Homogenization of periodic linear degenerate PDEs

DOI10.1016/j.jfa.2008.04.014zbMath1167.60015arXivmath/0702304OpenAlexW1986379750WikidataQ56894440 ScholiaQ56894440MaRDI QIDQ999850

Martin Hairer, Etienne Pardoux

Publication date: 10 February 2009

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702304

zbMATH Keywords

Malliavin calculushomogenizationspectral gapeffective diffusivitydegenerate PDE

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Brownian motion (60J65) Diffusion processes (60J60) Stochastic calculus of variations and the Malliavin calculus (60H07) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Initial value problems for second-order parabolic equations (35K15)

Related Items (17)

Homogenization of nonlocal partial differential equations related to stochastic differential equations with Lévy noise ⋮ HOMOGENIZATION OF A PERIODIC DEGENERATE SEMILINEAR ELLIPTIC PDE ⋮ A CLT for degenerate diffusions with periodic coefficients, and application to homogenization of linear PDEs ⋮ Averaging principle and normal deviations for multi-scale stochastic hyperbolic-parabolic equations ⋮ Homogenization of non-symmetric jump processes ⋮ Fast-slow stochastic dynamical system with singular coefficients ⋮ Asymptotic behavior of multiscale stochastic partial differential equations with Hölder coefficients ⋮ Convergence of solutions for the stochastic porous media equations and homogenization ⋮ Diffusion approximation for multi-scale stochastic reaction-diffusion equations ⋮ Parameter estimation via homogenization for stochastic dynamical systems with oscillating coefficients ⋮ Geometric ergodicity of a bead-spring pair with stochastic Stokes forcing ⋮ Averaging principle and normal deviations for multiscale stochastic systems ⋮ Homogenization of locally stationary diffusions with possibly degenerate diffusion matrix ⋮ Diffusion approximation for fully coupled stochastic differential equations ⋮ Homogenization of periodic semilinear parabolic degenerate PDEs ⋮ A Sobolev Inequality and the Individual Invariance Principle for Diffusions in a Periodic Potential ⋮ Rough homogenisation with fractional dynamics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the homogenization of degenerate elliptic equations in divergence form
• Homogenization in open sets with holes
• On the Poisson equation and diffusion approximation. III
• Homogenization of linear and semilinear second order parabolic PDEs with periodic coefficients: A probabilistic approach
• Spectral gaps in Wasserstein distances and the 2D stochastic Navier-Stokes equations
• Homogenization of random degenerated nonlinear monotone operators
• [https://portal.mardi4nfdi.de/wiki/Publication:3889862 Martingales, the Malliavin calculus and hypoellipticity under general H�rmander's conditions]
• An extension theorem from connected sets, and homogenization in general periodic domains
• Homogénéisation de problèmes elliptiques dégénérés

This page was built for publication: Homogenization of periodic linear degenerate PDEs