FIXED POINTS IN THE CONSTRUCTION OF A MINIMAX SOLUTION FOR A CLASS OF BOUNDARY VALUE PROBLEMS FOR HAMILTON–JACOBI EQUATIONS

This paper deals with analytical and numerical methods for constructing a minimax (generalized) solution to the Dirichlet problem for the Hamilton–Jacobi equation. The case of a closed planar nonconvex boundary set is considered, where the boundary points have a smoothness defect in the coordinate f...

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Bibliografische gegevens

Hoofdauteurs:	Pavel D. Lebedev, Alexander A. Uspenskii
Formaat:	Artigo
Taal:	Inglês
Gepubliceerd in:	Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics 2025-12-01
Reeks:	Ural Mathematical Journal
Onderwerpen:	hamilton–jacobi equation, minimax solution, speed-in-action, singular set, wavefront, diffeomorphism, eikonal, pseudo-vertex
Online toegang:	https://umjuran.ru/index.php/umj/article/view/1047
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