Linear parabolic equations in locally uniform spaces

被引：68

作者：

Arrieta, JM ^{[1
]}

Rodriguez-Bernal, A

Cholewa, JW

Dlotko, T

机构：

[1] Univ Complutense Madrid, Dept Matemat Aplicada, Madrid 28040, Spain

[2] Silesian Univ, Inst Math, PL-40007 Katowice, Poland

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2004年 / 14卷 / 02期

关键词：

uniform spaces; heat equation; Schrodinger semigroup; analytic semigroups; Lp - L-q estimates; regularizing effect; exponential type;

D O I：

10.1142/S0218202504003234

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We analyze the linear theory of parabolic equations in uniform spaces. We obtain sharp L-p - L-q-type estimates in uniform spaces for heat and Schrodinger semigroups and analyze the regularizing effect and the exponential type of these semigroups. We also deal with general second-order elliptic operators and study the generation of analytic semigoups in uniform spaces.

引用

页码：253 / 293

页数：41

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