A second-order Cauchy problem in a scale of Banach spaces and application to Kirchhoff equations

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:206

Article

Huy, NB ; Sum, NA ; Tuan, NA

关键词: Cauchy problem;    scale of Banach spaces;    Gevrey class;    Kirchhoff equations;   

DOI  :  10.1016/j.jde.2004.05.016

来源: Elsevier

【 摘 要 】

In a scale of Banach spaces we study the Cauchy problem for the equation u = A(Bu(t), u), where A is a bilinear operator and B is a completely continuous operator. Obtained results are applied to prove existence of solutions in the Gevrey class for Kirchhoff equations. (C) 2004 Elsevier Inc. All rights reserved.

【 授权许可】

Free