On approximation of inverse problems for abstract elliptic problems

DOI10.1515/JIIP.2009.045zbMath1195.65159OpenAlexW2050115198MaRDI QIDQ3654430

Dmitry Orlovsky, Serguei Piskarev

Publication date: 6 January 2010

Published in: Journal of Inverse and Ill-posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip.2009.045

zbMATH Keywords

Banach spacesinverse problemwell-posednessdifference schemessemidiscretizationdiscrete semigroupsabstract elliptic problemabstract differential equationsoverdeterminationcompact convergence of resolventsgeneral approximation schemeanalytic \(C_0\)-semigroups

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Inverse problems for PDEs (35R30) Linear differential equations in abstract spaces (34G10) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Numerical solution to inverse problems in abstract spaces (65J22) Method of lines for boundary value problems involving PDEs (65N40)

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Cites Work

• Approximative methods for nonlinear equations (two approaches to the convergence problem)
• On approximation of inverse problem for abstract parabolic differential equations in Banach spaces
• On Well-Posedness of Difference Schemes for Abstract Elliptic Problems in L^p([0, T;E) Spaces]

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