One Citation
Hölder regularity of Hamilton-Jacobi equations with stochastic forcing
- Mathematics
- 2020
We obtain space-time Holder regularity estimates for solutions of first-and second-order Hamilton-Jacobi equations perturbed with an additive stochastic forcing term. The bounds depend only on the…
References
SHOWING 1-10 OF 65 REFERENCES
Stochastic homogenization of Hamilton‐Jacobi‐Bellman equations
- Mathematics
- 2006
We study the homogenization of some Hamilton‐Jacobi‐Bellman equations with a vanishing second‐order term in a stationary ergodic random medium under the hyperbolic scaling of time and space. Imposing…
Scaling limits and homogenization of mixing Hamilton-Jacobi equations
- Mathematics
- 2019
Abstract We study the homogenization of nonlinear, first-order equations with highly oscillatory mixing spatio-temporal dependence. It is shown in a variety of settings that the homogenized equations…
Stochastic homogenization of viscous Hamilton–Jacobi equations and applications
- Mathematics
- 2014
We present stochastic homogenization results for viscous Hamilton-Jacobi equations using a new argument which is based only on the subadditive structure of maximal subsolutions (solutions of the…
Stochastic homogenization of quasilinear Hamilton-Jacobi equations and geometric motions
- Mathematics
- 2015
We study random homogenization of second-order, degenerate and quasilinear Hamilton-Jacobi equations which are positively homogeneous in the gradient. Included are the equations of forced mean…
Stochastic homogenization of Hamilton-Jacobi and degenerate Bellman equations in unbounded environments
- Mathematics
- 2011
Homogenization for¶Stochastic Hamilton-Jacobi Equations
- Mathematics
- 2000
Abstract:Homogenization asks whether average behavior can be discerned from partial differential equations that are subject to high-frequency fluctuations when those fluctuations result from a…
Homogenization of “Viscous” Hamilton–Jacobi Equations in Stationary Ergodic Media
- Mathematics
- 2005
ABSTRACT We study the homogenization of “viscous” Hamilton–Jacobi equations in stationary ergodic media. The “viscosity” and the spatial oscillations are assumed to be of the same order. We identify…
Homogenization and Enhancement for the G—Equation
- Mathematics
- 2010
We consider the so-called G-equation, a level set Hamilton–Jacobi equation used as a sharp interface model for flame propagation, perturbed by an oscillatory advection in a spatio-temporal periodic…
Stochastic homogenization of Hamilon-Jacobi and "viscous"-Hamilton-Jacobi equations with convex nonlinearities -- Revisited
- Mathematics
- 2010
In this note we revisit the homogenization theory of Hamilton-Jacobi and “viscous”Hamilton-Jacobi partial differential equations with convex nonlinearities in stationary ergodic environments. We…