On truncated spectral regularization for an ill-posed evolution equation

DOI10.1007/s12044-021-00632-9zbMath1479.35933arXiv1907.11076OpenAlexW3207728784MaRDI QIDQ2052864

M. Thamban Nair

Publication date: 29 November 2021

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.11076

zbMATH Keywords

ill-posed problemslinear evolution equationssemigroup regularization

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) One-parameter semigroups and linear evolution equations (47D06) Fixed-point theorems (47H10) Ill-posed problems for PDEs (35R25) Nonlinear ill-posed problems (47J06)

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Lavrentiev regularization for linear ill-posed problems under general source conditions
• A simple regularization method for the ill-posed evolution equation
• Truncated spectral regularization for an ill-posed nonhomogeneous parabolic problem
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