Homogenization for stochastic Hamilton-Jacobi equations
From MaRDI portal
Publication:1566942
DOI10.1007/s002050050198zbMath0954.35022OpenAlexW2365864615MaRDI QIDQ1566942
Fraydoun Rezakhanlou, James E. Tarver
Publication date: 22 November 2000
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s002050050198
Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
Related Items (53)
Pathwise Solutions for Fully Nonlinear First- and Second-Order Partial Differential Equations with Multiplicative Rough Time Dependence ⋮ Random Lax-Oleinik semigroups for Hamilton-Jacobi systems ⋮ Random homogenization of coercive Hamilton-Jacobi equations in 1d ⋮ Quantitative stochastic homogenization of an unbounded front propagation problem ⋮ Stochastic homogenization of nonconvex Hamilton-Jacobi equations in one space dimension ⋮ The variational approach to Hamilton-Jacobi equations driven by a Gaussian noise ⋮ Error estimates for approximation schemes of effective Hamiltonians arising in stochastic homogenization of Hamilton-Jacobi equations ⋮ An example of failure of stochastic homogenization for viscous Hamilton-Jacobi equations without convexity ⋮ Perturbation problems in homogenization of Hamilton-Jacobi equations ⋮ Homogenization of viscous and non-viscous HJ equations: a remark and an application ⋮ Homogenization and non-homogenization of certain non-convex Hamilton-Jacobi equations ⋮ Stochastic Homogenization of Nonconvex Hamilton‐Jacobi Equations: A Counterexample ⋮ Stochastic homogenization of certain nonconvex Hamilton-Jacobi equations ⋮ Homogenization of pathwise Hamilton-Jacobi equations ⋮ Stochastic homogenization of \(L^\infty\) variational problems ⋮ Stochastic homogenization of Hamilton-Jacobi and degenerate Bellman equations in unbounded environments ⋮ Metric techniques for convex stationary ergodic Hamiltonians ⋮ Weak KAM theory topics in the stationary ergodic setting ⋮ Weakly mixing smooth planar vector field without asymptotic directions ⋮ Large time average of reachable sets and applications to homogenization of interfaces moving with oscillatory spatio-temporal velocity ⋮ Homogenization of weakly coupled systems of Hamilton-Jacobi equations with fast switching rates ⋮ Stochastic homogenization of a class of quasiconvex viscous Hamilton-Jacobi equations in one space dimension ⋮ Multiscale problems and homogenization for second-order Hamilton-Jacobi equations ⋮ Error estimates and convergence rates for the stochastic homogenization of Hamilton-Jacobi equations ⋮ Stochastic homogenization of a front propagation problem with unbounded velocity ⋮ Stochastic homogenization of viscous superquadratic Hamilton-Jacobi equations in dynamic random environment ⋮ Stochastic Homogenization for Some Nonlinear Integro-Differential Equations ⋮ A sublinear variance bound for solutions of a random Hamilton-Jacobi equation ⋮ Stochastic homogenization of interfaces moving with changing sign velocity ⋮ Rates of convergence for the homogenization of fully nonlinear uniformly elliptic PDE in random media ⋮ On the existence of correctors for the stochastic homogenization of viscous Hamilton-Jacobi equations ⋮ Homogenization of “Viscous” Hamilton–Jacobi Equations in Stationary Ergodic Media ⋮ Min-max formulas and other properties of certain classes of nonconvex effective Hamiltonians ⋮ Stochastic Homogenization for Functionals with Anisotropic Rescaling and Noncoercive Hamilton--Jacobi Equations ⋮ Fluctuations of Random Semilinear Advection Equations ⋮ Homogenization of a stochastically forced Hamilton-Jacobi equation ⋮ Stochastic homogenization and effective Hamiltonians of Hamilton-Jacobi equations in one space dimension: the double-well case ⋮ Homogenization of a class of one-dimensional nonconvex viscous Hamilton-Jacobi equations with random potential ⋮ Existence and regularity of strict critical subsolutions in the stationary ergodic setting ⋮ Exact and approximate correctors for stochastic Hamiltonians: The 1-dimensional case ⋮ On the first eigenpair of singularly perturbed operators with oscillating coefficients ⋮ Scaling limits and homogenization of mixing Hamilton-Jacobi equations ⋮ Stochastic homogenization of a nonconvex Hamilton-Jacobi equation ⋮ A discussion about the homogenization of moving interfaces ⋮ Variational Formula for the Time Constant of First-Passage Percolation ⋮ Stochastic homogenization of deterministic control problems ⋮ Quantitative Stochastic Homogenization of Viscous Hamilton-Jacobi Equations ⋮ Homogenization and Enhancement of theG-Equation in Random Environments ⋮ Continuum limit for some growth models. ⋮ Homogenization of degenerate second-order PDE in periodic and almost periodic environments and applications ⋮ Properties and conjectures for the flux of TASEP with site disorder ⋮ Periodic approximations of the ergodic constants in the stochastic homogenization of nonlinear second-order (degenerate) equations ⋮ Strongly mixing smooth planar vector field without asymptotic directions
This page was built for publication: Homogenization for stochastic Hamilton-Jacobi equations