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arXiv · 1906.01338

Existence and regularity results for viscous Hamilton-Jacobi equations with Caputo time-fractional derivative

Fabio Camilli·Alessandro Goffi
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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.

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Fabio Camilli, Alessandro Goffi. 2019-06-04. Existence and regularity results for viscous Hamilton-Jacobi equations with Caputo time-fractional derivative. https://arxiv.org/abs/1906.01338

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