Errata
(1989)
Studia Mathematica
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(1989)
Studia Mathematica
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E. Barton (1972)
Fundamenta Mathematicae
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(1988)
Fundamenta 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.
(1990)
Fundamenta Mathematicae
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(1975)
Acta Arithmetica
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(1984)
Banach Center Publications
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(1972)
Studia Mathematica
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(1988)
Applicationes Mathematicae
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(1991)
Fundamenta Mathematicae
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(1977)
Annales Polonici Mathematici
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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. ...