Existence of global solution for a nonlocal parabolic problem.
El Hachimi, Abderrahmane, Sidi Ammi, Moulay Rchid (2005)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Displaying similar documents to “Realization of the dynamics of ODE's in scalar parabolic PDE's”
Existence of global solution for a nonlocal parabolic problem.
Global existence and long-time behavior of solutions to a class of degenerate parabolic equations
Cung The Anh, Phan Quoc Hung (2008)
Annales Polonici Mathematici
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We study the global existence and long-time behavior of solutions for a class of semilinear degenerate parabolic equations in an arbitrary domain.
Contents
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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].
Some common asymptotic properties of semilinear parabolic, hyperbolic and elliptic equations
Poláčik, Peter
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Imbedding vector fields in scalar parabolic Dirichlet
Peter Poláčik, Krzysztof Rybakowski (1995)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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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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A Proof of Simultaneous Linearization with a Polylog Estimate
Tomoki Kawahira (2007)
Bulletin of the Polish Academy of Sciences. Mathematics
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We give an alternative proof of simultaneous linearization recently shown by T. Ueda, which connects the Schröder equation and the Abel equation analytically. In fact, we generalize Ueda's original result so that we may apply it to the parabolic fixed points with multiple petals. As an application, we show a continuity result on linearizing coordinates in complex dynamics.
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 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.