On a nonstandard problem for heat conduction in a cylinder

DOI10.1080/00036810310001620108zbMath1052.35066OpenAlexW2093953650WikidataQ58136764 ScholiaQ58136764MaRDI QIDQ4825436

Lawrence E. Payne, Karen A. Ames, Philip W. Schaefer

Publication date: 28 October 2004

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

Full work available at URL: https://doi.org/10.1080/00036810310001620108

zbMATH Keywords

energy and pointwise decay boundsstabilizing the backward-in-time problem

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (12)

Improved bounds for some nonstandard problems in generalized heat conduction ⋮ Uniqueness and existence theorems in thermoelasticity with voids without energy dissipation ⋮ On the final boundary value problems in linear thermoelasticity ⋮ On uniqueness for a family of nonstandard problems ⋮ Spatial behavior for some non-standard problems in linear thermoelasticity without energy dissipation ⋮ Energy bounds for some non-standard problems in thermoelasticity ⋮ Bounds for some non-standard problems in porous flow and viscous Green–Naghdi fluids ⋮ A note on a non-standard problem for an equation with a delay term ⋮ Energy bounds in nonstandard problems for parabolic systems ⋮ AN ILL-POSED PROBLEM FOR THE HEAT EQUATION ⋮ A note on semigroup arguments in nonstandard problems ⋮ On two classes of nonstandard parabolic problems

Cites Work

• Sur la frequence fondamentale d'une membrane vibrante: evaluations par defaut et principe de maximum
• Continuous dependence on modeling for some well-posed perturbations of the backward heat equation
• Energy bounds for some nonstandard problems in partial differential equations.
• Spatial decay estimates in transient heat conduction
• Decay estimates for the constrained elastic cylinder of variable cross section
• ASYMPTOTIC BEHAVIOR FOR TWO REGULARIZATIONS OF THE CAUCHY PROBLEM FOR THE BACKWARD HEAT EQUATION
• On the Spatial Decay of Solutions to a Quasi-Linear Parabolic Initial-Boundary Value Problem and Their Derivatives

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