Inverse problem for a nonlinear third order in time partial differential equation

In this article, we study the inverse problem of recovering a time‐dependent coefficient of a nonlinear third order in time partial differential equation (PDE), which is usually referred to as Moore–Gibson–Thompson equation, from knowledge of a one boundary measurement.

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Bibliographic Details
Published inMathematical methods in the applied sciences Vol. 44; no. 11; pp. 9571 - 9581
Main Author Tekin, Ibrahim
Format Journal Article
LanguageEnglish
Published Freiburg Wiley Subscription Services, Inc 30.07.2021
Subjects
existence and uniqueness
Inverse problems
inverse problems for PDEs
Partial differential equations
third order in time PDE
Time dependence
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Summary:In this article, we study the inverse problem of recovering a time‐dependent coefficient of a nonlinear third order in time partial differential equation (PDE), which is usually referred to as Moore–Gibson–Thompson equation, from knowledge of a one boundary measurement.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.7380