Name
Title | ||
|---|---|---|
Stochastic Homogenization for Functionals with Anisotropic Rescaling and Noncoercive Hamilton--Jacobi Equations |
Abstract | ||
|---|---|---|
We study the stochastic homogenization for a Cauchy problem for a first-order Hamilton-Jacobi equation whose operator is not coercive w.r.t. the gradient variable. We look at Hamiltonians like H(x, sigma(x)p, omega), where sigma(x) is a matrix associated to a Carnot group. The rescaling considered is consistent with the underlying Carnot group structure, thus anisotropic. We will prove that under suitable assumptions for the Hamiltonian, the solutions of the epsilon-problem converge to a deterministic function which can be characterized as the unique (viscosity) solution of a suitable deterministic Hamilton-Jacobi problem. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1137/17M1144428 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS |
Keywords | DocType | Volume |
stochastic homogenization,noncoercive Hamilton-Jacobi equations,Carnot groups,Hormander condition,Heisenberg group,anisotropic functionals | Journal | 50 |
Issue | ISSN | Citations |
5 | 0036-1410 | 0 |
PageRank | References | Authors |
0.34 | 0 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Nicolas Dirr | 1 | 4 | 3.26 |
| Federica Dragoni | 2 | 0 | 0.68 |
| Paola Mannucci | 3 | 5 | 1.83 |
| claudio marchi | 4 | 4 | 1.54 |