Title

Regularity of perturbed Hamilton-Jacobi equations

Abstract

Regularity of perturbed Hamilton-Jacobi equations was studied. Functions in Burch class are semiconcave and satisfy a Lipschtiz condition and their second centered difference quotients are bounded above. It was proved that Burch class is compact. Hamilton-Jacobi equation is governed by a strongly continuous non-expansive nonlinear semigroup.

Publication Title

Nonlinear Analysis, Theory, Methods and Applications

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