Observations on Blow Up and Dead Cores for Nonlinear Parabolic Equations.
L.A. Peletier, B. Kawohl (1989)
Mathematische Zeitschrift
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L.A. Peletier, B. Kawohl (1989)
Mathematische Zeitschrift
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Michael Wiegner (1984/85)
Mathematische Zeitschrift
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M.R. Siddiqi (1936)
Mathematische Zeitschrift
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Wolfgang Walter, Ray. Redheffer (1977)
Mathematische Zeitschrift
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Herbert Amann (1990)
Mathematische Zeitschrift
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Michael Struwe, Mariano Giaquinta (1982)
Mathematische Zeitschrift
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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. ...
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.
Gary M. Liebermann (1986)
Mathematische Zeitschrift
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V. Lj. Kocić (1985)
Matematički Vesnik
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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.
V.A. Galaktionov, J.L. Vazquez (1995)
Mathematische Annalen
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Wolfgang Walter (1986)
Mathematische Zeitschrift
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Liu, Changchun (2006)
Lobachevskii Journal of Mathematics
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