Controllability results for a class of one dimensional degenerate/singular parabolic equations

Morteza Fotouhi; Leila Salimi

doi:10.3934/cpaa.2013.12.1415

Controllability results for a class of one dimensional degenerate/singular parabolic equations

Morteza Fotouhi, Leila Salimi

Research output: Journal Publication › Article › peer-review

18 Citations (Scopus)

Abstract

We study the null controllability properties of some degenerate/singular parabolic equations in a bounded interval of ℝ. For this reason we derive a new Carleman estimate whose proof is based on Hardy inequalities.

Original language	English
Pages (from-to)	1415-1430
Number of pages	16
Journal	Communications on Pure and Applied Analysis
Volume	12
Issue number	3
DOIs	https://doi.org/10.3934/cpaa.2013.12.1415
Publication status	Published - May 2013
Externally published	Yes

Keywords

Carleman estimate
Degenerate parabolic equations
Hardy inequality
Null controllability
Singular potential

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.3934/cpaa.2013.12.1415

Cite this

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title = "Controllability results for a class of one dimensional degenerate/singular parabolic equations",

abstract = "We study the null controllability properties of some degenerate/singular parabolic equations in a bounded interval of ℝ. For this reason we derive a new Carleman estimate whose proof is based on Hardy inequalities.",

keywords = "Carleman estimate, Degenerate parabolic equations, Hardy inequality, Null controllability, Singular potential",

author = "Morteza Fotouhi and Leila Salimi",

year = "2013",

month = may,

doi = "10.3934/cpaa.2013.12.1415",

language = "English",

volume = "12",

pages = "1415--1430",

journal = "Communications on Pure and Applied Analysis",

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T1 - Controllability results for a class of one dimensional degenerate/singular parabolic equations

AU - Fotouhi, Morteza

AU - Salimi, Leila

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N2 - We study the null controllability properties of some degenerate/singular parabolic equations in a bounded interval of ℝ. For this reason we derive a new Carleman estimate whose proof is based on Hardy inequalities.

AB - We study the null controllability properties of some degenerate/singular parabolic equations in a bounded interval of ℝ. For this reason we derive a new Carleman estimate whose proof is based on Hardy inequalities.

KW - Carleman estimate

KW - Degenerate parabolic equations

KW - Hardy inequality

KW - Null controllability

KW - Singular potential

UR - https://www.scopus.com/pages/publications/84873308823

U2 - 10.3934/cpaa.2013.12.1415

DO - 10.3934/cpaa.2013.12.1415

M3 - Article

AN - SCOPUS:84873308823

SN - 1534-0392

VL - 12

SP - 1415

EP - 1430

JO - Communications on Pure and Applied Analysis

JF - Communications on Pure and Applied Analysis

IS - 3

ER -

Controllability results for a class of one dimensional degenerate/singular parabolic equations

Abstract

Keywords

ASJC Scopus subject areas

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