On Quasilinear Parabolic Systems.
Paolo Acquistapace, Brunello Terreni (1988)
Mathematische Annalen
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Displaying similar documents to “Global solutions to a class fo strongly coupled parabolic systems.”
On Quasilinear Parabolic Systems.
Abstract Quasilinear Parabolic Equations.
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A Characterization of Parabolic Potential Theory.
Hedi Ben Saad, Klaus Janßen (1985)
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On the Total Variation of Solutions of Parabolic Equations.
D.H. SATTINGER (1969)
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Uniqueness of solutions to a class of strongly degenerate parabolic equation.
Ling, Zhengqiu, Wang, Zhi-Gang (2007)
Lobachevskii Journal of Mathematics
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Geometrical properties of the solutions of one-dimensional nonlinear parabolic equations.
V.A. Galaktionov, J.L. Vazquez (1995)
Mathematische Annalen
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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.
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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The Total Variation of Solutions of Parabolic Differential Equations and a Maximum Principle in Unbounded Domains.
R.M. Redheffer, W. Walter (1974)
Mathematische Annalen
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Counterexamples for Uniqueness in Strongly Coupled Parabolic Systems.
Ray Redheffer, Wolfgang Walter (1980)
Mathematische Zeitschrift
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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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Dynamic theory of quasilinear parabolic systems. III. Global existence (Erratum).
Herbert Amann (1990)
Mathematische Zeitschrift
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On the global attractors for a class of semilinear degenerate parabolic equations
Cung The Anh, Nguyen Dinh Binh, Le Thi Thuy (2010)
Annales Polonici Mathematici
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We prove the existence and upper semicontinuity with respect to the nonlinearity and the diffusion coefficient of global attractors for a class of semilinear degenerate parabolic equations in an arbitrary domain.
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.
On integro-differential equations of parabolic type
H. Ugowski (1971)
Annales Polonici Mathematici
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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...