On the Hamilton-Jacobi equation in the framework of generalized functions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:382

Article

Fernandez, Roseli

关键词: Generalized functions;    Method of characteristics;    Hamilton-Jacobi equation;   

DOI  :  10.1016/j.jmaa.2011.04.069

来源: Elsevier

【 摘 要 】

In this work we study, in the framework of Colombeau's generalized functions, the Hamilton-Jacobi equation with a given initial condition. We have obtained theorems on existence of solutions and in some cases uniqueness. Our technique is adapted from the classical method of characteristics with a wide use of generalized functions. We were led also to obtain some general results on invertibility and also on ordinary differential equations of such generalized functions. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free