On the existence of the weak solution of a boundary value problem arising in the theory of water percolation
J. Goncerzewicz (1980)
Applicationes Mathematicae
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Displaying similar documents to “On behaviour of non-negative weak solutions of parabolic equations at the boundary”
On the existence of the weak solution of a boundary value problem arising in the theory of water percolation
Weak Solutions for a Fourth Order Degenerate Parabolic Equation
Changchun Liu, Jinyong Guo (2006)
Bulletin of the Polish Academy of Sciences. Mathematics
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We consider an initial-boundary value problem for a fourth order degenerate parabolic equation. Under some assumptions on the initial value, we establish the existence of weak solutions by the discrete-time method. The asymptotic behavior and the finite speed of propagation of perturbations of solutions are also discussed.
Concerning solutions of an exterior boundary-value problem for a system of non-linear parabolic equations
P. Besala (1964)
Annales Polonici Mathematici
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On a certain non-linear initial-boundary value problem for integro-differential equations of parabolic type
H. Ugowski (1973)
Annales Polonici Mathematici
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Uniqueness of positive weak solutions of second order parabolic equations
D. G. Aronson (1965)
Annales Polonici Mathematici
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On the Hölder Continuity of Bounded Weak Solutions of Quasilinear Parabolic Systems.
Michael Struwe (1981)
Manuscripta mathematica
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Weak Solutions for Nonlinear Parabolic Equations with Variable Exponents
Lingeshwaran Shangerganesh, Arumugam Gurusamy, Krishnan Balachandran (2017)
Communications in Mathematics
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In this work, we study the existence and uniqueness of weak solutions of fourth-order degenerate parabolic equation with variable exponent using the difference and variation methods.
Non-linear stationary parabolic boundary value problems in an infinite cylinder
Vladimír Ďurikovič (1979)
Annales Polonici Mathematici
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On internal approximations of parabolic problems
H. Marcinkowska (1983)
Annales Polonici Mathematici
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Regularity for doubly nonlinear parabolic equations
Ivanov, Alexander V.
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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.
Stabilization in degenerate parabolic equations in divergence form and application to chemotaxis systems
Sachiko Ishida, Tomomi Yokota (2023)
Archivum Mathematicum
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This paper presents a stabilization result for weak solutions of degenerate parabolic equations in divergence form. More precisely, the result asserts that the global-in-time weak solution converges to the average of the initial data in some topology as time goes to infinity. It is also shown that the result can be applied to a degenerate parabolic-elliptic Keller-Segel system.
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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