Existence and regularity results for viscous Hamilton-Jacobi equations with Caputo time-fractional derivative
Analysis of PDEs
2020-02-26 v2
Abstract
We study existence, uniqueness and regularity properties of classical solutions to viscous Hamilton-Jacobi equations with Caputo time-fractional derivative. Our study relies on a combination of a gradient bound for the time-fractional Hamilton-Jacobi equation obtained via nonlinear adjoint method and sharp estimates in Sobolev and H\"older spaces for the corresponding linear problem.
Keywords
Cite
@article{arxiv.1906.01338,
title = {Existence and regularity results for viscous Hamilton-Jacobi equations with Caputo time-fractional derivative},
author = {Fabio Camilli and Alessandro Goffi},
journal= {arXiv preprint arXiv:1906.01338},
year = {2020}
}
Comments
30 pages