Null Controllability for the Dissipative Semilinear Heat Equation

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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.
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页码：97 / 105
页数：8
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