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
Recommended Citation
Goldstein, J., & Soeharyadi, Y. (2002). Regularity of perturbed Hamilton-Jacobi equations. Nonlinear Analysis, Theory, Methods and Applications, 51 (2), 239-248. https://doi.org/10.1016/S0362-546X(01)00828-8
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