Comparison principles for nonlocal Hamilton-Jacobi equations-Reference-Cited by-同舟云学术

Comparison principles for nonlocal Hamilton-Jacobi equations

Published:2022 Issue:9 Volume:42 Page:4471
ISSN:1078-0947
Container-title:Discrete and Continuous Dynamical Systems
language:
Short-container-title:DCDS

Author:

Dávila Gonzalo¹

Affiliation:

1. Universidad Técnica Federico Santa María, Departamento de Matemática, Chile

Abstract

<p style='text-indent:20px;'>We prove the comparison principle for viscosity sub and super solutions of degenerate nonlocal operators with general nonlocal gradient nonlinearities. The proofs apply to purely Hamilton-Jacobi equations of order <inline-formula><tex-math id="M1">\begin{document}$ 0<s<1 $\end{document}</tex-math></inline-formula>.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

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