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.

Existence of viscosity soluton for a singular Hamilton-Jacobi equation / Ibrahim, H.; Zabad, Sahar. - In: ARAB JOURNAL OF MATHEMATICAL SCIENCES. - ISSN 1319-5166. - STAMPA. - 21:1(2015), pp. 98-108. [10.1016/j.ajmsc.2014.03.001]

Existence of viscosity soluton for a singular Hamilton-Jacobi equation

ZABAD, SAHAR
2015

Abstract

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.
2015
35L65; 49L25; 54C70; 70H20; 74H20; 74H25; dynamics of dislocation densities; Hamilton–Jacobi equations; scalar conservation laws; viscosity solutions
01 Pubblicazione su rivista::01a Articolo in rivista
Existence of viscosity soluton for a singular Hamilton-Jacobi equation / Ibrahim, H.; Zabad, Sahar. - In: ARAB JOURNAL OF MATHEMATICAL SCIENCES. - ISSN 1319-5166. - STAMPA. - 21:1(2015), pp. 98-108. [10.1016/j.ajmsc.2014.03.001]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/870295
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