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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Displaying similar documents to “On the least principal fundamental solution of a parabolic differential equation”
On the existence of a fundamental solution for a parabolic differential equation with unbounded coefficients
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H. Ugowski (1971)
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J. Murzewski, A. Sowa (1972)
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Evaluations of solutions of a second order parabolic equation
P. Besala (1963)
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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)
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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...
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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Characterization of the solutions of a 2b-parabolic operator with initial data in BMO
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Annales Polonici Mathematici
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H. Ugowski (1972)
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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.
Representation theorems and Fatou theorems for parabolic systems in the sense of Petrovskiĭ
J. Chabrowski (1974)
Colloquium Mathematicae
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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].
Global bounds for a class of quasilinear parabolic equations.
Horn, Werner (2002)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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J. Chabrowski (1973)
Annales Polonici Mathematici
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Piotr Biler, Lorenzo Brandolese (2009)
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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.
On the backward parabolic equation: a critical survey of some current methods
Dang-Dinh Ang (1990)
Banach Center Publications
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