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- W2065156924 abstract "It is well known nowadays that a rather general semilinear parabolic equation, governed in a bounded domain by boundary or locally distributed controls, can be made globally approximately controllable in Lp-type spaces, provided the nonlinearity is globally Lipschitz. However, the question whether this property can possibly take place in the superlinear case in several space dimensions seems to be open. The goal of this article is to describe a special class of semilinear heat equations with superlinear terms for which this property indeed holds. Our technique combines the asymptotic method of A. Y. Khapalov (1995, J. Math. Anal. Appl.,194, 858–882) with certain a priori estimates for the corresponding truncated spectral problem." @default.
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- W2065156924 date "2000-02-01" @default.
- W2065156924 modified "2023-10-14" @default.
- W2065156924 title "A Class of Globally Controllable Semilinear Heat Equations with Superlinear Terms" @default.
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- W2065156924 doi "https://doi.org/10.1006/jmaa.1999.6669" @default.
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