On integro-differential equations of parabolic type
H. Ugowski (1971)
Annales Polonici Mathematici
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Displaying similar documents to “Comparison theorems for purely non-linear parabolic differential operators”
On integro-differential equations of parabolic type
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.
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. ...
Parabolic sublinear operators with rough kernel generated by parabolic calderön-zygmund operators and parabolic local campanato space estimates for their commutators on the parabolic generalized local morrey spaces
Ferit Gurbuz (2016)
Open Mathematics
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In this paper, the author introduces parabolic generalized local Morrey spaces and gets the boundedness of a large class of parabolic rough operators on them. The author also establishes the parabolic local Campanato space estimates for their commutators on parabolic generalized local Morrey spaces. As its special cases, the corresponding results of parabolic sublinear operators with rough kernel and their commutators can be deduced, respectively. At last, parabolic Marcinkiewicz operator...
Evaluations of solutions of a second order parabolic equation
P. Besala (1963)
Colloquium Mathematicae
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On the existence of a fundamental solution for a parabolic differential equation with unbounded coefficients
P. Besala (1975)
Annales Polonici Mathematici
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Uniqueness of positive solutions of parabolic equations with unbounded coefficients
D. G. Aronson, P. Besala (1967)
Colloquium Mathematicae
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Tables of the functions of the parabolic cylinder for negative integer parameters
J. Murzewski, A. Sowa (1972)
Applicationes Mathematicae
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Some theorems on the estimate and existence of solutions of integro-differential equations of parabolic type
H. Ugowski (1972)
Annales Polonici Mathematici
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Existence result for a class of doubly nonlinear parabolic systems
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.
Non-linear stationary parabolic boundary value problems in an infinite cylinder
Vladimír Ďurikovič (1979)
Annales Polonici Mathematici
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Extension of a result of Ladyženskaja and Uralceva concerning second-order parabolic equations of arbitrary order
Wolf von Wahl (1983)
Annales Polonici Mathematici
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A note on the paper of Y. Naito
Piotr Biler (2006)
Banach Center Publications
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This note contains some remarks on the paper of Y. Naito concerning the parabolic system of chemotaxis and published in this volume.
On the least principal fundamental solution of a parabolic differential equation
A. Wójcik (1980)
Annales Polonici Mathematici
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Characterization of the solutions of a 2b-parabolic operator with initial data in BMO
A. Grimaldi, F. Ragnedda (1983)
Annales Polonici Mathematici
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The parabolic-parabolic Keller-Segel equation
Kleber Carrapatoso (2014-2015)
Séminaire Laurent Schwartz — EDP et applications
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I present in this note recent results on the uniqueness and stability for the parabolic-parabolic Keller-Segel equation on the plane, obtained in collaboration with S. Mischler in [11].