### Pade-Galerkin Methods for Parabolic Partial Differential Equations

Nabil R. Nassif (1975)

Publications mathématiques et informatique de Rennes

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Nabil R. Nassif (1975)

Publications mathématiques et informatique de Rennes

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H. Marcinkowska, A. Szustalewicz (1988)

Applicationes Mathematicae

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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.

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. ...

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.

P. Besala (1983)

Annales Polonici Mathematici

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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.

Ji Liu, Jia-Shan Zheng (2015)

Czechoslovak Mathematical Journal

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We study a quasilinear parabolic-parabolic chemotaxis system with nonlinear logistic source, under homogeneous Neumann boundary conditions in a smooth bounded domain. By establishing proper a priori estimates we prove that, with both the diffusion function and the chemotaxis sensitivity function being positive, the corresponding initial boundary value problem admits a unique global classical solution which is uniformly bounded. The result of this paper is a generalization of that of...

V. Lj. Kocić (1985)

Matematički Vesnik

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