Multidimensional inverse Cauchy problems for evolution equations

Mukhtar Karazym; Tohru Ozawa; Durvudkhan Suragan

doi:10.1080/17415977.2020.1739034

Multidimensional inverse Cauchy problems for evolution equations

Mukhtar Karazym, Tohru Ozawa, Durvudkhan Suragan

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

8 Citations (Scopus)

Abstract

We discuss inverse problems to finding the time-dependent coefficient for the multidimensional Cauchy problems for both strictly hyperbolic equations and polyharmonic heat equations. We also extend our techniques to the general inverse Cauchy problems for evolution equations.

Original language	English
Pages (from-to)	1582-1590
Number of pages	9
Journal	Inverse Problems in Science and Engineering
Volume	28
Issue number	11
DOIs	https://doi.org/10.1080/17415977.2020.1739034
Publication status	Accepted/In press - 2020

Keywords

evolution equation
Inverse problem
Poisson integral
polyharmonic heat equation
strictly hyperbolic equation

ASJC Scopus subject areas

General Engineering
Computer Science Applications
Applied Mathematics

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10.1080/17415977.2020.1739034

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title = "Multidimensional inverse Cauchy problems for evolution equations",

abstract = "We discuss inverse problems to finding the time-dependent coefficient for the multidimensional Cauchy problems for both strictly hyperbolic equations and polyharmonic heat equations. We also extend our techniques to the general inverse Cauchy problems for evolution equations.",

keywords = "evolution equation, Inverse problem, Poisson integral, polyharmonic heat equation, strictly hyperbolic equation",

author = "Mukhtar Karazym and Tohru Ozawa and Durvudkhan Suragan",

note = "Funding Information: The authors were supported by the Nazarbayev University program 091019CRP2120. No new data was collected or generated during the course of research. Publisher Copyright: {\textcopyright} 2020 Informa UK Limited, trading as Taylor & Francis Group.",

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AU - Karazym, Mukhtar

AU - Ozawa, Tohru

AU - Suragan, Durvudkhan

N1 - Funding Information: The authors were supported by the Nazarbayev University program 091019CRP2120. No new data was collected or generated during the course of research. Publisher Copyright: © 2020 Informa UK Limited, trading as Taylor & Francis Group.

PY - 2020

Y1 - 2020

N2 - We discuss inverse problems to finding the time-dependent coefficient for the multidimensional Cauchy problems for both strictly hyperbolic equations and polyharmonic heat equations. We also extend our techniques to the general inverse Cauchy problems for evolution equations.

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KW - evolution equation

KW - Inverse problem

KW - Poisson integral

KW - polyharmonic heat equation

KW - strictly hyperbolic equation

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Multidimensional inverse Cauchy problems for evolution equations

Abstract

Keywords

ASJC Scopus subject areas

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