Existence of viscosity solution for a singular Hamilton–Jacobi equation

In this paper we study the existence of a singular Hamilton–Jacobi equation under the framework of viscosity solutions. The analysis is inspired by the arguments of [8] where a study of a model on dislocation dynamics was considered.

Bibliographic Details
Main Authors: H. Ibrahim, S. Zabad
Format: Article
Language:English
Published: Emerald Publishing 2015-01-01
Series:Arab Journal of Mathematical Sciences
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1319516614000048