Global existence and stability for an inverse coefficient problem for a semilinear parabolic equation

DOI10.1007/S00013-011-0329-ZzbMath1231.35298OpenAlexW2158253943MaRDI QIDQ658319

Masahiro Yamamoto, Mourad Choulli

Publication date: 12 January 2012

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-011-0329-z

zbMATH Keywords

stabilityintegral equationuniquenesssemilinear parabolic equationglobal existenceinverse coefficient problemlaser material treatments

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Semilinear parabolic equations (35K58) Nonlinear integral equations (45Gxx)

Related Items (5)

Error estimates for the full discretization of a semilinear parabolic problem with an unknown source ⋮ An Inverse Conductivity Problem in Multifrequency Electric Impedance Tomography ⋮ Logarithmic stability in determining the time-dependent zero order coefficient in a parabolic equation from a partial Dirichlet-to-Neumann map. application to the determination of a nonlinear term ⋮ The unique continuation property for second order evolution PDEs ⋮ Hölder stability for an inverse medium problem with internal data

Cites Work

• On the abstract Cauchy problem of parabolic type in spaces of continuous functions
• On an inverse problem related to laser material treatments
• Generation of Analytic Semigroups by Strongly Elliptic Operators Under General Boundary Conditions
• Generation of Analytic Semigroups by Strongly Elliptic Operators

This page was built for publication: Global existence and stability for an inverse coefficient problem for a semilinear parabolic equation