Identifying an unknown source term of a parabolic equation in Banach spaces

Nguyen Van Duc; Nguyen Van Thang; Luong Duy Nhat Minh; Nguyen Trung Thành

doi:10.1080/00036811.2020.1800650

Identifying an unknown source term of a parabolic equation in Banach spaces

Nguyen Van Duc, Nguyen Van Thang, Luong Duy Nhat Minh, Nguyen Trung Thành

Mathematics

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

5 Scopus citations

Abstract

A new regularization method for an inverse source problem for a parabolic equation in a Banach space is proposed. Hölder-type error estimates for the regularized solutions are proved for both a priori and a posteriori regularization parameter choice rules. Some numerical examples are presented for illustrating the efficiency of the method.

Original language	English (US)
Pages (from-to)	2066-2084
Number of pages	19
Journal	Applicable Analysis
Volume	101
Issue number	6
DOIs	https://doi.org/10.1080/00036811.2020.1800650
State	Published - 2022

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1080/00036811.2020.1800650

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title = "Identifying an unknown source term of a parabolic equation in Banach spaces",

abstract = "A new regularization method for an inverse source problem for a parabolic equation in a Banach space is proposed. H{\"o}lder-type error estimates for the regularized solutions are proved for both a priori and a posteriori regularization parameter choice rules. Some numerical examples are presented for illustrating the efficiency of the method.",

author = "{Van Duc}, Nguyen and {Van Thang}, Nguyen and {Nhat Minh}, {Luong Duy} and {Trung Th{\`a}nh}, Nguyen",

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T1 - Identifying an unknown source term of a parabolic equation in Banach spaces

AU - Van Duc, Nguyen

AU - Van Thang, Nguyen

AU - Nhat Minh, Luong Duy

AU - Trung Thành, Nguyen

PY - 2022

Y1 - 2022

N2 - A new regularization method for an inverse source problem for a parabolic equation in a Banach space is proposed. Hölder-type error estimates for the regularized solutions are proved for both a priori and a posteriori regularization parameter choice rules. Some numerical examples are presented for illustrating the efficiency of the method.

AB - A new regularization method for an inverse source problem for a parabolic equation in a Banach space is proposed. Hölder-type error estimates for the regularized solutions are proved for both a priori and a posteriori regularization parameter choice rules. Some numerical examples are presented for illustrating the efficiency of the method.

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U2 - 10.1080/00036811.2020.1800650

DO - 10.1080/00036811.2020.1800650

M3 - Article

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SP - 2066

EP - 2084

JO - Applicable Analysis

JF - Applicable Analysis

IS - 6

ER -

Identifying an unknown source term of a parabolic equation in Banach spaces

Abstract

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