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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

31 Citations (Scopus)

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.

Original language	English
Pages (from-to)	281-316
Number of pages	36
Journal	Applied Mathematics & Optimization
Volume	32
Issue number	3
DOIs	https://doi.org/10.1007/BF01187903
Publication status	Published - 1995 Nov
Externally published	Yes

Keywords

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

ASJC Scopus subject areas

Control and Optimization
Applied Mathematics

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10.1007/BF01187903

Cite this

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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",

month = nov,

doi = "10.1007/BF01187903",

language = "English",

volume = "32",

pages = "281--316",

journal = "Applied Mathematics & Optimization",

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publisher = "Springer New York",

number = "3",

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T1 - Null boundary controllability for semilinear heat equations

AU - Lin Guo, Yung Jen

AU - Littman, W.

PY - 1995/11

Y1 - 1995/11

N2 - 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.

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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DO - 10.1007/BF01187903

M3 - Article

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SN - 0095-4616

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EP - 316

JO - Applied Mathematics & Optimization

JF - Applied Mathematics & Optimization

IS - 3

ER -

Null boundary controllability for semilinear heat equations

Abstract

Keywords

ASJC Scopus subject areas

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