On regularization and error estimates for non-homogeneous backward Cauchy problem

DOI10.1016/J.AJMSC.2012.03.002zbMath1248.35229OpenAlexW2054667759MaRDI QIDQ442171

J. Herrera, H. S. Yoon

Publication date: 10 August 2012

Published in: Arab Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ajmsc.2012.03.002

zbMATH Keywords

ill-posed problemBessel operatorbackward Cauchy problemfinal value problemnon-homogeneous heat equationquasi-boundary value method

Mathematics Subject Classification ID

Heat equation (35K05) Ill-posed problems for PDEs (35R25)

Related Items (1)

Quasi-boundary value methods for regularizing the backward parabolic equation under the optimal control framework

Cites Work

• A modified quasi-boundary value method for ill-posed problems
• Continuous dependence results for inhomogeneous ill-posed problems in Banach space
• An approximate solution for nonlinear backward parabolic equations
• The final value problem for evolution equations
• Initial inverse problem in heat equation with Bessel operator
• Zur Regularisierung einer Klasse nichtkorrekter Probleme bei Evolutionsgleichungen. (On the regularization of a certain class of improperly posed problems for evolution equations)
• Error Bounds in the Final Value Problem for the Heat Equation
• The Abstract Backward Beam Equation
• Inverse problems for partial differential equations
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