Continuous dependence on modeling for related Cauchy problems of a class of evolution equations

DOI10.1006/jmaa.1997.5597zbMath0905.35010OpenAlexW2039569545MaRDI QIDQ1378583

Shannon S. Cobb, Karen A. Ames

Publication date: 9 February 1998

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

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5597

zbMATH Keywords

abstract evolution equationsnonlinear differential inequality

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Singular perturbations in context of PDEs (35B25) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (4)

SPATIAL DECAY FOR SOLUTIONS OF CAUCHY PROBLEMS FOR PERTURBED HEAT EQUATIONS ⋮ A quasi-boundary value regularization method for determining the heat source ⋮ Continuous dependence results for inhomogeneous ill-posed problems in Banach space ⋮ A quasi-boundary value regularization method for identifying an unknown source in the Poisson equation

Cites Work

• Continuous dependence on the relaxation time and modelling, and unbounded growth, in theories of heat conduction with finite propagation speeds
• On singular perturbation in non well posed problems
• Logarithmic convexity and the Cauchy problem for some abstract second order differential inequalities
• Error estimates for the temperature of a piece of cold ice, given data on only part of the boundary
• On the Comparison of Solutions of Related Properly and Improperly Posed Cauchy Problems for First Order Operator Equations
• Continuous dependence on the source parameters for convective motion in porous media
• DECAY AND OTHER ESTIMATES FOR AN ELASTIC CYLINDER
• Spatial decay estimates and continuous dependence on modelling for an equation from dynamo theory
• Singular Perturbation of an Improperly Posed Problem
• Singular Perturbation of an Improperly Posed Cauchy Problem
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