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
Recommended Citation
Goldstein, G., Goldstein, J., & Soeharyadi, Y. (2006). Symmetries, invariances, and boundary value problems for the Hamilton-Jacobi equation. Journal of Computational Analysis and Applications, 8 (3), 205-222. Retrieved from https://digitalcommons.memphis.edu/facpubs/5816
