On internal approximations of parabolic problems

H. Marcinkowska

Displaying similar documents to “On internal approximations of parabolic problems”

Uniqueness of positive weak solutions of second order parabolic equations

D. G. Aronson (1965)

Annales Polonici Mathematici

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On behaviour of non-negative weak solutions of parabolic equations at the boundary

J. Chabrowski (1972)

Colloquium Mathematicae

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On the Hölder Continuity of Bounded Weak Solutions of Quasilinear Parabolic Systems.

Michael Struwe (1981)

Manuscripta mathematica

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Regularity for doubly nonlinear parabolic equations

Ivanov, Alexander V.

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Harnack estimates for weak supersolutions to nonlinear degenerate parabolic equations

Tuomo Kuusi (2008)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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In this work we prove both local and global Harnack estimates for weak supersolutions to second order nonlinear degenerate parabolic partial differential equations in divergence form. We reduce the proof to an analysis of so-called hot and cold alternatives, and use the expansion of positivity together with a parabolic type of covering argument. Our proof uses only the properties of weak supersolutions. In particular, no comparison to weak solutions is needed.

On the existence of a fundamental solution for a parabolic differential equation with unbounded coefficients

P. Besala (1975)

Annales Polonici Mathematici

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Weak Solutions for a Fourth Order Degenerate Parabolic Equation

Changchun Liu, Jinyong Guo (2006)

Bulletin of the Polish Academy of Sciences. Mathematics

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We consider an initial-boundary value problem for a fourth order degenerate parabolic equation. Under some assumptions on the initial value, we establish the existence of weak solutions by the discrete-time method. The asymptotic behavior and the finite speed of propagation of perturbations of solutions are also discussed.