The application of the method of quasi-reversibility to the sideways heat equation

DOI10.1006/JMAA.1999.6462zbMath0994.35009OpenAlexW1977587408MaRDI QIDQ1304697

V. Pereyra

Publication date: 25 September 2002

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

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6462

zbMATH Keywords

sideways Cauchy problemwell-posed approximations

Mathematics Subject Classification ID

Heat equation (35K05) Ill-posed problems for PDEs (35R25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Theoretical approximation in context of PDEs (35A35)

Related Items (9)

A modified regularization method for an inverse heat conduction problem with only boundary value ⋮ Convergence of an Alternating Method to Solve the Cauchy Problem for Poisson's Equation ⋮ Finding unknown heat source in a nonlinear Cauchy problem by the Lie-group differential algebraic equations method ⋮ A Source Identification Problem in a Bi-parabolic Equation: Convergence Rates and Some Optimal Results ⋮ On complex-valued 2D eikonals. IV: continuation past a caustic ⋮ A quasi-reversibility regularization method for an inverse heat conduction problem without initial data ⋮ A spring-damping regularization of the Fourier sine series solution to the inverse Cauchy problem for a 3D sideways heat equation ⋮ Identifying an unknown source term in a heat equation ⋮ The quasi-reversibility method for an inverse source problem for time-space fractional parabolic equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A direct numerical procedure for the Cauchy problem for the heat equation
• Improved Stability Estimates for Classes of Illposed Cauchy Problems
• Continuous dependence of nonnegative solutions of the heat equation on noncharacteristic cauchy data
• The Cauchy Problem for the Heat Equation
• On the Cauchy Problem for the One-Dimensional Heat Equation

This page was built for publication: The application of the method of quasi-reversibility to the sideways heat equation