EDP Sciences logo
Subscriber Authentication Point
Search
Menu
All issues ESAIM: M2AN, 21 4 (1987) 557-579 Article references

Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

Hydrodynamic limit and cutoff for the biased adjacent walk on the simplex

Cyril Labbé and Enguérand Petit
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 61 (2) (2025)
https://doi.org/10.1214/23-AIHP1448

Overcoming the curse of dimensionality in the numerical approximation of high-dimensional semilinear elliptic partial differential equations

Christian Beck, Lukas Gonon and Arnulf Jentzen
Partial Differential Equations and Applications 5 (6) (2024)
https://doi.org/10.1007/s42985-024-00272-4

Kinodynamic Control Systems and Discontinuities in Clearance

Niles Armstrong, Jory Denny and Jeremy LeCrone
SIAM Journal on Control and Optimization 61 (4) 2448 (2023)
https://doi.org/10.1137/22M1516221

Large‐scale asymptotics of velocity‐jump processes and nonlocal Hamilton–Jacobi equations

Emeric Bouin, Vincent Calvez, Emmanuel Grenier and Grégoire Nadin
Journal of the London Mathematical Society 108 (1) 141 (2023)
https://doi.org/10.1112/jlms.12742

Discontinuous Solutions of Hamilton–Jacobi Equations Versus Radon Measure-Valued Solutions of Scalar Conservation Laws: Disappearance of Singularities

Michiel Bertsch, Flavia Smarrazzo, Andrea Terracina and Alberto Tesei
Journal of Dynamics and Differential Equations 35 (1) 455 (2023)
https://doi.org/10.1007/s10884-021-09997-x

Speed-up of traveling waves by negative chemotaxis

Quentin Griette, Christopher Henderson and Olga Turanova
Journal of Functional Analysis 285 (10) 110115 (2023)
https://doi.org/10.1016/j.jfa.2023.110115

Large Deviation Principle and Thermodynamic Limit of Chemical Master Equation via Nonlinear Semigroup

Yuan Gao and Jian-Guo Liu
Multiscale Modeling & Simulation 21 (4) 1534 (2023)
https://doi.org/10.1137/22M1505633

Concentration profiles in FitzHugh-Nagumo neural networks: A Hopf-Cole approach

Alain Blaustein and Emeric Bouin
Discrete and Continuous Dynamical Systems - B (2023)
https://doi.org/10.3934/dcdsb.2023165

Non-local competition slows down front acceleration during dispersal evolution

Vincent Calvez, Christopher Henderson, Sepideh Mirrahimi, Olga Turanova and Thierry Dumont
Annales Henri Lebesgue 5 1 (2022)
https://doi.org/10.5802/ahl.117

Periodic homogenization for weakly elliptic Hamilton-Jacobi-Bellman equations with critical fractional diffusion

Adina Ciomaga, Daria Ghilli and Erwin Topp
Communications in Partial Differential Equations 47 (1) 1 (2022)
https://doi.org/10.1080/03605302.2021.1941108

Convergence of dynamic programming principles for the p-Laplacian

Félix del Teso, Juan J. Manfredi and Mikko Parviainen
Advances in Calculus of Variations 15 (2) 191 (2022)
https://doi.org/10.1515/acv-2019-0043

A thorough description of one-dimensional steady open channel flows using the notion of viscosity solution

Sovanna Mean, Koichi Unami, Hisashi Okamoto and Masayuki Fujihara
Applied Mathematics and Computation 415 126730 (2022)
https://doi.org/10.1016/j.amc.2021.126730

Asymptotic Spreading for General Heterogeneous Fisher-KPP Type Equations

Henri Berestycki and Grégoire Nadin
Memoirs of the American Mathematical Society 280 (1381) (2022)
https://doi.org/10.1090/memo/1381

Variational p-harmonious functions: existence and convergence to p-harmonic functions

E. W. Chandra, M. Ishiwata, R. Magnanini and H. Wadade
Nonlinear Differential Equations and Applications NoDEA 28 (5) (2021)
https://doi.org/10.1007/s00030-021-00714-7

Stacked invasion waves in a competition-diffusion model with three species

Qian Liu, Shuang Liu and King-Yeung Lam
Journal of Differential Equations 271 665 (2021)
https://doi.org/10.1016/j.jde.2020.09.008

Discontinuous viscosity solutions of first-order Hamilton–Jacobi equations

Michiel Bertsch, Flavia Smarrazzo, Andrea Terracina and Alberto Tesei
Journal of Hyperbolic Differential Equations 18 (04) 857 (2021)
https://doi.org/10.1142/S0219891621500259

Origin-to-destination network flow with path preferences and velocity controls: A mean field game-like approach

Fabio Bagagiolo, Rosario Maggistro and Raffaele Pesenti
Journal of Dynamics & Games 8 (4) 359 (2021)
https://doi.org/10.3934/jdg.2021007

Reflected dynamics: Viscosity analysis for L∞ cost, relaxation and abstract dynamic programming

Dan Goreac, Hadjer Hechaichi and Oana-Silvia Serea
Journal of Differential Equations 290 78 (2021)
https://doi.org/10.1016/j.jde.2021.04.024

Asymptotic spreading of interacting species with multiple fronts II: Exponentially decaying initial data

Shuang Liu, Qian Liu and King-Yeung Lam
Journal of Differential Equations 303 407 (2021)
https://doi.org/10.1016/j.jde.2021.09.023

On nonlinear Feynman–Kac formulas for viscosity solutions of semilinear parabolic partial differential equations

Christian Beck, Martin Hutzenthaler and Arnulf Jentzen
Stochastics and Dynamics 21 (08) (2021)
https://doi.org/10.1142/S0219493721500489

Viscosity solutions to a new phase-field model with Neumann boundary condition for solid-solid phase transitions

Xue Han and Xingzhi Bian
Journal of Mathematical Analysis and Applications 486 (2) 123900 (2020)
https://doi.org/10.1016/j.jmaa.2020.123900

Front propagation for integro-differential KPP reaction–diffusion equations in periodic media

Panagiotis E. Souganidis and Andrei Tarfulea
Nonlinear Differential Equations and Applications NoDEA 26 (4) (2019)
https://doi.org/10.1007/s00030-019-0573-7

Zero-Sum Stochastic Differential Games Without the Isaacs Condition: Random Rules of Priority and Intermediate Hamiltonians

Daniel Hernández-Hernández and Mihai Sîrbu
SIAM Journal on Control and Optimization 56 (3) 2095 (2018)
https://doi.org/10.1137/17M1128976

On Asymptotic Speed of Solutions to Level-Set Mean Curvature Flow Equations with Driving and Source Terms

Yoshikazu Giga, Hiroyoshi Mitake and Hung V. Tran
SIAM Journal on Mathematical Analysis 48 (5) 3515 (2016)
https://doi.org/10.1137/15M1052755

Compactness methods for doubly nonlinear parabolic systems

Ryan Hynd
Transactions of the American Mathematical Society 369 (7) 5031 (2016)
https://doi.org/10.1090/tran/6828

A doubly nonlinear evolution for the optimal Poincaré inequality

Ryan Hynd and Erik Lindgren
Calculus of Variations and Partial Differential Equations 55 (4) (2016)
https://doi.org/10.1007/s00526-016-1026-3

Uniform Equicontinuity for a Family of Zero Order Operators Approaching the Fractional Laplacian

Patricio Felmer and Erwin Topp
Communications in Partial Differential Equations 40 (9) 1591 (2015)
https://doi.org/10.1080/03605302.2015.1045072

Loss of regularity for Kolmogorov equations

Martin Hairer, Martin Hutzenthaler and Arnulf Jentzen
The Annals of Probability 43 (2) (2015)
https://doi.org/10.1214/13-AOP838

Higher order discrete controllability and the approximation of the minimum time function

Giovanni Colombo and Thuy T. T. Le
Discrete & Continuous Dynamical Systems - A 35 (9) 4293 (2015)
https://doi.org/10.3934/dcds.2015.35.4293

Homogenization and Asymptotics for Small Transaction Costs: The Multidimensional Case

Dylan Possamaï, H. Mete Soner and Nizar Touzi
Communications in Partial Differential Equations 40 (11) 2005 (2015)
https://doi.org/10.1080/03605302.2015.1053916

Stochastic Analysis and Applications 2014

Zhenjie Ren, Nizar Touzi and Jianfeng Zhang
Springer Proceedings in Mathematics & Statistics, Stochastic Analysis and Applications 2014 100 397 (2014)
https://doi.org/10.1007/978-3-319-11292-3_15

A non-local free boundary problem arising in a theory of financial bubbles

Henri Berestycki, Regis Monneau and José A. Scheinkman
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 372 (2028) 20130404 (2014)
https://doi.org/10.1098/rsta.2013.0404

Singular Neumann problems and large-time behavior of solutions of noncoercive Hamilton-Jacobi equations

Yoshikazu Giga, Qing Liu and Hiroyoshi Mitake
Transactions of the American Mathematical Society 366 (4) 1905 (2013)
https://doi.org/10.1090/S0002-9947-2013-05905-3

Homogenization and Asymptotics for Small Transaction Costs

H. Mete Soner and Nizar Touzi
SIAM Journal on Control and Optimization 51 (4) 2893 (2013)
https://doi.org/10.1137/120870165

Hamilton-Jacobi Equations: Approximations, Numerical Analysis and Applications

Guy Barles
Lecture Notes in Mathematics, Hamilton-Jacobi Equations: Approximations, Numerical Analysis and Applications 2074 49 (2013)
https://doi.org/10.1007/978-3-642-36433-4_2

Large Deviations Principle by viscosity solutions: The case of diffusions with oblique Lipschitz reflections

Magdalena Kobylanski
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 49 (1) (2013)
https://doi.org/10.1214/11-AIHP444

Infinite horizon optimal control problems with multiple thermostatic hybrid dynamics

Fabio Bagagiolo and Katia Danieli
Nonlinear Analysis: Hybrid Systems 6 (2) 824 (2012)
https://doi.org/10.1016/j.nahs.2011.09.001

Solvability via viscosity solutions for a model of phase transitions driven by configurational forces

Peicheng Zhu
Journal of Differential Equations 251 (10) 2833 (2011)
https://doi.org/10.1016/j.jde.2011.05.035

A homogenization approach to flashing ratchets

Benoît Perthame and Panagiotis E. Souganidis
Nonlinear Differential Equations and Applications NoDEA 18 (1) 45 (2011)
https://doi.org/10.1007/s00030-010-0083-0

Convergence of the Approximation Scheme to American Option Pricing via the Discrete Morse Semiflow

Katsuyuki Ishii and Seiro Omata
Applied Mathematics & Optimization 64 (3) 363 (2011)
https://doi.org/10.1007/s00245-011-9145-x

Neumann boundary condition for a non-autonomous Hamilton-Jacobi equation in a quarter plane

Adimurthi and G. D. Veerappa Gowda
Indian Journal of Pure and Applied Mathematics 41 (1) 199 (2010)
https://doi.org/10.1007/s13226-010-0001-5

Large time behavior of solutions of Hamilton–Jacobi equations with periodic boundary data

Hiroyoshi Mitake
Nonlinear Analysis: Theory, Methods & Applications 71 (11) 5392 (2009)
https://doi.org/10.1016/j.na.2009.04.028

A Comparison Principle for Hamilton–Jacobi Equations Related to Controlled Gradient Flows in Infinite Dimensions

Jin Feng and Markos Katsoulakis
Archive for Rational Mechanics and Analysis 192 (2) 275 (2009)
https://doi.org/10.1007/s00205-008-0133-5

A microscopic time scale approximation to the behavior of the local slope on the faceted surface under a nonuniformity in supersaturation

Etsuro Yokoyama, Yoshikazu Giga and Piotr Rybka
Physica D: Nonlinear Phenomena 237 (22) 2845 (2008)
https://doi.org/10.1016/j.physd.2008.05.009

Persistence and stability of solutions of Hamilton–Jacobi equations

Jean-Paul Penot and Constantin Zălinescu
Journal of Mathematical Analysis and Applications 347 (1) 188 (2008)
https://doi.org/10.1016/j.jmaa.2008.05.016

Finite Fuel Problem in Nonlinear Singular Stochastic Control

Monica Motta and Caterina Sartori
SIAM Journal on Control and Optimization 46 (4) 1180 (2007)
https://doi.org/10.1137/050637236

Viscosity Solutions of a Level-Set Method for Anisotropic Geometric Diffusion in Image Processing

Tobias Preusser
Journal of Mathematical Imaging and Vision 29 (2-3) 205 (2007)
https://doi.org/10.1007/s10851-007-0032-7

Optimal Control of Hybrid Systems and a System of Quasi-Variational Inequalities

Huan Zhang and Matthew R. James
SIAM Journal on Control and Optimization 45 (2) 722 (2006)
https://doi.org/10.1137/050630131

Degenerate Eikonal equations with discontinuous refraction index

Pierpaolo Soravia
ESAIM: Control, Optimisation and Calculus of Variations 12 (2) 216 (2006)
https://doi.org/10.1051/cocv:2005033

Convergence to Time-Periodic Solutions in Time-Periodic Hamilton–Jacobi Equations on the Circle

Patrick Bernard and Jean-Michel Roquejoffre
Communications in Partial Differential Equations 29 (3-4) 457 (2005)
https://doi.org/10.1081/PDE-120030404

Mixed Optimal Stopping and Stochastic Control Problems with Semicontinuous Final Reward for Diffusion Processes

Claudia Ceci and Bruno Bassan
Stochastics and Stochastic Reports 76 (4) 323 (2004)
https://doi.org/10.1080/10451120410001728436

Convergence of a High-order Compact Finite Difference Scheme for a Nonlinear Black-Scholes Equation

Bertram Düring, Michel Fournie and Ansgar Jüngel
SSRN Electronic Journal (2004)
https://doi.org/10.2139/ssrn.520443

Regularity of the value function and viscosity solutions in optimal stopping problems for general Markov processes

Bruno Bassan and Claudia Ceci
Stochastics and Stochastic Reports 74 (3-4) 633 (2002)
https://doi.org/10.1080/1045112021000015331

COMPARISON RESULTS FOR QUASILINEAR EQUATIONS IN ANNULAR DOMAINS AND APPLICATIONS1*

Francesca Da Lio
Communications in Partial Differential Equations 27 (1-2) 283 (2002)
https://doi.org/10.1081/PDE-120002788

Comparison principle for the Cauchy problem for Hamilton–Jacobi equations with discontinuous data

Alain-Philippe Blanc
Nonlinear Analysis: Theory, Methods & Applications 45 (8) 1015 (2001)
https://doi.org/10.1016/S0362-546X(99)00432-0

Generalized Convexity and Generalized Monotonicity

Jean-Paul Penot and Michel Volle
Lecture Notes in Economics and Mathematical Systems, Generalized Convexity and Generalized Monotonicity 502 294 (2001)
https://doi.org/10.1007/978-3-642-56645-5_21

Worst case analysis of nonlinear systems

I.J. Fialho and T.T. Georgiou
IEEE Transactions on Automatic Control 44 (6) 1180 (1999)
https://doi.org/10.1109/9.769372