ANALYTICITY OF SOLUTIONS TO PARABOLIC EVOLUTIONS AND APPLICATIONS

被引：32

作者：

Escauriaza, Luis ^{[1
]}

Montaner, Santiago ^{[1
,2
]}

Zhang, Can ^{[1
,3
]}

机构：

[1] Univ Pais Vasco Euskal Herriko Unibertsitatea, Dept Matemat, Bilbao 48080, Spain

[2] BCAM, Mazarrero,14, Bilbao 48009, Spain

[3] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2017年 / 49卷 / 05期

基金：

中国国家自然科学基金;

关键词：

analyticity; observability; bang-bang property; PARTIAL DIFFERENTIAL EQUATIONS; TIME-OPTIMAL CONTROL; MEASURABLE SETS; HEAT-EQUATION; OBSERVABILITY ESTIMATE; UNIQUE CONTINUATION; SYSTEMS; CONTROLLABILITY; INEQUALITIES; COEFFICIENTS;

D O I：

10.1137/15M1039705

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We find new quantitative estimates on the space-time analyticity of solutions to linear parabolic equations with analytic coefficients near the initial time. We apply the estimates to obtain observability inequalities and null-controllability of parabolic evolutions over measurable sets.

引用

页码：4064 / 4092

页数：29

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