On local solvability of a class of abstract underdetermined systems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:451

Article

Yamaoka, Luis¹ 

[1] Univ Fed Sao Paulo, Rua Angelica 100, BR-06110295 Sao Paulo, Brazil

关键词: Solvability;    Regularity;    Underdetermined system;   

DOI  :  10.1016/j.jmaa.2017.01.067

来源: Elsevier

【 摘 要 】

In this work we present a necessary and sufficient condition for a class of abstract underdetermined systems to be solvable. We develop J. F. Treves' ideas, presenting the so called condition (psi) and its connection with the study of the solvability in consideration. We also prove the existence of finite order regularity solutions. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free