Stochastic Homogenization of Nonconvex Hamilton-Jacobi Equations: A Counterexample

Bruno Ziliotto

doi:10.1002/cpa.21674

Stochastic Homogenization of Nonconvex Hamilton-Jacobi Equations: A Counterexample

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.21674 ◽

2016 ◽

Vol 70 (9) ◽

pp. 1798-1809 ◽

Cited By ~ 10

Author(s):

Bruno Ziliotto

Keyword(s):

Stochastic Homogenization ◽

Jacobi Equations

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Fronts and Stochastic Homogenization of Hamilton–Jacobi Equations

An Introduction to Fronts in Random Media ◽

10.1007/978-0-387-87683-2_4 ◽

2009 ◽

pp. 69-92

Author(s):

Jack Xin

Keyword(s):

Stochastic Homogenization ◽

Jacobi Equations

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Error estimates for approximation schemes of effective Hamiltonians arising in stochastic homogenization of Hamilton-Jacobi equations

Numerical Algorithms ◽

10.1007/s11075-016-0120-0 ◽

2016 ◽

Vol 73 (3) ◽

pp. 839-868 ◽

Cited By ~ 1

Author(s):

A. Hajej

Keyword(s):

Error Estimates ◽

Approximation Schemes ◽

Stochastic Homogenization ◽

Jacobi Equations ◽

Effective Hamiltonians

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Error estimates and convergence rates for the stochastic homogenization of Hamilton-Jacobi equations

Journal of the American Mathematical Society ◽

10.1090/s0894-0347-2014-00783-9 ◽

2014 ◽

Vol 27 (2) ◽

pp. 479-540 ◽

Cited By ~ 22

Author(s):

Scott N. Armstrong ◽

Pierre Cardaliaguet ◽

Panagiotis E. Souganidis

Keyword(s):

Error Estimates ◽

Convergence Rates ◽

Stochastic Homogenization ◽

Jacobi Equations

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Quantitative Stochastic Homogenization of Viscous Hamilton-Jacobi Equations

Communications in Partial Differential Equations ◽

10.1080/03605302.2014.971372 ◽

2014 ◽

Vol 40 (3) ◽

pp. 540-600 ◽

Cited By ~ 7

Author(s):

Scott N. Armstrong ◽

Pierre Cardaliaguet

Keyword(s):

Stochastic Homogenization ◽

Jacobi Equations

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Stochastic homogenization of viscous superquadratic Hamilton–Jacobi equations in dynamic random environment

Research in the Mathematical Sciences ◽

10.1186/s40687-016-0090-9 ◽

2017 ◽

Vol 4 (1) ◽

Cited By ~ 1

Author(s):

Wenjia Jing ◽

Panagiotis E. Souganidis ◽

Hung V. Tran

Keyword(s):

Random Environment ◽

Stochastic Homogenization ◽

Jacobi Equations

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Stochastic homogenization of viscous Hamilton–Jacobi equations and applications

Analysis & PDE ◽

10.2140/apde.2014.7.1969 ◽

2014 ◽

Vol 7 (8) ◽

pp. 1969-2007 ◽

Cited By ~ 14

Author(s):

Scott Armstrong ◽

Hung Tran

Keyword(s):

Stochastic Homogenization ◽

Jacobi Equations

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Stochastic homogenization and effective Hamiltonians of Hamilton–Jacobi equations in one space dimension: the double-well case

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-021-01961-3 ◽

2021 ◽

Vol 60 (3) ◽

Author(s):

Atilla Yilmaz

Keyword(s):

Space Dimension ◽

Stochastic Homogenization ◽

Jacobi Equations ◽

Effective Hamiltonians ◽

One Space Dimension

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An example of failure of stochastic homogenization for viscous Hamilton-Jacobi equations without convexity

Journal of Differential Equations ◽

10.1016/j.jde.2021.01.009 ◽

2021 ◽

Vol 280 ◽

pp. 464-476

Author(s):

William M. Feldman ◽

Jean-Baptiste Fermanian ◽

Bruno Ziliotto

Keyword(s):

Stochastic Homogenization ◽

Jacobi Equations

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On the existence of correctors for the stochastic homogenization of viscous Hamilton–Jacobi equations

Comptes Rendus Mathematique ◽

10.1016/j.crma.2017.06.001 ◽

2017 ◽

Vol 355 (7) ◽

pp. 786-794 ◽

Cited By ~ 4

Author(s):

Pierre Cardaliaguet ◽

Panagiotis E. Souganidis

Keyword(s):

Stochastic Homogenization ◽

Jacobi Equations

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Stochastic homogenization of quasilinear Hamilton–Jacobi equations and geometric motions

Journal of the European Mathematical Society ◽

10.4171/jems/777 ◽

2018 ◽

Vol 20 (4) ◽

pp. 797-864 ◽

Cited By ~ 11

Author(s):

Scott Armstrong ◽

Pierre Cardaliaguet

Keyword(s):

Stochastic Homogenization ◽

Jacobi Equations

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