Representation theorems and Fatou theorems for parabolic systems in the sense of Petrovskiĭ
J. Chabrowski (1974)
Colloquium Mathematicae
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Displaying similar documents to “On the representation of non-negative solutions of linear parabolic systems of partial differential equations”
Representation theorems and Fatou theorems for parabolic systems in the sense of Petrovskiĭ
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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On integro-differential equations of parabolic type
H. Ugowski (1971)
Annales Polonici Mathematici
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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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On the least principal fundamental solution of a parabolic differential equation
A. Wójcik (1980)
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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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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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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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.
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...
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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Comparison theorems for purely non-linear parabolic differential operators
P. Besala (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].
On the parabolic-elliptic limit of the doubly parabolic Keller-Segel system modelling chemotaxis
Piotr Biler, Lorenzo Brandolese (2009)
Studia Mathematica
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We establish new results on convergence, in strong topologies, of solutions of the parabolic-parabolic Keller-Segel system in the plane to the corresponding solutions of the parabolic-elliptic model, as a physical parameter goes to zero. Our main tools are suitable space-time estimates, implying the global existence of slowly decaying (in general, nonintegrable) solutions for these models, under a natural smallness assumption.