Explicit exponential decay bounds in quasilinear parabolic problems.
Philippin, G.A., Vernier Piro, S. (1999)
Journal of Inequalities and Applications [electronic only]
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Displaying similar documents to “Maximum principles for parabolic systems coupled in both first-order and zero-order terms.”
Explicit exponential decay bounds in quasilinear parabolic problems.
Large time behavior in a quasilinear parabolic-parabolic-elliptic attraction-repulsion chemotaxis system
Yutaro Chiyo (2023)
Archivum Mathematicum
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This paper deals with a quasilinear parabolic-parabolic-elliptic attraction-repulsion chemotaxis system. Boundedness, stabilization and blow-up in this system of the fully parabolic and parabolic-elliptic-elliptic versions have already been proved. The purpose of this paper is to derive boundedness and stabilization in the parabolic-parabolic-elliptic version.
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.
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 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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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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Evaluations of solutions of a second order parabolic equation
P. Besala (1963)
Colloquium Mathematicae
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A generalization of the maximum principle to nonlinear parabolic systems
Dmitry Portnyagin (2003)
Annales Polonici Mathematici
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A generalization of the well-known weak maximum principle is established for a class of quasilinear strongly coupled parabolic systems with leading terms of p-Laplacian type.
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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Uniqueness of positive solutions of parabolic equations with unbounded coefficients
D. G. Aronson, P. Besala (1967)
Colloquium 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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A qualitative theory for parabolic problems under dynamical boundary conditions.
von Below, Joachim, De Coster, Colette (2000)
Journal of Inequalities and Applications [electronic only]
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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)
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...
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.