Stabilization of solutions of a nonlinear parabolic equation with a gradient term.
Keng Deng (1994)
Mathematische Zeitschrift
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Displaying similar documents to “Observations on Blow Up and Dead Cores for Nonlinear Parabolic Equations.”
Stabilization of solutions of a nonlinear parabolic equation with a gradient term.
Non-simultaneous blow-up for a semilinear parabolic system with nonlinear memory.
Zhou, Jun (2007)
Surveys in Mathematics and its Applications
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On the Asypmptotic Behaviour of Solutions of Nonlinear Parabolic Equations.
Michael Wiegner (1984/85)
Mathematische Zeitschrift
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Dynamic theory of quasilinear parabolic systems. III. Global existence (Erratum).
Herbert Amann (1990)
Mathematische Zeitschrift
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Remarks on blow up time for solutions of a nonlinear diffusion system with time dependent coefficients
Marras, M. (2011)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 35K55, 35K60. We investigate the blow-up of the solutions to a nonlinear parabolic system with Robin boundary conditions and time dependent coefficients. We derive sufficient conditions on the nonlinearities and the initial data in order to obtain explicit lower and upper bounds for the blow up time t*.
On the theory of non-linear differential Equations od Parabolic type II
M.R. Siddiqi (1936)
Mathematische Zeitschrift
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Counterexamples for Parabolic Differential Equations.
Wolfgang Walter, Ray. Redheffer (1977)
Mathematische Zeitschrift
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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 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.
Blow up for a nonlinear degenerate parabolic equation
Fila, M., Filo, J.
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Blow-up for a localized singular parabolic equation with weighted nonlocal nonlinear boundary conditions
Youpeng Chen, Baozhu Zheng (2015)
Annales Polonici Mathematici
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This paper deals with the blow-up properties of positive solutions to a localized singular parabolic equation with weighted nonlocal nonlinear boundary conditions. Under certain conditions, criteria of global existence and finite time blow-up are established. Furthermore, when q=1, the global blow-up behavior and the uniform blow-up profile of the blow-up solution are described; we find that the blow-up set is the whole domain [0,a], including the boundary, in contrast to the case of...
Global Regularity of Solutions of Nonlinear Second Order Elliptic and Parabolic Differential Equations.
Gary M. Liebermann (1986)
Mathematische Zeitschrift
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On the Partial Regularity of Weak Solutions of Nonlinear Parabolic Systems.
Michael Struwe, Mariano Giaquinta (1982)
Mathematische Zeitschrift
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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...