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 Hölder spaces for the corresponding linear problem.

Existence and regularity results for viscous Hamilton–Jacobi equations with Caputo time-fractional derivative / Camilli F.; Goffi A.. - In: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. - ISSN 1021-9722. - STAMPA. - 27:(2020), pp. 22.1-22.37. [10.1007/s00030-020-0624-0]

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

Goffi A.
2020

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 Hölder spaces for the corresponding linear problem.
2020
27
1
37
Camilli F.; Goffi A.
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/1383937
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