## Applied Mathematics and Optimization

### An International Journal

 Short Title: Appl. Math. Optim. Publisher: Springer US, New York, NY ISSN: 0095-4616; 1432-0606/e Online: http://link.springer.com/journal/volumesAndIssues/245 Comments: Indexed cover-to-cover
 Documents Indexed: 1,732 Publications (since 1974) References Indexed: 1,376 Publications with 34,009 References.
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### Latest Issues

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### Authors

 25 Lasiecka, Irena 23 Triggiani, Roberto 18 Kallianpur, Gopinath 15 Barbu, Viorel 15 Bensoussan, Alain 14 Balakrishnan, Alampallam Venkatachalaiyer 14 Kunisch, Karl 12 Papageorgiou, Nikolaos S. 12 Stettner, Łukasz 10 Borkar, Vivek Shripad 10 Frankowska, Hélène 10 Yong, Jiongmin 9 Colli, Pierluigi 9 Elliott, Robert James 9 Krylov, Nicolaĭ Vladimirovich 9 Rădulescu, Vicenţiu D. 9 Xiong, Jie 8 Cardaliaguet, Pierre 8 Cavazos-Cadena, Rolando 8 Day, Martin V. 8 Fleming, Wendell Helms 8 Malanowski, Kazimierz D. 8 Menaldi, Jose-Luis 8 Sprekels, Jürgen 7 Barron, Emmanuel Nicholas 7 Bonnans, Joseph Frédéric 7 Buckdahn, Rainer 7 Casas, Eduardo 7 Dufour, François 7 Duncan, Tyrone E. 7 Leizarowitz, Arie 7 McEneaney, William “Mac” M. 7 Pandolfi, Luciano 7 Temam, Roger Meyer 7 Tessitore, Gianmario 6 Chavent, Guy 6 Da Prato, Giuseppe 6 Hernández-Lerma, Onésimo 6 Hu, Yaozhong 6 Ito, Kazufumi 6 Karatzas, Ioannis 6 Kushner, Harold J. 6 Lenhart, Suzanne M. 6 Maslowski, Bohdan 6 Øksendal, Bernt Karsten 6 Pasik-Duncan, Bozenna 6 Polak, Elijah (Lucien) 6 Quincampoix, Marc 6 Raymond, Jean-Pierre 6 Sokołowski, Jan 5 Ankirchner, Stefan 5 Biswas, Anup 5 Cavalcanti, Marcelo Moreira 5 Cimatti, Giovanni 5 Colonius, Fritz 5 Djehiche, Boualem 5 Domingos Cavalcanti, Valéria Neves 5 Fattorini, Hector O. 5 Fernández, Jose Ramon 5 Goberna, Miguel Angel 5 Goreac, Dan 5 James, Matthew R. 5 Krabs, Werner 5 Kumar, K. Suresh 5 Leugering, Günter 5 Migórski, Stanisław 5 Miranville, Alain M. 5 Muñoz Rivera, Jaime Edilberto 5 Nagai, Hideo 5 Seidman, Thomas I. 5 Yao, Jen-Chih 5 Zeng, Biao 5 Zhang, Jianzhong 5 Zhang, Qing 5 Zolésio, Jean-Paul 4 Auchmuty, Giles 4 Avdonin, Sergeĭ Anatol’evich 4 Bagchi, Arunabha 4 Bayraktar, Erhan 4 Bettiol, Piernicola 4 Biagini, Francesca 4 Caraballo Garrido, Tomás 4 Chueshov, Igor’ Dmitrievich 4 Costa, Oswaldo Luiz V. 4 Debussche, Arnaud 4 Delarue, François 4 Dell’Oro, Filippo 4 Ferrari, Giorgio 4 Gaitsgory, Vladimir A. 4 Ghosh, Mrinal Kanti 4 Gomes, Diogo Luís Aguiar 4 Gyöngy, István 4 Hamadene, Saïd 4 Hernández-Hernández, Daniel 4 Hu, Ying 4 Huang, Jianhui 4 Karandikar, Rajeeva Laxman 4 Kim, Jong Uhn 4 Kukavica, Igor 4 Liu, Chein-Shan ...and 1,956 more Authors
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### Fields

 732 Calculus of variations and optimal control; optimization (49-XX) 609 Partial differential equations (35-XX) 537 Systems theory; control (93-XX) 427 Probability theory and stochastic processes (60-XX) 291 Operations research, mathematical programming (90-XX) 230 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 200 Numerical analysis (65-XX) 135 Mechanics of deformable solids (74-XX) 103 Fluid mechanics (76-XX) 101 Operator theory (47-XX) 91 Ordinary differential equations (34-XX) 52 Biology and other natural sciences (92-XX) 39 Functional analysis (46-XX) 38 Dynamical systems and ergodic theory (37-XX) 34 Statistics (62-XX) 28 Real functions (26-XX) 26 Global analysis, analysis on manifolds (58-XX) 24 Integral equations (45-XX) 20 Classical thermodynamics, heat transfer (80-XX) 18 Computer science (68-XX) 17 Information and communication theory, circuits (94-XX) 12 Convex and discrete geometry (52-XX) 12 Quantum theory (81-XX) 11 Optics, electromagnetic theory (78-XX) 10 Measure and integration (28-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Approximations and expansions (41-XX) 8 Potential theory (31-XX) 7 Mechanics of particles and systems (70-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 General and overarching topics; collections (00-XX) 5 Differential geometry (53-XX) 4 Functions of a complex variable (30-XX) 4 General topology (54-XX) 4 Geophysics (86-XX) 3 Difference and functional equations (39-XX) 2 History and biography (01-XX) 2 Geometry (51-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX)

### Citations contained in zbMATH Open

1,365 Publications have been cited 16,030 times in 12,825 Documents Cited by Year
A strong maximum principle for some quasilinear elliptic equations. Zbl 0561.35003
Vázquez, J. L.
1984
Continuous-time mean-variance portfolio selection: a stochastic LQ framework. Zbl 0998.91023
Zhou, X. Y.; Li, D.
2000
Regularity and stability for the mathematical programming problem in Banach spaces. Zbl 0401.90104
Zowe, J.; Kurcyusz, S.
1979
New conjugacy conditions and related nonlinear conjugate gradient methods. Zbl 0973.65050
Dai, Y.-H.; Liao, L.-Z.
2001
Backward stochastic differential equations and applications to optimal control. Zbl 0769.60054
Peng, Shige
1993
Generalized Hessian matrix and second-order optimality conditions for problems with $$C^{1,1}$$ data. Zbl 0542.49011
Hiriart-Urruty, Jean-Baptiste; Strodiot, Jean-Jacques; Nguyen, V. Hien
1984
A class of projection and contraction methods for monotone variational inequalities. Zbl 0865.90119
He, Bingsheng
1997
A maximum principle for SDEs of mean-field type. Zbl 1215.49034
2011
On the pricing of American options. Zbl 0699.90010
Karatzas, Ioannis
1988
Semilinear equations in $${\mathbb{R}}^ N$$ without condition at infinity. Zbl 0562.35035
Brézis, Haïm
1984
The internal model principle for linear multivariable regulators. Zbl 0351.93015
Francis, B. A.; Wonham, W. M.
1975
Metric regularity, tangent sets, and second-order optimality conditions. Zbl 0692.49018
Cominetti, Roberto
1990
A general stochastic maximum principle for SDEs of mean-field type. Zbl 1245.49036
Buckdahn, Rainer; Djehiche, Boualem; Li, Juan
2011
Convexity and weighted integral inequalities for energy decay rates of nonlinear dissipative hyperbolic systems. Zbl 1107.35077
Alabau-Boussouira, Fatiha
2005
Uniform stabilization of the wave equation with Dirichlet or Neumann feedback control without geometrical conditions. Zbl 0780.93082
Lasiecka, I.; Triggiani, R.
1992
Exponentially stable stationary solutions for stochastic evolution equations and their perturbation. Zbl 1066.60058
Caraballo, Tomás; Kloeden, Peter E.; Schmalfuß, Björn
2004
A spectral conjugate gradient method for unconstrained optimization. Zbl 0990.90134
Birgin, E. G.; Martínez, J. M.
2001
Risk-sensitive dynamic asset management. Zbl 0984.91047
Bielecki, T. R.; Pliska, S. R.
1999
Stochastic 2D hydrodynamical type systems: well posedness and large deviations. Zbl 1196.49019
Chueshov, Igor; Millet, Annie
2010
Wiener’s criterion and $$\Gamma$$-convergence. Zbl 0644.35033
Dal Maso, Gianni; Mosco, Umberto
1987
Partial inverse of a monotone operator. Zbl 0524.90072
Spingarn, Jonathan E.
1983
Hamilton-Jacobi equations and distance functions on Riemannian manifolds. Zbl 1048.49021
Mantegazza, Carlo; Mennucci, Andrea Carlo
2002
Dual spaces of stresses and strains, with applications to Hencky plasticity. Zbl 0532.73039
Kohn, Robert V.; Temam, Roger
1983
Hilbertian convex feasibility problem: Convergence of projection methods. Zbl 0872.90069
Combettes, P. L.
1997
Hölder continuity of solutions to a parametric variational inequality. Zbl 0821.49011
Nguyen Dong Yen
1995
Feedback stabilization of distributed semilinear control systems. Zbl 0405.93030
Ball, J. M.; Slemrod, M.
1979
Unified theory for abstract parabolic boundary problems - a semigroup approach. Zbl 0448.47019
Lasiecka, Irena
1980
Exact controllability of semilinear abstract systems with application to waves and plates boundary control problems. Zbl 0729.93023
Lasiecka, I.; Triggiani, R.
1991
Exact controllability of the wave equation with Neumann boundary control. Zbl 0666.49012
Lasiecka, I.; Triggiani, R.
1989
Convergence of approximations vs. regularity of solutions for convex, control-constrained optimal-control problems. Zbl 0479.49017
Malanowski, Kazimierz
1982
Heat equations with fractional white noise potentials. Zbl 0993.60065
Hu, Y.
2001
Exit probabilities and optimal stochastic control. Zbl 0398.93068
Fleming, Wendell H.
1978
Application de la méthode des éléments finis à l’approximation d’un problème de domaine optimal. Méthodes de résolution des problèmes approches. Zbl 0323.90063
Begis, D.; Glowinski, R.
1975
Exact controllability of the superlinear heat equation. Zbl 0964.93046
Barbu, V.
2000
The transition between the Stokes equations and the Reynolds equation: A mathematical proof. Zbl 0701.76039
1986
A cosine operator approach to modeling $$L_ 2($$0,T;$$L_ 2($$Gammma))- boundary input hyperbolic equations. Zbl 0473.35022
Lasiecka, I.; Triggiani, R.
1981
Shape optimization for Dirichlet problems: Relaxed formulation and optimality conditions. Zbl 0762.49017
Buttazzo, Giuseppe; Dal Maso, Gianni
1991
Hamiltonian Pontryagin’s principles for control problems governed by semilinear parabolic equations. Zbl 0922.49013
Raymond, J. P.; Zidani, H.
1999
Stochastic 2-D Navier-Stokes equation. Zbl 1016.35072
Menaldi, Jose-Luis; Sritharan, Sivaguru S.
2002
Local analysis of Newton-type methods for variational inequalities and nonlinear programming. Zbl 0809.90115
Bonnans, J. Frédéric
1994
Approximation of the viability kernel. Zbl 0790.65081
Saint-Pierre, Patrick
1994
On a discrete approximation of the Hamilton-Jacobi equation of dynamic programming. Zbl 0582.49019
Capuo Dolcetta, I.
1983
Boundary feedback stabilizability of parabolic equations. Zbl 0434.35016
Triggiani, Roberto
1980
Generalized semicontinuity and existence theorems for cone saddle points. Zbl 0894.90132
Tanaka, Tamaki
1997
A study in the BV space of a denoising-deblurring variational problem. Zbl 1003.35009
Vese, L.
2001
Qualitative phenomena for some classes of quasilinear elliptic equations with multiple resonance. Zbl 1304.35077
Papageorgiou, Nikolaos S.; Rădulescu, Vicenţiu D.
2014
Homogenization of elliptic eigenvalue problems. I. Zbl 0415.35061
Kesavan, Srinivasan
1979
A numerical approach to the infinite horizon problem of deterministic control theory. Zbl 0715.49023
Falcone, M.
1987
Nouvelles méthodes en contrôle impulsionnel. Zbl 0339.93033
Bensoussan, A.; Lions, J. L.
1975
Optimal harvesting-coefficient control of steady-state prey-predator diffusive Volterra-Lotka systems. Zbl 0820.49011
Leung, A. W.
1995
Optimal stopping, free boundary, and American option in a jump-diffusion model. Zbl 0866.60038
Pham, Huyên
1997
Carleman estimates with no lower-order terms for general Riemann wave equations. Global uniqueness and observability in one shot. Zbl 1030.35018
Triggiani, Roberto; Yao, P. F.
2002
The controllability of the Gurtin-Pipkin equation: a cosine operator approach. Zbl 1105.74025
Pandolfi, Luciano
2005
Optimal portfolio for a small investor in a market model with discontinuous prices. Zbl 0715.90014
Jeanblanc-Picqué, Monique; Pontier, Monique
1990
Approximate solutions of the Bellman equation of deterministic control theory. Zbl 0553.49024
Capuzzo Dolcetta, I.; Ishii, H.
1984
Regularity of hyperbolic equations under $$L^ 2(0,T;L_ 2(\Gamma))$$- Dirichlet boundary terms. Zbl 0526.35049
Lasiecka, I.; Triggiani, R.
1983
A new trust region algorithm for bound constrained minimization. Zbl 0821.90101
Friedlander, A.; Martínez, J. M.; Santos, S. A.
1994
Exact boundary controllability on $$L_ 2(\Omega)\times H^{-1}(\Omega)$$ of the wave equation with Dirichlet boundary control acting on a portion of the boundary $$\partial \Omega$$, and related problems. Zbl 0656.93011
Triggiani, R.
1988
Optimality conditions in differentiable vector optimization via second-order tangent sets. Zbl 1138.90472
Jiménez, Bienvenido; Novo, Vicente
2004
Continuous time finite state mean field games. Zbl 1283.91016
Gomes, Diogo A.; Mohr, Joana; Souza, Rafael Rigão
2013
Convex programming, variational inequalities, and applications to the traffic equilibrium problem. Zbl 0632.90055
Maugeri, Antonio
1987
Reverse convex programming. Zbl 0448.90044
Hillestad, Richard J.; Jacobsen, Stephen E.
1980
Large deviations for stochastic evolution equations with small multiplicative noise. Zbl 1387.60052
Liu, Wei
2010
Infinite horizon autonomous systems with unbounded cost. Zbl 0591.93039
Leizarowitz, A.
1985
A projection and contraction method for a class of linear complementarity problems and its application in convex quadratic programming. Zbl 0767.90086
He, Bingsheng
1992
Some $$L^ 1$$ existence and dependence results for semilinear elliptic equations under nonlinear boundary conditions. Zbl 0652.35043
Benilan, Philippe; Crandall, Michael G.; Sacks, Paul
1988
A boundary control problem for the viscous Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1338.35227
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2016
Smooth solutions to optimal investment models with stochastic volatilities and portfolio constraints. Zbl 1014.91038
Pham, Huyên
2002
A regularization Newton method for solving nonlinear complementarity problems. Zbl 0937.90110
Sun, D.
1999
Carleman estimates and controllability of linear stochastic heat equations. Zbl 1087.93011
Barbu, Viorel; Răşcanu, Aurel; Tessitore, Gianmario
2003
Optimal control of elliptic variational inequalities. Zbl 0960.49003
Ito, K.; Kunisch, K.
2000
Optimal control for the convective Cahn-Hilliard equation in 2D case. Zbl 1298.49013
Zhao, Xiaopeng; Liu, Changchun
2014
Existence and ergodicity for the two-dimensional stochastic magneto-hydrodynamics equations. Zbl 1187.76727
Barbu, Viorel; Da Prato, Giuseppe
2007
Hölder continuity and optimal control for nonsmooth elliptic problems. Zbl 1179.49041
Haller-Dintelmann, R.; Meyer, C.; Rehberg, J.; Schiela, A.
2009
Second-order analysis for control constrained optimal control problems of semilinear elliptic systems. Zbl 0917.49020
Bonnans, J. F.
1998
Metrically well-set minimization problems. Zbl 0762.90073
Bednarczuk, Ewa; Penot, Jean-Paul
1992
Optimal trajectories associated with a solution of the contingent Hamilton-Jacobi equation. Zbl 0672.49023
Frankowska, Halina
1989
Optimality, stability, and convergence in nonlinear control. Zbl 0821.49022
Dontchev, A. L.; Hager, W. W.; Poore, A. B.; Yang, Bing
1995
Comparison principle for Dirichlet-type Hamilton-Jacobi equations and singular perturbations of degenerated elliptic equations. Zbl 0691.49028
Barles, G.; Perthame, B.
1990
Differential stability in infinite-dimensional nonlinear programming. Zbl 0426.90072
Lempio, F.; Maurer, H.
1980
The rate of convergence of finite-difference approximations for Bellman equations with Lipschitz coefficients. Zbl 1087.65100
Krylov, Nicolai V.
2005
A general stochastic calculus approach to insider trading. Zbl 1093.60044
Biagini, Francesca; Øksendal, Bernt
2005
Stochastic differential games with asymmetric information. Zbl 1170.91308
Cardaliaguet, Pierre; Rainer, Catherine
2009
Two results on exact boundary control of parabolic equations. Zbl 0562.49003
Seidman, Thomas I.
1984
Recurrence relations for Chebyshev-type methods. Zbl 0952.47050
Ezquerro, J. A.; Hernández, M. A.
2000
Large deviations for stochastic tamed 3D Navier-Stokes equations. Zbl 1195.60093
Röckner, Michael; Zhang, Tusheng; Zhang, Xicheng
2010
Linear regularity and linear convergence of projection-based methods for solving convex feasibility problems. Zbl 06991144
Zhao, Xiaopeng; Ng, Kung Fu; Li, Chong; Yao, Jen-Chih
2018
A new approach to lineary perturbed Riccati equations arising in stochastic control. Zbl 0895.93042
Fragoso, M. D.; Costa, O. L. V.; de Souza, C. E.
1998
Singular perturbations of variational problems arising from a two-phase transition model. Zbl 0695.49003
Bouchitte, Guy
1990
Refinements of necessary optimality conditions in nondifferentiable programming. I. Zbl 0389.90088
Hiriart-Urruty, J.-B.
1979
On the solution of large, structured linear complementarity problems: the block partitioned case. Zbl 0391.90087
Cottle, Richard W.; Golub, Gene H.; Sacher, Richard S.
1978
About the stability of the inverse problem in 1-D wave equations application to the interpretation of seismic profiles. Zbl 0407.35073
Bamberger, A.; Chavent, G.; Lailly, P.
1979
Homogenization of elliptic eigenvalue problems. II. Zbl 0428.35062
Kesavan, Srinivasan
1979
Weak and strong order of convergence of a semidiscrete scheme for the stochastic nonlinear Schrödinger equation. Zbl 1109.60051
de Bouard, Anne; Debussche, Arnaud
2006
A damped Gauss-Newton method for the second-order cone complementarity problem. Zbl 1169.49031
Pan, Shaohua; Chen, Jein-Shan
2009
Asymptotic expansions for Markov processes with Lévy generators. Zbl 0713.60085
Fleming, W. H.; Soner, H. M.
1989
Thermoelastic contact with Barber’s heat exchange condition. Zbl 0807.35064
Andrews, Kevin T.; Shi, Peter; Shillor, Meir; Wright, Steve
1993
Rate of convergence of Wong-Zakai approximations for stochastic partial differential equations. Zbl 1106.60050
Gyöngy, Istvan; Shmatkov, Anton
2006
An alternating direction implicit algorithm for the solution of linear complementarity problems arising from free boundary problems. Zbl 0575.65119
Lin, Y.; Cryer, C. W.
1985
Wellposedness and decay rates for the Cauchy problem of the Moore-Gibson-Thompson equation arising in high intensity ultrasound. Zbl 1425.35120
Pellicer, M.; Said-Houari, B.
2019
Nonlocal Kirchhoff problems with singular exponential nonlinearity. Zbl 1470.35404
Mingqi, Xiang; Rădulescu, Vicenţiu D.; Zhang, Binlin
2021
Long-time dynamics and optimal control of a diffuse interface model for tumor growth. Zbl 1464.35357
Cavaterra, Cecilia; Rocca, Elisabetta; Wu, Hao
2021
Generalized penalty method for elliptic variational-hemivariational inequalities. Zbl 1461.49013
Xiao, Yi-bin; Sofonea, Mircea
2021
Optimal distributed control of a Cahn-Hilliard-Darcy system with mass sources. Zbl 1462.35147
Sprekels, Jürgen; Wu, Hao
2021
First-order shape derivative of the energy for elastic plates with rigid inclusions and interfacial cracks. Zbl 1479.35456
Rudoy, Evgeny; Shcherbakov, Viktor
2021
A uniqueness result for strong singular Kirchhoff-type fractional Laplacian problems. Zbl 1469.35002
Wang, Li; Cheng, Kun; Zhang, Binlin
2021
Analysis of continuous $$H^{-1}$$-least-squares methods for the steady Navier-Stokes system. Zbl 1464.35184
Lemoine, Jérome; Münch, Arnaud; Pedregal, Pablo
2021
Global existence and blow-up for a parabolic problem of Kirchhoff type with logarithmic nonlinearity. Zbl 1469.35122
Ding, Hang; Zhou, Jun
2021
On the stabilization of the Bresse beam with Kelvin-Voigt damping. Zbl 07371826
2021
Optimal control of a phase field system modelling tumor growth with chemotaxis and singular potentials. Zbl 07371832
Colli, Pierluigi; Signori, Andrea; Sprekels, Jürgen
2021
Weak sharpness and finite convergence for solutions of nonsmooth variational inequalities in Hilbert spaces. Zbl 1470.49024
Nguyen, Luong V.; Ansari, Qamrul Hasan; Qin, Xiaolong
2021
Perspectives on characteristics based curse-of-dimensionality-free numerical approaches for solving Hamilton-Jacobi equations. Zbl 1461.49028
Yegorov, Ivan; Dower, Peter M.
2021
Gradient weighted norm inequalities for linear elliptic equations with discontinuous coefficients. Zbl 1465.35160
2021
Computation of optimal transport and related hedging problems via penalization and neural networks. Zbl 1462.49073
Eckstein, Stephan; Kupper, Michael
2021
Large deviation principles of obstacle problems for quasilinear stochastic PDEs. Zbl 1470.60188
Matoussi, Anis; Sabbagh, Wissal; Zhang, Tusheng
2021
The time optimal control of two dimensional convective Brinkman-Forchheimer equations. Zbl 1480.49007
Mohan, Manil T.
2021
Schauder estimates for a class of potential mean field games of controls. Zbl 1468.91016
Bonnans, J. Frédéric; Hadikhanloo, Saeed; Pfeiffer, Laurent
2021
An optimal extraction problem with price impact. Zbl 1468.91105
Ferrari, Giorgio; Koch, Torben
2021
Numerical methods for finite-state mean-field games satisfying a monotonicity condition. Zbl 1460.91030
Gomes, Diogo A.; Saúde, João
2021
Approximate controllability from the exterior of space-time fractional wave equations. Zbl 1461.93036
2021
Dynamics of the nonlinear Timoshenko system with variable delay. Zbl 1462.35086
Yang, Xin-Guang; Zhang, Jing; Lu, Yongjin
2021
Constrained stochastic LQ optimal control problem with random coefficients on infinite time horizon. Zbl 1461.93550
Pu, Jiangyan; Zhang, Qi
2021
Singular limit of BSDEs and optimal control of two scale stochastic systems in infinite dimensional spaces. Zbl 1461.93543
Guatteri, Giuseppina; Tessitore, Gianmario
2021
An extension of the second order dynamical system that models Nesterov’s convex gradient method. Zbl 07408098
Alecsa, Cristian Daniel; László, Szilárd Csaba; Pinţa, Titus
2021
Existence of solutions for a class of noncoercive variational-hemivariational inequalities arising in contact problems. Zbl 1475.35160
Liu, Yongjian; Liu, Zhenhai; Wen, Ching-Feng; Yao, Jen-Chih; Zeng, Shengda
2021
Some inequalities involving perimeter and torsional rigidity. Zbl 1475.49049
Briani, Luca; Buttazzo, Giuseppe; Prinari, Francesca
2021
Learning an optimal feedback operator semiglobally stabilizing semilinear parabolic equations. Zbl 1476.49048
Kunisch, Karl; Rodrigues, Sérgio S.; Walter, Daniel
2021
Optimal regularity for a Dirichlet-conormal problem in Reifenberg flat domain. Zbl 1471.35114
Choi, Jongkeun; Dong, Hongjie; Li, Zongyuan
2021
Qualification conditions-free characterizations of the $$\varepsilon$$-subdifferential of convex integral functions. Zbl 1472.49029
Correa, Rafael; Hantoute, Abderrahim; Pérez-Aros, Pedro
2021
Risk-sensitive ergodic control of reflected diffusion processes in orthant. Zbl 1467.93336
2021
Uniform stabilization of Navier-Stokes equations in critical $$L^q$$-based Sobolev and Besov spaces by finite dimensional interior localized feedback controls. Zbl 1468.49039
Lasiecka, Irena; Priyasad, Buddhika; Triggiani, Roberto
2021
Second order linear evolution equations with general dissipation. Zbl 1469.35155
Dell&rsquo;Oro, Filippo; Pata, Vittorino
2021
Quadratically regularized optimal transport. Zbl 1468.49051
Lorenz, Dirk A.; Manns, Paul; Meyer, Christian
2021
A Du Bois-Reymond convex inclusion for nonautonomous problems of the calculus of variations and regularity of minimizers. Zbl 1468.49040
Bettiol, Piernicola; Mariconda, Carlo
2021
The stochastic viscous Cahn-Hilliard equation: well-posedness, regularity and vanishing viscosity limit. Zbl 1470.35452
Scarpa, Luca
2021
Weak closed-loop solvability of stochastic linear quadratic optimal control problems of Markovian regime switching system. Zbl 1476.93164
Wen, Jiaqiang; Li, Xun; Xiong, Jie
2021
Mean-variance portfolio selection under Volterra Heston model. Zbl 1470.91242
Han, Bingyan; Wong, Hoi Ying
2021
Initial-boundary value problems for generalized dispersive equations of higher orders posed on bounded intervals. Zbl 1462.35145
Larkin, N. A.; Luchesi, J.
2021
Reinforced limit of a MEMS model with heterogeneous dielectric properties. Zbl 1483.35253
Laurençot, Philippe; Nik, Katerina; Walker, Christoph
2021
Sliding mode control for a generalization of the Caginalp phase-field system. Zbl 1475.35182
Colli, Pierluigi; Manini, Davide
2021
Balance of the vorticity direction and the vorticity magnitude in 3D fractional Navier-Stokes equations. Zbl 1479.35637
Wang, Jiayi
2021
Lord-Shulman thermoelasticity with microtemperatures. Zbl 1475.80001
Bazarra, Noelia; Fernández, José R.; Quintanilla, Ramón
2021
A fixed-point policy-iteration-type algorithm for symmetric nonzero-sum stochastic impulse control games. Zbl 1473.49041
Zabaljauregui, Diego
2021
Barycenters in the Hellinger-Kantorovich space. Zbl 1480.49014
Chung, Nhan-Phu; Phung, Minh-Nhat
2021
Cahn-Hilliard models for glial cells. Zbl 1475.35176
Li, Lu; Miranville, Alain; Guillevin, Rémy
2021
Unique continuation properties of over-determined static Boussinesq problems with application to uniform stabilization of dynamic Boussinesq systems. Zbl 07408111
Triggiani, Roberto; Wan, Xiang
2021
On the justification of Koiter’s equations for viscoelastic shells. Zbl 07408114
Castiñeira, G.; Rodríguez-Arós, Á.
2021
Rigorous derivation of a linear sixth-order thin-film equation as a reduced model for thin fluid-thin structure interaction problems. Zbl 07408115
Bukal, Mario; Muha, Boris
2021
Convergence analysis of a Crank-Nicolson Galerkin method for an inverse source problem for parabolic equations with boundary observations. Zbl 07408116
Hào, Dinh Nho; Quyen, Tran Nhan Tam; Son, Nguyen Thanh
2021
Global solvability and optimal control to a haptotaxis cancer invasion model with two cancer cell species. Zbl 1479.35878
Dai, Feng; Liu, Bin
2021
Linear-quadratic mixed Stackelberg-Nash stochastic differential game with major-minor agents. Zbl 1471.91022
Huang, Jianhui; Si, Kehan; Wu, Zhen
2021
Backtracking gradient descent method and some applications in large scale optimisation. II: Algorithms and experiments. Zbl 07410946
Truong, Tuyen Trung; Nguyen, Hang-Tuan
2021
$$(p, q)$$-equations with singular and concave convex nonlinearities. Zbl 1479.35492
Papageorgiou, Nikolaos S.; Winkert, Patrick
2021
Correction to: “Existence results for fractional $$p(x, . )$$-Laplacian problem via the Nehari manifold approach”. Zbl 1477.35295
Azroul, E.; Benkirane, A.; Boumazourh, A.; Shimi, M.
2021
Optimal control of the principal coefficient in a scalar wave equation. Zbl 1475.49003
Clason, Christian; Kunisch, Karl; Trautmann, Philip
2021
Optimal control of the FitzHugh-Nagumo stochastic model with nonlinear diffusion. Zbl 07410962
Cordoni, Francesco; Persio, Luca Di
2021
On Fejes Tóth’s conjectured maximizer for the sum of angles between lines. Zbl 1478.90073
Lim, Tongseok; McCann, Robert J.
2021
A general stochastic maximum principle for mean-field controls with regime switching. Zbl 1475.60140
Nguyen, Son L.; Yin, George; Nguyen, Dung T.
2021
On the weak stationarity conditions for mathematical programs with cardinality constraints: a unified approach. Zbl 1478.90124
Krulikovski, Evelin H. M.; Ribeiro, Ademir A.; Sachine, Mael
2021
Navier-Stokes regularity criteria in Vishik spaces. Zbl 1477.35138
Wu, Fan
2021
Existence and non-existence of global solutions for a nonlocal Choquard-Kirchhoff diffusion equations in $$\mathbb{R}^N$$. Zbl 1476.35299
Boudjeriou, Tahir
2021
Teamwise mean field competitions. Zbl 1476.91022
Yu, Xiang; Zhang, Yuchong; Zhou, Zhou
2021
Path-dependent Hamilton-Jacobi equations: the minimax solutions revised. Zbl 1476.49032
Gomoyunov, Mikhail I.; Lukoyanov, Nikolai Yu.; Plaksin, Anton R.
2021
Large deviation principle for McKean-Vlasov quasilinear stochastic evolution equations. Zbl 1476.60103
Hong, Wei; Li, Shihu; Liu, Wei
2021
Stability results for a Timoshenko system with a fractional operator in the memory. Zbl 1469.35139
Astudillo, María; Portillo Oquendo, Higidio
2021
Existence and upper-semicontinuity of global attractors for binary mixtures solids with fractional damping. Zbl 1469.35048
Freitas, Mirelson M.; Ramos, Anderson J. A.; Santos, Mauro L.
2021
Existence theory for a time-dependent mean field games model of household wealth. Zbl 1468.49042
Ambrose, David M.
2021
Stochastic maximum principle under probability distortion. Zbl 1468.91140
Liang, Qizhu; Xiong, Jie
2021
Stochastic maximum principle under probability distortion. Zbl 1468.91141
Liang, Qizhu; Xiong, Jie
2021
An analysis of the superiorization method via the principle of concentration of measure. Zbl 07371841
Censor, Yair; Levy, Eliahu
2021
Exact controllability of the 1-d wave equation on finite metric tree graphs. Zbl 1469.35206
Avdonin, Sergei; Zhao, Yuanyuan
2021
Optimal buffer zone for the control of groundwater pollution from agricultural activities. Zbl 1470.91197
Augeraud-Véron, Emmanuelle; Choquet, Catherine; Comte, Éloïse
2021
Recursive utility processes, dynamic risk measures and quadratic backward stochastic Volterra integral equations. Zbl 1470.60144
Wang, Hanxiao; Sun, Jingrui; Yong, Jiongmin
2021
Behavior of solutions to a fourth-order nonlinear parabolic equation with logarithmic nonlinearity. Zbl 1470.35174
Zhou, Jun
2021
Robustness of attractors for non-autonomous Kirchhoff wave models with strong nonlinear damping. Zbl 1480.37083
Li, Yanan; Yang, Zhijian
2021
Optimized uniform decay estimate of the solution to Petrovsky equation with memory. Zbl 1470.35063
Li, Fushan; Zhu, Wenmin
2021
Well posedness and control in a nonlocal SIR model. Zbl 1470.35232
Colombo, Rinaldo M.; Garavello, Mauro
2021
Carleman estimates and controllability for a degenerate structured population model. Zbl 1475.35371
Fragnelli, Genni; Yamamoto, Masahiro
2021
Transport plans with domain constraints. Zbl 1470.60117
Bayraktar, Erhan; Zhang, Xin; Zhou, Zhou
2021
Continuous viscosity solutions to linear-quadratic stochastic control problems with singular terminal state constraint. Zbl 1470.93164
Horst, Ulrich; Xia, Xiaonyu
2021
Multi-point Gaussian states, quadratic-exponential cost functionals, and large deviations estimates for linear quantum stochastic systems. Zbl 1461.81064
Vladimirov, Igor G.; Petersen, Ian R.; James, Matthew R.
2021
Error estimates for numerical approximation of Hamilton-Jacobi equations related to hybrid control systems. Zbl 1461.49037
Ferretti, R.; Sassi, A.; Zidani, H.
2021
Effective filtering analysis for non-Gaussian dynamic systems. Zbl 1470.60172
Zhang, Yanjie; Qiao, Huijie; Duan, Jinqiao
2021
A diffuse interface model of a two-phase flow with thermal fluctuations. Zbl 1473.60097
2021
New stability results for a linear thermoelastic Bresse system with second sound. Zbl 1462.35064
Afilal, M.; Guesmia, A.; Soufyane, A.
2021
Vectorial variational principles in $$L^\infty$$ and their characterisation through PDE systems. Zbl 1465.35174
Ayanbayev, Birzhan; Katzourakis, Nikos
2021
Accelerating two projection methods via perturbations with application to intensity-modulated radiation therapy. Zbl 1468.65069
Bonacker, Esther; Gibali, Aviv; Küfer, Karl-Heinz
2021
Global in time and bounded solutions to a parabolic-elliptic chemotaxis system with nonlinear diffusion and signal-dependent sensitivity. Zbl 1465.35006
Viglialoro, Giuseppe
2021
Pareto fronts of the set of sustainable thresholds for constrained control systems. Zbl 1461.93289
Gajardo, Pedro; Hermosilla, Cristopher
2021
Necessary optimality conditions for optimal control problems in Wasserstein spaces. Zbl 07498406
Bonnet, Benoît; Frankowska, Hélène
2021
Optimal distributed control of two-dimensional nonlocal Cahn-Hilliard-Navier-Stokes systems with degenerate mobility and singular potential. Zbl 1440.35235
Frigeri, Sergio; Grasselli, Maurizio; Sprekels, Jürgen
2020
Probabilistic approach to finite state mean field games. Zbl 1434.60198
Cecchin, Alekos; Fischer, Markus
2020
Optimal distributed control of an extended model of tumor growth with logarithmic potential. Zbl 1448.35521
Signori, Andrea
2020
Simple algorithms for optimization on Riemannian manifolds with constraints. Zbl 1468.65072
Liu, Changshuo; Boumal, Nicolas
2020
Zero-sum stochastic differential games with risk-sensitive cost. Zbl 1480.91027
Biswas, Anup; Saha, Subhamay
2020
Equilibrium controls in time inconsistent stochastic linear quadratic problems. Zbl 1447.93379
Wang, Tianxiao
2020
On risk-sensitive piecewise deterministic Markov decision processes. Zbl 1467.90086
Guo, Xin; Zhang, Yi
2020
Parameter identification via optimal control for a Cahn-Hilliard-chemotaxis system with a variable mobility. Zbl 1446.35223
Kahle, Christian; Lam, Kei Fong
2020
Optimal control problem for the Cahn-Hilliard/Allen-Cahn equation with state constraint. Zbl 1447.49008
Zhang, Xiaoli; Li, Huilai; Liu, Changchun
2020
Optimal control and zero-sum stochastic differential game problems of mean-field type. Zbl 1443.60061
2020
...and 1265 more Documents
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### Cited by 11,624 Authors

 169 Papageorgiou, Nikolaos S. 113 Lasiecka, Irena 81 Triggiani, Roberto 45 Frankowska, Hélène 45 Kunisch, Karl 43 Zaslavski, Alexander Yakovlevich 42 Yao, Jen-Chih 40 Yong, Jiongmin 37 Noor, Muhammad Aslam 37 Wu, Zhen 36 Colli, Pierluigi 35 Rădulescu, Vicenţiu D. 33 Cavalcanti, Marcelo Moreira 32 Gasiński, Leszek 31 Tröltzsch, Fredi 30 Babaie-Kafaki, Saman 30 Li, Xun 28 Cavazos-Cadena, Rolando 27 Bayraktar, Erhan 27 Cannarsa, Piermarco 27 Goberna, Miguel Angel 26 Andrei, Neculai 26 Buttazzo, Giuseppe 26 Huang, Nan-Jing 26 Mohan, Manil Thankamani 26 Siu, Tak Kuen 26 Xiong, Jie 25 Bensoussan, Alain 25 Quincampoix, Marc 25 Sprekels, Jürgen 24 Barbu, Viorel 24 Cardaliaguet, Pierre 24 Domingos Cavalcanti, Valéria Neves 24 Gilardi, Gianni 24 López-Cerdá, Marco Antonio 24 Quintanilla de Latorre, Ramón 24 Shillor, Meir 24 Vlasov, Viktor Valentinovich 24 Zeidan, Vera Michel 23 Hintermüller, Michael 23 Liu, Wei 23 Phan Quôc Khánh 23 Sofonea, Mircea 22 Borkar, Vivek Shripad 22 Caraballo Garrido, Tomás 22 Dal Maso, Gianni 22 Ghosh, Mrinal Kanti 22 Goreac, Dan 22 Hernández-Lerma, Onésimo 22 Øksendal, Bernt Karsten 22 Pham, Huyên 22 Reich, Simeon 22 Wachsmuth, Gerd 21 Bayada, Guy 21 Gomes, Diogo Luís Aguiar 21 Huang, Zheng-Hai 21 Krylov, Nicolaĭ Vladimirovich 21 Ohya, Masanori 21 Rautian, Nadegda Aleksandrovna 21 Šimon Hilscher, Roman 21 Yang, Xiaoqi 21 Zhang, Tusheng S. 21 Zuazua, Enrique 20 Argyros, Ioannis Konstantinos 20 Casas, Eduardo 20 Elliott, Robert James 20 Ferrari, Giorgio 20 Forsyth, Peter A. 20 Fuchs, Martin 20 Guo, Xianping 20 Li, Zhongfei 20 Martínez, José Mario 20 Miranville, Alain M. 20 Motreanu, Dumitru 20 Yao, Pengfei 19 Deugoue, Gabriel 19 Han, Deren 19 Huang, Jianhui 19 Messaoudi, Salim A. 19 Mordukhovich, Boris S. 19 Pandolfi, Luciano 19 Shi, Jingtao 18 Alduncin, Gonzalo 18 Bo, Lijun 18 Casado-Díaz, Juan 18 Karlsen, Kenneth Hvistendahl 18 Migórski, Stanisław 18 Repovš, Dušan D. 18 Rösch, Arnd 18 Sciunzi, Berardino 18 Shen, Yang 18 Staicu, Vasile 18 Stettner, Łukasz 18 Teo, Kok Lay 17 Avalos, George 17 Barbagallo, Annamaria 17 Barles, Guy 17 Chen, Yanping 17 Fang, Yaping 17 Gozzi, Fausto ...and 11,524 more Authors
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### Cited in 727 Journals

 576 Applied Mathematics and Optimization 562 Journal of Mathematical Analysis and Applications 507 Journal of Optimization Theory and Applications 338 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 314 Journal of Differential Equations 286 SIAM Journal on Control and Optimization 231 Optimization 219 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 197 Stochastic Processes and their Applications 173 Applied Mathematics and Computation 172 Automatica 167 Journal of Computational and Applied Mathematics 159 Systems & Control Letters 147 Numerical Functional Analysis and Optimization 137 Mathematical Programming. Series A. Series B 131 Applicable Analysis 128 Journal of Global Optimization 124 Computers & Mathematics with Applications 116 Stochastic Analysis and Applications 113 International Journal of Control 108 Computational Optimization and Applications 102 Nonlinear Analysis. Theory, Methods & Applications 96 European Journal of Operational Research 95 Archive for Rational Mechanics and Analysis 93 Calculus of Variations and Partial Differential Equations 88 Nonlinear Analysis. Real World Applications 81 Journal of Functional Analysis 79 Mathematical Methods in the Applied Sciences 78 Applied Mathematics Letters 74 Transactions of the American Mathematical Society 73 Insurance Mathematics & Economics 71 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 71 Optimization Methods & Software 71 Set-Valued and Variational Analysis 70 Numerical Algorithms 70 Abstract and Applied Analysis 69 The Annals of Applied Probability 69 Communications in Partial Differential Equations 69 Discrete and Continuous Dynamical Systems 68 Journal de Mathématiques Pures et Appliquées. Neuvième Série 67 Journal of Mathematical Sciences (New York) 67 Mathematical Problems in Engineering 64 Acta Applicandae Mathematicae 64 Mathematical Control and Related Fields 63 Mathematical Methods of Operations Research 63 Evolution Equations and Control Theory 62 SIAM Journal on Optimization 60 ZAMP. Zeitschrift für angewandte Mathematik und Physik 58 Numerische Mathematik 55 Annals of Operations Research 55 NoDEA. Nonlinear Differential Equations and Applications 55 Discrete and Continuous Dynamical Systems. Series B 55 Optimization Letters 54 Journal of Evolution Equations 53 Annali di Matematica Pura ed Applicata. Serie Quarta 53 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 52 SIAM Journal on Mathematical Analysis 51 Journal of Scientific Computing 51 Journal of Inequalities and Applications 50 Computer Methods in Applied Mechanics and Engineering 50 Applied Numerical Mathematics 50 International Journal of Theoretical and Applied Finance 49 Journal of Mathematical Physics 49 MCSS. Mathematics of Control, Signals, and Systems 49 Communications on Pure and Applied Analysis 47 Stochastics and Dynamics 47 Boundary Value Problems 44 Dynamic Games and Applications 42 Mathematics of Operations Research 42 Linear Algebra and its Applications 42 Comptes Rendus. Mathématique. Académie des Sciences, Paris 41 The Annals of Probability 41 Journal of Economic Dynamics & Control 41 Mathematical Finance 41 Infinite Dimensional Analysis, Quantum Probability and Related Topics 41 Stochastics 41 SIAM Journal on Financial Mathematics 38 Proceedings of the American Mathematical Society 38 Journal of Dynamical and Control Systems 38 Quantitative Finance 37 Mathematics of Computation 37 Journal of Systems Science and Complexity 36 Advances in Applied Probability 36 Operations Research Letters 36 International Journal of Computer Mathematics 36 Journal of Industrial and Management Optimization 35 Kybernetika 35 Journal of Applied Mathematics and Computing 34 Mathematical and Computer Modelling 33 Potential Analysis 33 European Journal of Control 33 Acta Mathematica Sinica. English Series 33 Communications in Contemporary Mathematics 32 Statistics & Probability Letters 32 Acta Mathematicae Applicatae Sinica. English Series 32 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 32 Finance and Stochastics 31 Discrete and Continuous Dynamical Systems. Series S 30 Stochastics 30 Applications of Mathematics ...and 627 more Journals
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### Cited in 59 Fields

 4,390 Partial differential equations (35-XX) 4,053 Calculus of variations and optimal control; optimization (49-XX) 2,874 Systems theory; control (93-XX) 2,603 Probability theory and stochastic processes (60-XX) 2,480 Operations research, mathematical programming (90-XX) 1,892 Numerical analysis (65-XX) 1,798 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 955 Mechanics of deformable solids (74-XX) 876 Operator theory (47-XX) 626 Fluid mechanics (76-XX) 590 Ordinary differential equations (34-XX) 348 Biology and other natural sciences (92-XX) 307 Dynamical systems and ergodic theory (37-XX) 275 Global analysis, analysis on manifolds (58-XX) 246 Statistics (62-XX) 233 Functional analysis (46-XX) 207 Real functions (26-XX) 192 Integral equations (45-XX) 184 Computer science (68-XX) 182 Information and communication theory, circuits (94-XX) 154 Statistical mechanics, structure of matter (82-XX) 135 Classical thermodynamics, heat transfer (80-XX) 105 Quantum theory (81-XX) 87 Mechanics of particles and systems (70-XX) 80 Linear and multilinear algebra; matrix theory (15-XX) 77 Differential geometry (53-XX) 68 Optics, electromagnetic theory (78-XX) 64 General topology (54-XX) 59 Difference and functional equations (39-XX) 55 Convex and discrete geometry (52-XX) 53 Potential theory (31-XX) 51 Measure and integration (28-XX) 50 Approximations and expansions (41-XX) 50 Geophysics (86-XX) 39 Harmonic analysis on Euclidean spaces (42-XX) 24 Integral transforms, operational calculus (44-XX) 18 Combinatorics (05-XX) 16 Special functions (33-XX) 14 History and biography (01-XX) 12 Functions of a complex variable (30-XX) 10 General and overarching topics; collections (00-XX) 8 Algebraic geometry (14-XX) 8 Topological groups, Lie groups (22-XX) 8 Manifolds and cell complexes (57-XX) 7 Mathematical logic and foundations (03-XX) 7 Nonassociative rings and algebras (17-XX) 7 Geometry (51-XX) 6 Algebraic topology (55-XX) 5 Abstract harmonic analysis (43-XX) 5 Relativity and gravitational theory (83-XX) 4 Group theory and generalizations (20-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Sequences, series, summability (40-XX) 3 Number theory (11-XX) 3 Astronomy and astrophysics (85-XX) 3 Mathematics education (97-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX)