Finite speed of propagation and asymptotic rates for some nonlinear higher order parabolic equations with absorption

DOI10.1017/S030821050001903XzbMath0627.35050OpenAlexW2089216399MaRDI QIDQ3762960

Francisco Bernis

Publication date: 1986

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s030821050001903x

zbMATH Keywords

decay ratesinitial boundary value problemfinite speed of propagationenergy solutionsextinction in finite timeinterpolation inequalitiesfractional differential inequalities

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Initial-boundary value problems for higher-order parabolic equations (35K35) Partial differential inequalities and systems of partial differential inequalities (35R45) Multipliers for harmonic analysis in several variables (42B15)

Related Items (14)

Existence results for doubly nonlinear higher order parabolic equations on unbounded domains ⋮ On the initial growth of interfaces in reaction–diffusion equations with strong absorption ⋮ Qualitative properties of solutions of the Neumann problem for a higher-order quasilinear parabolic equation ⋮ Extinction of solutions of higher order parabolic equations with double nonlinearity and degenerate absorption potential ⋮ Some remarks on quasilinear parabolic problems with singular potential and a reaction term ⋮ Extinction of solutions of semilinear higher order parabolic equations with degenerate absorption potential ⋮ Decay of the mass of the solution to the Cauchy problem of the degenerate parabolic equation with nonlinear potential ⋮ Backward motion and waiting time phenomena for degenerate parabolic equations with nonlinear gradient absorption ⋮ On the free boundary for quenching type parabolic problems via local energy methods ⋮ On source-type solutions and the Cauchy problem for a doubly degenerate sixth-order thin film equation. I: Local oscillatory properties ⋮ Extinction behaviour for fast diffusion equations with absorption ⋮ Decay of the solutions of parabolic equations with double nonlinearity and the degenerate absorption potential ⋮ The Navier–Stokes problem modified by an absorption term ⋮ On the phenomenon of the support shrinking of a solution with a time delay and on the extinction of the solution

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