On metric viscosity solutions for Hamilton-Jacobi equations of evolution type
Analysis of PDEs
2014-07-30 v1
Abstract
This paper studies Hamilton-Jacobi equations of evolution type defined in a general metric space. We give a notion of a solution through optimal principles and establish a unique existence theorem of the solution for initial value problems. We also note a relationship between the notion of a solution and another notion based on characterization of the modulus of the gradient in the sense of [13].
Keywords
Cite
@article{arxiv.1407.7634,
title = {On metric viscosity solutions for Hamilton-Jacobi equations of evolution type},
author = {Atsushi Nakayasu},
journal= {arXiv preprint arXiv:1407.7634},
year = {2014}
}