Stabilized approximate solutions of the inverse time problem for a parabolic evolution equation

DOI10.1016/0022-247X(85)90207-0zbMath0631.47030MaRDI QIDQ1094654

Dang Dinh Ang

Publication date: 1985

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

zbMATH Keywords

differential equationquasi-solutionone-parameter familyparabolic evolution equation\(C_ 0\) semigroupinverse time problemself-adjoint bounded linear operatorstabilized approximate solutions

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Groups and semigroups of linear operators (47D03) General theory of ordinary differential operators (47E05) Linear differential equations in abstract spaces (34G10)

Related Items

A backward nonlinear heat equation: regularization with error estimates

Cites Work

• Zur Regularisierung einer Klasse nichtkorrekter Probleme bei Evolutionsgleichungen. (On the regularization of a certain class of improperly posed problems for evolution equations)
• The construction of solutions to the heat equation backward in time
• The Approximation of Certain Parabolic Equations Backward in Time by Sobolev Equations
• Pseudoparabolic Partial Differential Equations
• Properties of solutions of ordinary differential equations in banach space
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