The Lax solution to a Hamilton-Jacobi equation and its generalizations: Part 2

Document Type

Article

Publication Date

11-1-2003

Abstract

A study on the Lax solution to a Hamilton-Jacobi equation is presented. It is proved that the function defined by the infimum-based Lax formula provides a solution almost everywhere in x for each fixed t>0 to the Hamilton-Jacobi, Cauchy problem. A generalization of the Lax formula is developed for the more inclusive Hamilton-Jacobi equation.

Identifier

0141917540 (Scopus)

Publication Title

Nonlinear Analysis Theory Methods and Applications

External Full Text Location

https://doi.org/10.1016/j.na.2003.08.004

ISSN

0362546X

First Page

629

Last Page

640

Issue

5

Volume

55

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