Improved Stability Estimates for Classes of Illposed Cauchy Problems

DOI10.1080/00036818508839534zbMath0563.35080OpenAlexW2049481572WikidataQ58242736 ScholiaQ58242736MaRDI QIDQ3676572

Lawrence E. Payne

Publication date: 1985

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818508839534

zbMATH Keywords

stability estimatesweighted energyHölder continuous dependenceillposed Cauchy problems

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Ill-posed problems for PDEs (35R25) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (7)

Stabilization of ill-posed Cauchy problems for parabolic equations ⋮ Error estimates for the temperature of a piece of cold ice, given data on only part of the boundary ⋮ Continuous dependence on the source parameters for convective motion in porous media ⋮ On complex-valued 2D eikonals. IV: continuation past a caustic ⋮ A regularization method for solving the Cauchy problem for the Helmholtz equation ⋮ On a radially symmetric inverse heat conduction problem ⋮ The application of the method of quasi-reversibility to the sideways heat equation

Cites Work

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• Uniqueness and continuous dependence for the equations of elastodynamics without strain energy function
• The Noncharacteristic Cauchy Problem for a Class of Equations with Time Dependence. I. Problems in One Space Dimension
• The Noncharacteristic Cauchy Problem for a Class of Equations with Time Dependence. II. Multidimensional Problems
• The Numerical Solution of Some Biharmonic Problems by Mathematical Programming Techniques

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