Truncated spectral regularization for an ill-posed nonhomogeneous parabolic problem

DOI10.1016/J.JMAA.2016.01.069zbMath1382.35144OpenAlexW2264419170MaRDI QIDQ5962954

Ajoy Jana, M. Thamban Nair

Publication date: 25 February 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.01.069

zbMATH Keywords

regularizationsemigroupparabolic equationsill-posed problemsparameter choice

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Abstract parabolic equations (35K90) One-parameter semigroups and linear evolution equations (47D06) Ill-posed problems for PDEs (35R25)

Related Items (5)

Quasi-Reversibility Method for an Ill-Posed Nonhomogeneous Parabolic Problem ⋮ On truncated spectral regularization for an ill-posed evolution equation ⋮ A truncated spectral regularization method for a source identification problem ⋮ Truncated spectral regularization for an ill-posed non-linear parabolic problem ⋮ On the backward problem for parabolic equations with memory

Cites Work

• A modified quasi-boundary value method for ill-posed problems
• Semigroups of linear operators and applications to partial differential equations
• The final value problem for evolution equations
• A modified quasi-boundary value method for a class of abstract parabolic ill-posed problems
• A simple regularization method for the ill-posed evolution equation
• Inverse problems for partial differential equations
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