Title

Symmetries, invariances, and boundary value problems for the Hamilton-Jacobi equation

Abstract

Even solutions, odd solutions, skew odd solutions, and periodic solutions to a perturbed Hamilton-Jacobi equation in N dimension are established via the theory of invariant sets for semigroups of nonlinear operators. These solutions are related to the Neumann, Dirichlet, and periodic initial-boundary value problems in the first quadrant. Lipschitz regularity of the solutions are also explored. COPYRIGHT 2006 EUDOXUS PRESS, LLC.

Publication Title

Journal of Computational Analysis and Applications

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