Null boundary controllability for semilinear heat equations

Yung-Jen Lin, W. Littman

Research output: Contribution to journalArticle

21 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 languageEnglish
Pages (from-to)281-316
Number of pages36
JournalApplied Mathematics & Optimization
Volume32
Issue number3
DOIs
Publication statusPublished - 1995 Nov 1

Fingerprint

Semilinear Heat Equation
Controllability
Null
Cauchy's integral theorem
Semilinear Equations
Hot Temperature

Keywords

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

ASJC Scopus subject areas

  • Control and Optimization
  • Applied Mathematics

Cite this

Null boundary controllability for semilinear heat equations. / Lin, Yung-Jen; Littman, W.

In: Applied Mathematics & Optimization, Vol. 32, No. 3, 01.11.1995, p. 281-316.

Research output: Contribution to journalArticle

@article{bb1043c0c2bc4f278dbee06a73d77f99,
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 = "Yung-Jen Lin and W. Littman",
year = "1995",
month = "11",
day = "1",
doi = "10.1007/BF01187903",
language = "English",
volume = "32",
pages = "281--316",
journal = "Applied Mathematics and Optimization",
issn = "0095-4616",
publisher = "Springer New York",
number = "3",

}

TY - JOUR

T1 - Null boundary controllability for semilinear heat equations

AU - Lin, Yung-Jen

AU - Littman, W.

PY - 1995/11/1

Y1 - 1995/11/1

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

UR - http://www.scopus.com/inward/record.url?scp=0000210525&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000210525&partnerID=8YFLogxK

U2 - 10.1007/BF01187903

DO - 10.1007/BF01187903

M3 - Article

AN - SCOPUS:0000210525

VL - 32

SP - 281

EP - 316

JO - Applied Mathematics and Optimization

JF - Applied Mathematics and Optimization

SN - 0095-4616

IS - 3

ER -