Semilinear p-evolution equations in Sobolev spaces

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:260

Article

Ascanelli, Alessia¹  Boiti, Chiara¹ 

[1] Univ Ferrara, Dipartimento Matemat & Informat, Via Machiavelli 30, I-44121 Ferrara, Italy

关键词: Non-linear evolution equations;    Well-posedness in Sobolev spaces;    Nash-Moser theorem;   

DOI  :  10.1016/j.jde.2016.01.035

来源: Elsevier

【 摘 要 】

We prove local in time well-posedness in Sobolev spaces of the Cauchy problem for semi-linear p-evolution equations of the first order with real principal part, but complex valued coefficients for the lower order terms, assuming decay conditions on the imaginary parts as vertical bar x vertical bar -> infinity. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free