On the Hölder Continuity of Bounded Weak Solutions of Quasilinear Parabolic Systems.
Michael Struwe (1981)
Manuscripta mathematica
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Displaying similar documents to “On the local behaviour of solutions of a certain class of doubly nonlinear parabolic equations.”
On the Hölder Continuity of Bounded Weak Solutions of Quasilinear Parabolic Systems.
An Optimal Regularity Result For A Class Of Quasilinear Parabolic Systems.
M. Struwe, M. Giaquinta (1981)
Manuscripta mathematica
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Local boundedness for solutions of doubly nonlinear parabolic equations.
L. Xiting, W. Zaide (1997)
Revista Matemática de la Universidad Complutense de Madrid
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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.
On the Partial Regularity of Weak Solutions of Nonlinear Parabolic Systems.
Michael Struwe, Mariano Giaquinta (1982)
Mathematische Zeitschrift
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Regularity for doubly nonlinear parabolic equations
Ivanov, Alexander V.
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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.
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. ...
Self-similar solutions for a nonlinear degenerate parabolic equation.
Liu, Changchun (2006)
Lobachevskii Journal of Mathematics
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Existence and uniqueness result for a class of nonlinear parabolic equations with L¹ data
Kaouther Ammar, Jaouad Bennouna, Hicham Redwane (2014)
Applicationes Mathematicae
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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.
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.
Application of restricted Backlund transformation to linearization of second order nonlinear parabolic equation
V. Lj. Kocić (1985)
Matematički Vesnik
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