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

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

1 Citation (Scopus)

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
Pages (from-to)	4965-4969
Number of pages	5
Journal	Applicable Analysis
Volume	101
Issue number	14
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

Access to Document

10.1080/00036811.2021.1877679

Cite this

@article{21ae11e8470f42908a53f2c23e89dadb,

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",

year = "2021",

doi = "10.1080/00036811.2021.1877679",

language = "English",

volume = "101",

pages = "4965--4969",

journal = "Applicable Analysis",

issn = "0003-6811",

publisher = "Taylor and Francis",

number = "14",

}

TY - JOUR

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

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

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

U2 - 10.1080/00036811.2021.1877679

DO - 10.1080/00036811.2021.1877679

M3 - Article

AN - SCOPUS:85100256388

SN - 0003-6811

VL - 101

SP - 4965

EP - 4969

JO - Applicable Analysis

JF - Applicable Analysis

IS - 14

ER -

Inverse abstract Cauchy problems

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this