On behaviour of non-negative weak solutions of parabolic equations at the boundary
J. Chabrowski (1972)
Colloquium Mathematicae
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Displaying similar documents to “On the existence of the weak solution of a boundary value problem arising in the theory of water percolation”
On behaviour of non-negative weak solutions of parabolic equations at the boundary
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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The weak boundary effect in a field as a source approaches the boundary.
Krauklis, P.V., Krauklis, A.P. (2004)
Journal of Mathematical Sciences (New York)
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Non-negative solutions of linear parabolic equations
D. G. Aronson (1968)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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A nonlinear degenerate parabolic equation
B. H. Gilding (1977)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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On the boundary value problem arising in the radially symmetrical filtration of fluid
J. Goncerzewicz (1983)
Applicationes Mathematicae
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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.
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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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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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.