Null Controllability for the Dissipative Semilinear Heat Equation

被引：0

作者：

机构：

[1] Facultatea de Mathematica,

[2] Universitatea ``Al.I.Cuza'',undefined

[3] Iasi,undefined

[4] Romania ,undefined

[5] Department of Mathematics,undefined

[6] University of California,undefined

[7] Berkeley,undefined

[8] CA 94720,undefined

[9] USA tataru@math.berkeley.edu,undefined

来源：

Applied Mathematics & Optimization | 2002年 / 46卷

关键词：

Key words. Null controllability, Heat equation, Nonlinear parabolic equation. AMS Classification. 93B05, 35K05, 35K60.;

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摘要：

Abstract. We consider the exact null controllability problem for the semi- linear heat equation with dissipative nonlinearity in a bounded domain of Rn . The main result of the article asserts that if the nonlinearity is even mildly superlinear, then global null controllability in an arbitrarily short time fails; instead we provide sharp estimates for the controllability time in terms of the size of the initial data.

引用

页码：97 / 105

页数：8