Global propagation of singularities for solutions of Hamilton-Jacobi equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:444

Article

Albano, Paolo¹ 

[1] Univ Bologna, Dipartimento Matemat, Piazza Porta San Donato 5, I-40127 Bologna, Italy

关键词: Hamilton-Jacobi equations;    Viscosity solutions;    Singular set;    Generalized characteristics;   

DOI  :  10.1016/j.jmaa.2016.07.037

来源: Elsevier

【 摘 要 】

We show that the singularities of the viscosity solutions for a class of Hamilton Jacobi equations propagate along the generalized characteristics for all the times. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free