Semilinear pseudodifferential equations in spaces of tempered ultradistributions

被引：6

作者：

Cappiello, Marco ^{[1
]}

Pilipovic, Stevan ^{[2
]}

Prangoski, Bojan ^{[3
]}

机构：

[1] Univ Turin, Dipartimento Matemat, Via Carlo Alberto 10, I-10123 Turin, Italy

[2] Univ Novi Sad, Fac Sci, Dept Math & Informat, Novi Sad 21000, Serbia

[3] Univ Ss Cyril & Methodius, Dept Math, Fac Mech Engn, Skopje, Macedonia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 442卷 / 01期

关键词：

Tempered ultradistributions; Pseudodifferential operators; Semilinear equations; EXPONENTIAL DECAY; HOLOMORPHIC EXTENSIONS; REGULARITY; OPERATORS; THEOREMS;

D O I：

10.1016/j.jmaa.2016.04.063

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a class of semilinear elliptic equations on spaces of temperedultradistributions of Beurling and Roumieu type. Assuming that the linear part of the equation is a pseudodifferential operator of infinite order satisfying a suitable ellipticity condition we prove a regularity result in the functional setting above for weak Sobolev type solutions. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：317 / 338

页数：22

共 25 条

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