089 D’Ancona, Piero 9 1993 Global solvability for the degenerate Kirchhoff equation with real analytic data. Zbl 0785.35067 D’Ancona, Piero; Spagnolo, Sergio 291 1992 On an abstract weakly hyperbolic equation modelling the nonlinear vibrating string. Zbl 0898.35103 D’Ancona, Piero; Spagnolo, Sergio 14 1992 Periodic solutions for a second order partial differential equation. Zbl 0778.35006 D’Ancona, Piero 1 1992 On the life span of the analytic solutions to quasilinear weakly hyperbolic equations. Zbl 0729.35012 D’Ancona, Piero; Spagnolo, Sergio 6 1991 Perimeter on fractal sets. Zbl 0727.28004 Braides, Andrea; D’Ancona, Piero 1 1991 Extension of CR functions to “wedge type” domains. Zbl 0741.32012 D’Agnolo, Andrea; D’Ancona, Piero; Zampieri, Giuseppe 1 1991 Gevrey well-posedness of an abstract Cauchy problem of weakly hyperbolic type. Zbl 0706.35077 D’Ancona, Piero 9 1988 Global solution of the Cauchy problem for a class of abstract nonlinear hyperbolic equations. Zbl 0683.35053 D’Ancona, Piero 1 1988 all cited Publications top 5 cited Publications all top 5 Cited by 886 Authors 39 D’Ancona, Piero 19 The Anh Bui 18 Fanelli, Luca 17 Ruzhansky, Michael V. 17 Zhang, Binlin 16 Duong, Xuan Thinh 15 Pecher, Hartmut 15 Spagnolo, Sergio 15 Tesfahun, Achenef 13 Green, William R. 13 Selberg, Sigmund 12 Pucci, Patrizia 12 Tang, Xianhua 11 Goldberg, Michael Joseph 11 Mizutani, Haruya 11 Rădulescu, Vicenţiu D. 11 Yan, Lixin 10 Cacciafesta, Federico 10 Dai, Guowei 10 Erdoğan, Mehmet Burak 10 Garetto, Claudia 10 Yagdjian, Karen 9 Chen, Peng 9 Georgiev, Vladimir S. 9 Ghisi, Marina 9 He, Xiaoming 9 Matsuyama, Tokio 9 Seo, Ihyeok 9 Taglialatela, Giovanni 9 Ye, Hongyu 9 Zhang, Junyong 8 Cheng, Bitao 8 Li, Gongbao 8 Liu, Ronghui 8 Manfrin, Renato 8 Xiang, Mingqi 7 Herr, Sebastian 7 Kinoshita, Tamotu 7 Kopylova, Elena A. 7 Liang, Sihua 7 Liu, Feng 7 Nicola, Fabio 7 Scandone, Raffaele 7 Wu, Tsungfang 7 Wu, Xian 7 Zheng, Jiqiang 7 Zou, Wenming 6 Li, Ji 6 Luca, Renato 6 Michelangeli, Alessandro 6 Visciglia, Nicola 6 Wang, Li 6 Yang, Zhijian 5 Ben-Artzi, Matania 5 Candy, Timothy 5 Gobbino, Massimo 5 Han, Yuzhu 5 Huh, Hyungjin 5 Ikeda, Masahiro 5 Kajitani, Kunihiko 5 Komech, Alexander Ilich 5 Krejčiřík, David 5 Mao, Anmin 5 Molica Bisci, Giovanni 5 Schnaubelt, Roland 5 Sun, Juntao 5 Tang, Chun-Lei 5 Vega, Luis 5 Wu, Huoxiong 5 Zheng, Shijun 4 Beceanu, Marius 4 Cassano, Biagio 4 Chen, Haibo 4 Chen, Sitong 4 Cho, Yonggeun 4 Cordero, Elena 4 D’Abbicco, Marcello 4 Galstian, Anahit 4 Garcia, Andoni 4 Hu, Die 4 Ly, Fu Ken 4 Oh, Sung-Jin 4 Okamoto, Mamoru 4 Ozawa, Tohru 4 Papadopoulos, Perikles G. 4 Shen, Zupei 4 Shuai, Wei 4 Vodev, Georgi 4 Wang, Ming 4 Yang, Dachun 4 Yao, Xiaohua 4 Yuan, Jianjun 4 Yuzawa, Yasuo 4 Zhang, Zhitao 3 Arrizabalaga, Naiara 3 Ascanelli, Alessia 3 Autuori, Giuseppina 3 Baldi, Pietro 3 Bejenaru, Ioan 3 Bisconti, Luca ...and 786 more Authors all top 5 Cited in 189 Serials 73 Journal of Differential Equations 53 Journal of Mathematical Analysis and Applications 34 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 28 Journal of Functional Analysis 27 Journal of Mathematical Physics 23 Communications in Partial Differential Equations 20 Discrete and Continuous Dynamical Systems 19 Advances in Mathematics 19 Communications on Pure and Applied Analysis 15 Applicable Analysis 15 NoDEA. Nonlinear Differential Equations and Applications 14 Mathematische Annalen 14 Transactions of the American Mathematical Society 13 Communications in Mathematical Physics 13 Proceedings of the American Mathematical Society 12 Mathematical Methods in the Applied Sciences 11 Calculus of Variations and Partial Differential Equations 11 Journal of Evolution Equations 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 Annali di Matematica Pura ed Applicata. Serie Quarta 9 Journal de Mathématiques Pures et Appliquées. Neuvième Série 9 Communications in Contemporary Mathematics 9 Journal of Hyperbolic Differential Equations 8 Archive for Rational Mechanics and Analysis 8 Computers & Mathematics with Applications 8 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 8 Journal of the Mathematical Society of Japan 8 Annales Henri Poincaré 8 Nonlinear Analysis. Real World Applications 8 Complex Variables and Elliptic Equations 8 Advances in Nonlinear Analysis 7 Nonlinearity 7 Rendiconti del Seminario Matematico della Università di Padova 7 Applied Mathematics Letters 7 SIAM Journal on Mathematical Analysis 6 Journal d’Analyse Mathématique 6 Applied Mathematics and Optimization 6 Mathematische Nachrichten 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Acta Mathematica Scientia. Series B. (English Edition) 6 Boundary Value Problems 6 Analysis and Mathematical Physics 6 Nonlinear Analysis. Theory, Methods & Applications 5 The Journal of Geometric Analysis 5 The Journal of Fourier Analysis and Applications 5 Analysis in Theory and Applications 5 Discrete and Continuous Dynamical Systems. Series S 5 Analysis & PDE 5 Journal of Function Spaces 4 Manuscripta Mathematica 4 Mathematische Zeitschrift 4 Memoirs of the American Mathematical Society 4 Osaka Journal of Mathematics 4 Abstract and Applied Analysis 4 Journal of the European Mathematical Society (JEMS) 4 Advanced Nonlinear Studies 4 Mediterranean Journal of Mathematics 4 Forum of Mathematics, Sigma 4 SN Partial Differential Equations and Applications 3 Reviews in Mathematical Physics 3 Results in Mathematics 3 Bulletin of the Korean Mathematical Society 3 Revista Matemática Iberoamericana 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Journal of Dynamics and Differential Equations 3 Advances in Differential Equations 3 Journal of Inequalities and Applications 3 Journal of Mathematical Fluid Mechanics 3 Acta Mathematica Sinica. English Series 3 Communications in Nonlinear Science and Numerical Simulation 3 Discrete and Continuous Dynamical Systems. Series B 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 3 Pure and Applied Analysis 2 Mathematics of Computation 2 Applied Mathematics and Computation 2 Indiana University Mathematics Journal 2 Journal of Computational and Applied Mathematics 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Tokyo Journal of Mathematics 2 Acta Applicandae Mathematicae 2 Applied Numerical Mathematics 2 Asymptotic Analysis 2 Forum Mathematicum 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Electronic Journal of Differential Equations (EJDE) 2 Bulletin des Sciences Mathématiques 2 Mathematical Inequalities & Applications 2 Portugaliae Mathematica. Nova Série 2 Acta Mathematica Scientia. Series A. (Chinese Edition) 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Advances in Difference Equations 2 Journal of Fixed Point Theory and Applications 2 Science China. Mathematics 2 Journal of Pseudo-Differential Operators and Applications 2 Kyoto Journal of Mathematics 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Journal of Spectral Theory 2 Evolution Equations and Control Theory ...and 89 more Serials all top 5 Cited in 43 Fields 798 Partial differential equations (35-XX) 107 Operator theory (47-XX) 90 Harmonic analysis on Euclidean spaces (42-XX) 89 Quantum theory (81-XX) 46 Functional analysis (46-XX) 37 Global analysis, analysis on manifolds (58-XX) 24 Mechanics of deformable solids (74-XX) 20 Fluid mechanics (76-XX) 17 Dynamical systems and ergodic theory (37-XX) 16 Ordinary differential equations (34-XX) 16 Integral equations (45-XX) 16 Optics, electromagnetic theory (78-XX) 14 Real functions (26-XX) 13 Numerical analysis (65-XX) 12 Relativity and gravitational theory (83-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 8 Topological groups, Lie groups (22-XX) 8 Mechanics of particles and systems (70-XX) 7 Functions of a complex variable (30-XX) 7 Abstract harmonic analysis (43-XX) 7 Differential geometry (53-XX) 4 Potential theory (31-XX) 4 Difference and functional equations (39-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Number theory (11-XX) 2 Measure and integration (28-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 2 Probability theory and stochastic processes (60-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Astronomy and astrophysics (85-XX) 2 Geophysics (86-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Special functions (33-XX) 1 Convex and discrete geometry (52-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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