Null boundary controllability for semilinear heat equations

Yung Jen Lin Guo; W. Littman

doi:10.1007/BF01187903

Null boundary controllability for semilinear heat equations

Yung Jen Lin Guo^*, W. Littman

^*此作品的通信作者

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

23 引文斯高帕斯（Scopus）

摘要

We consider null boundary controllability for one-dimensional semilinear heat equations. We obtain null boundary controllability results for semilinear equations when the initial data is bounded continuous and sufficiently small. In this work we also prove a version of the nonlinear Cauchy-Kowalevski theorem.

原文	英語
頁（從 - 到）	281-316
頁數	36
期刊	Applied Mathematics & Optimization
卷	32
發行號	3
DOIs	https://doi.org/10.1007/BF01187903
出版狀態	已發佈 - 1995 十一月
對外發佈	是

ASJC Scopus subject areas

控制和優化
應用數學

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10.1007/BF01187903

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title = "Null boundary controllability for semilinear heat equations",

abstract = "We consider null boundary controllability for one-dimensional semilinear heat equations. We obtain null boundary controllability results for semilinear equations when the initial data is bounded continuous and sufficiently small. In this work we also prove a version of the nonlinear Cauchy-Kowalevski theorem.",

keywords = "AMS classification: Primary 35A10, 35K55, 35K60, 93C10, 93C20, Boundary control, Nonlinear, Parabolic, Semilinear",

author = "{Lin Guo}, {Yung Jen} and W. Littman",

year = "1995",

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AU - Littman, W.

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AB - We consider null boundary controllability for one-dimensional semilinear heat equations. We obtain null boundary controllability results for semilinear equations when the initial data is bounded continuous and sufficiently small. In this work we also prove a version of the nonlinear Cauchy-Kowalevski theorem.

KW - AMS classification: Primary 35A10, 35K55, 35K60, 93C10, 93C20

KW - Boundary control

KW - Nonlinear

KW - Parabolic

KW - Semilinear

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Null boundary controllability for semilinear heat equations

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