HOMOGENIZATION OF A PERIODIC DEGENERATE SEMILINEAR ELLIPTIC PDE

DOI10.1142/S0219493711003401zbMath1237.35063arXiv1305.1211MaRDI QIDQ3174003

Etienne Pardoux, Ahmadou Bamba Sow

Publication date: 11 October 2011

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.1211

zbMATH Keywords

homogenizationbackward stochastic differential equationprobabilistic representation of solutions of elliptic PDEs

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Applications of stochastic analysis (to PDEs, etc.) (60H30) Functional limit theorems; invariance principles (60F17) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Semilinear elliptic equations (35J61)

Related Items (2)

Backward stochastic differential equations with Markov chains and related asymptotic properties ⋮ A CLT for degenerate diffusions with periodic coefficients, and application to homogenization of linear PDEs

Cites Work

• Homogenization of periodic linear degenerate PDEs
• Homogenization of periodic semilinear parabolic degenerate PDEs
• Stability of BSDEs with random terminal time and homogenization of semilinear elliptic PDEs
• On the Poisson equation and diffusion approximation. III
• Homogenization of linear and semilinear second order parabolic PDEs with periodic coefficients: A probabilistic approach
• Auxiliary SDEs for homogenization of quasilinear PDEs with periodic coefficients.
• H-measures, a new approach for studying homogenisation, oscillations and concentration effects in partial differential equations
• $L^\infty $ Estimate for Some Nonlinear Elliptic Partial Differential Equations and Application to an Existence Result

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