Analytic semigroups of pseudodifferential operators on vector-valued Sobolev spaces

被引：0
|
作者：
B. Barraza Martínez
R. Denk
J. Hernández Monzón
机构：
[1] Universidad del Norte,Departamento de Matemáticas
[2] Universität Konstanz,Fachbereich für Mathematik und Statistik
[3] Universidad del Norte,Departamento de Matemáticas
来源：
Bulletin of the Brazilian Mathematical Society, New Series | 2014年 / 45卷
关键词：
pseudodifferential operators; vector-valued Sobolev spaces; generation of analytic semigroup; 35S05; 47D06; 35R20;
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学科分类号：
摘要：
In this paper we study continuity and invertibility of pseudodifferential operators with non-regular Banach space valued symbols. The corresponding pseudodifferential operators generate analytic semigroups on the Sobolev spaces Wpk (ℝn, E) with k ∈ ℕ0, 1 ≤ p ≤ ∞. Here E is an arbitrary Banach space. We also apply the theory to solve non-autonomous parabolic pseudodifferential equations in Sobolev spaces.
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页码：197 / 242
页数：45
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