On the loss of regularity for a class of weakly hyperbolic operators

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:359

Article

Ebert, M. R.¹  Kapp, R. A.²  dos Santos Filho, J. R.² 

[1] Univ Sao Paulo, Fac Filosofia Ciencias & Letras Ribeirao Pret, Dept Fis & Matemat, BR-14040901 Ribeirao Preto, SP, Brazil

[2] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP, Brazil

关键词: Quasilinear weakly hyperbolic operators;    Levi conditions;    Loss of regularity in the Sobolev scale;    Energy method;   

DOI  :  10.1016/j.jmaa.2009.05.026

来源: Elsevier

【 摘 要 】

In this paper we determine bounds for the optimal loss of regularity in the Sobolev scale for a class of weakly hyperbolic operators. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free