On optimal regularization methods for the backward heat equation

DOI10.4171/ZAA/711zbMath0848.65044OpenAlexW1976072569MaRDI QIDQ1915228

T. Schröter, Ulrich Tautenhahn

Publication date: 27 October 1996

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/711

zbMATH Keywords

Hilbert spaceregularization methodsoperator equationparameter choicebackward heat equationabstract heat equationoptimal error boundsmethod of asymptotical regularizationmethod of Tikhonov regularizationquasireversibility methods

Mathematics Subject Classification ID

Heat equation (35K05) Ill-posed problems for PDEs (35R25) Numerical solutions to equations with linear operators (65J10) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Linear differential equations in abstract spaces (34G10) Initial value problems for linear higher-order PDEs (35G10) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Higher-order parabolic equations (35K25) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

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Cites Work

• On the optimality of methods for ill-posed problems
• Regularization methods for large-scale problems
• On the optimality of regularization methods for solving linear ill-posed problems
• On a minimax equality for seminorms
• Optimal Estimation of Linear Operators in Hilbert Spaces from Inaccurate Data
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