An initial-boundary value problem for quasi-linear parabolic systems of higher order
Vladimír Ďurikovič (1974)
Annales Polonici Mathematici
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Displaying similar documents to “On some perturbation techniques for quasi-linear parabolic equations.”
An initial-boundary value problem for quasi-linear parabolic systems of higher order
The quasilinear parabolic kirchhoff equation
Łukasz Dawidowski (2017)
Open Mathematics
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In this paper the existence of solution of a quasilinear generalized Kirchhoff equation with initial – boundary conditions of Dirichlet type will be studied using the Leray – Schauder principle.
Solution to a parabolic equation with integral type boundary condition.
Barradas, Ignacio, Perez-Esteva, Salvador (1993)
International Journal of Mathematics and Mathematical Sciences
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Boundedness in a quasilinear parabolic-parabolic chemotaxis system with nonlinear logistic source
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...
Non-linear stationary parabolic boundary value problems in an infinite cylinder
Vladimír Ďurikovič (1979)
Annales Polonici Mathematici
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On a third order parabolic equation with a nonlocal boundary condition.
Bouziani, Abdelfatah (2000)
Journal of Applied Mathematics and Stochastic Analysis
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On a certain non-linear initial-boundary value problem for integro-differential equations of parabolic type
H. Ugowski (1973)
Annales Polonici Mathematici
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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.
Uniqueness of the solution of a tangential derivative problem for an infinite system of nonlinear integro-differential equations of parabolic type
Andrzej Borzymowski, Jacek Urbanowicz (1983)
Annales Polonici Mathematici
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Comparison theorems for purely non-linear parabolic differential operators
P. Besala (1983)
Annales Polonici Mathematici
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Instantaneous shrinking of the support for solutions to certain parabolic equations and systems
Anatolii S. Kalashnikov (1997)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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The paper contains conditions ensuring instantaneous shrinking of the support for solutions to semilinear parabolic equations with compactly supported coefficients of nonlinear terms and reaction-diffusion systems.
Explicit exponential decay bounds in quasilinear parabolic problems.
Philippin, G.A., Vernier Piro, S. (1999)
Journal of Inequalities and Applications [electronic only]
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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. ...