Inverse abstract Cauchy problems

Tohru Ozawa; Joel E. Restrepo; Durvudkhan Suragan

doi:10.1080/00036811.2021.1877679

Inverse abstract Cauchy problems

Tohru Ozawa, Joel E. Restrepo, Durvudkhan Suragan^*

^*Corresponding author for this work

School of Advanced Science and Engineering

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

Abstract

We consider direct and inverse abstract Cauchy problems with time-dependent coefficients. We give an explicit representation of the unique solution operator of the direct abstract Cauchy problem. We use the obtained solution and a new method to recover time-dependent coefficients for the inverse abstract Cauchy problem.

Original language	English
Journal	Applicable Analysis
DOIs	https://doi.org/10.1080/00036811.2021.1877679
Publication status	Accepted/In press - 2021

Keywords

Abstract Cauchy problem
direct problem
inverse problem
variable coefficient

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1080/00036811.2021.1877679

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title = "Inverse abstract Cauchy problems",

abstract = "We consider direct and inverse abstract Cauchy problems with time-dependent coefficients. We give an explicit representation of the unique solution operator of the direct abstract Cauchy problem. We use the obtained solution and a new method to recover time-dependent coefficients for the inverse abstract Cauchy problem.",

keywords = "Abstract Cauchy problem, direct problem, inverse problem, variable coefficient",

author = "Tohru Ozawa and Restrepo, {Joel E.} and Durvudkhan Suragan",

note = "Publisher Copyright: {\textcopyright} 2021 Informa UK Limited, trading as Taylor & Francis Group.",

year = "2021",

doi = "10.1080/00036811.2021.1877679",

language = "English",

journal = "Applicable Analysis",

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T1 - Inverse abstract Cauchy problems

AU - Ozawa, Tohru

AU - Restrepo, Joel E.

AU - Suragan, Durvudkhan

PY - 2021

Y1 - 2021

N2 - We consider direct and inverse abstract Cauchy problems with time-dependent coefficients. We give an explicit representation of the unique solution operator of the direct abstract Cauchy problem. We use the obtained solution and a new method to recover time-dependent coefficients for the inverse abstract Cauchy problem.

AB - We consider direct and inverse abstract Cauchy problems with time-dependent coefficients. We give an explicit representation of the unique solution operator of the direct abstract Cauchy problem. We use the obtained solution and a new method to recover time-dependent coefficients for the inverse abstract Cauchy problem.

KW - Abstract Cauchy problem

KW - direct problem

KW - inverse problem

KW - variable coefficient

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UR - http://www.scopus.com/inward/citedby.url?scp=85100256388&partnerID=8YFLogxK

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DO - 10.1080/00036811.2021.1877679

M3 - Article

AN - SCOPUS:85100256388

SN - 0003-6811

JO - Applicable Analysis

JF - Applicable Analysis

ER -

Inverse abstract Cauchy problems

Abstract

Keywords

ASJC Scopus subject areas

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