Spatial bounds and growth estimates for the heat equation with three relaxation times

DOI<1335::AID-MMA918>3.0.CO;2-9 10.1002/(SICI)1099-1476(199710)20:15<1335::AID-MMA918>3.0.CO;2-9zbMath0887.35094OpenAlexW2075128410MaRDI QIDQ4361510

Ramón Quintanilla

Publication date: 25 May 1998

Full work available at URL: https://doi.org/10.1002/(sici)1099-1476(199710)20:15<1335::aid-mma918>3.0.co;2-9

zbMATH Keywords

semi-infinite cylinderspatial estimates

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (1)

Exponential stability in the dual-phase-lag heat conduction theory

Cites Work

• A heat conduction equation with three relaxation times. Particular solutions
• A model of continuous, thermoelastic media within the frame of extended thermodynamics
• Continuous dependence on the relaxation time and modelling, and unbounded growth, in theories of heat conduction with finite propagation speeds
• ON THE SPATIAL DECAY OF ILL-POSED PARABOLIC PROBLEMS
• Decay estimates for the constrained elastic cylinder of variable cross section
• Spatial decay estimates and continuous dependence on modelling for an equation from dynamo theory

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