Analyticity of solutions of semi-linear equations with double characteristics

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:337

Article

Hien, V. T. T.¹  Tri, N. M.¹ 

[1] Inst Math, Hanoi 10307, Vietnam

关键词: analyticity of solutions;    hypoellipticity;    semilinear differential equations;   

DOI  :  10.1016/j.jmaa.2007.04.046

来源: Elsevier

【 摘 要 】

We prove the analyticity and Gevrey regularity of solutions of elliptic degenerate semi-linear differential equations principle part of which is a linear operator with double characteristics considered first by Gilioli and Treves. A new elementary proof for hypoellipticity in the weak sense is given. (c) 2007 Elsevier Inc. All rights reserved.

【 授权许可】

Free