Regularity of solutions of nonlinear degenerate parabolic systems.

E. DiBenedetto; Avner Friedman

Displaying similar documents to “Regularity of solutions of nonlinear degenerate parabolic systems.”

Hölder estimates for nonlinear degenerate parabolic sytems.

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Journal für die reine und angewandte Mathematik

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Addendum to "Hölder estimates for nonlinear degenerate parabolic systems".

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A system of nonlinear degenerate parabolic equations.

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Regularity of solutions for a sixth order nonlinear parabolic equation in two space dimensions

Changchun Liu (2013)

Annales Polonici Mathematici

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We consider an initial-boundary problem for a sixth order nonlinear parabolic equation, which arises in oil-water-surfactant mixtures. Using Schauder type estimates and Campanato spaces, we prove the global existence of classical solutions for the problem in two space dimensions.

Application of Rothe's method to evolution integrodifferential equations.

Josef Kacur (1988)

Journal für die reine und angewandte Mathematik

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Existence of explosive solutions to some nonlinear parabolic Itô equations

Pao-Liu Chow (2015)

Banach Center Publications

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The paper is concerned with the problem of existence of explosive solutions for a class of nonlinear parabolic Itô equations. Under some sufficient conditions on the initial state and the coefficients, it is proven by the method of auxiliary functionals that there exist explosive solutions with positive probability. The main results are presented in Theorems 3.1 and 3.2 under different sets of conditions. An example is given to illustrate some application of the second theorem. ...

Existence result for a class of doubly nonlinear parabolic systems

Ahmed Aberqi, Jaouad Bennouna, Hicham Redwane (2014)

Applicationes Mathematicae

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We prove the existence of a renormalized solution to a class of doubly nonlinear parabolic systems.

Parabolic regularization and behaviour of the free boundary for unsaturated flow in a porous medium.

Dietmar Kröner (1984)

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Kaouther Ammar, Jaouad Bennouna, Hicham Redwane (2014)

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We prove the existence and uniqueness of a renormalized solution for a class of nonlinear parabolic equations with no growth assumption on the nonlinearities.

Coalescence of solutions for nonlinear Stieltjes equations.

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Extension of a result of Ladyženskaja and Uralceva concerning second-order parabolic equations of arbitrary order

Wolf von Wahl (1983)

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Full regularity of bounded solutions to nondiagonal parabolic systems of two equations

Dmitry Portnyagin (2008)

Applicationes Mathematicae

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Hölder continuity and, basing on this, full regularity and global existence of weak solutions is studied for a general nondiagonal parabolic system of nonlinear differential equations with the matrix of coefficients satisfying special structure conditions and depending on the unknowns. A technique based on estimating a certain function of unknowns is employed to this end.