On behaviour of non-negative weak solutions of parabolic equations at the boundary
J. Chabrowski (1972)
Colloquium Mathematicae
Similarity:
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
Similarity:
On the Hölder Continuity of Bounded Weak Solutions of Quasilinear Parabolic Systems.
Michael Struwe (1981)
Manuscripta mathematica
Similarity:
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)
Similarity:
Non-negative solutions of linear parabolic equations
D. G. Aronson (1968)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity:
A nonlinear degenerate parabolic equation
B. H. Gilding (1977)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity:
On the boundary value problem arising in the radially symmetrical filtration of fluid
J. Goncerzewicz (1983)
Applicationes Mathematicae
Similarity:
On a certain non-linear initial-boundary value problem for integro-differential equations of parabolic type
H. Ugowski (1973)
Annales Polonici Mathematici
Similarity:
Concerning solutions of an exterior boundary-value problem for a system of non-linear parabolic equations
P. Besala (1964)
Annales Polonici Mathematici
Similarity:
Weak Solutions for a Fourth Order Degenerate Parabolic Equation
Changchun Liu, Jinyong Guo (2006)
Bulletin of the Polish Academy of Sciences. Mathematics
Similarity:
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.
A note on nonhomogeneous initial and boundary conditions in parabolic problems solved by the Rothe method
Karel Rektorys, Marie Ludvíková (1980)
Aplikace matematiky
Similarity:
When solving parabolic problems by the so-called Rothe method (see K. Rektorys, Czech. Math. J. 21 (96), 1971, 318-330 and other authors), some difficulties of theoretical nature are encountered in the case of nonhomogeneous initial and boundary conditions. As a rule, these difficulties lead to rather unnatural additional conditions imposed on the corresponding bilinear form and the initial and boundary functions. In the present paper, it is shown how to remove such additional assumptions...