Recovery of Nonlinear Terms for Reaction Diffusion Equations from Boundary Measurements

In the present article we study the inverse problem of determining a general semilinear term for a class of nonlinear parabolic equations. We derive a new criterion for the unique and stable recovery of general semilinear terms for these type of equations from the knowledge of the parabolic Dirichle...

Full description

Saved in:
Bibliographic Details
Published inArchive for rational mechanics and analysis Vol. 247; no. 1; p. 6
Main Authors Kian, Yavar, Uhlmann, Gunther
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2023
Springer Nature B.V
Springer Verlag
Subjects
Boundary value problems
Classical Mechanics
Complex Systems
Digital Object Identifier
Dirichlet problem
Fluid- and Aerodynamics
Inverse problems
Mathematical analysis
Mathematical and Computational Physics
Mathematics
Physics
Physics and Astronomy
Reaction-diffusion equations
Recovery
Theoretical
Mathematics subject classification 2010 : 35R30 35J25 35J61 35K20 35K58
35K20
35K58
35J61
Mathematics subject classification 2010 : 35R30
35J25
Online AccessGet full text

Cover

More Information
Summary:In the present article we study the inverse problem of determining a general semilinear term for a class of nonlinear parabolic equations. We derive a new criterion for the unique and stable recovery of general semilinear terms for these type of equations from the knowledge of the parabolic Dirichlet-to-Neumann map associated with solutions of the equation having zero initial data.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0003-9527
1432-0673
DOI:10.1007/s00205-022-01831-y