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;

D O I：

暂无

中图分类号：

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.

引用

页码：197 / 242

页数：45

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