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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Displaying similar documents to “A criterion of Petrowsky's kind for a degenerate quasilinear parabolic equation.”
Concerning solutions of an exterior boundary-value problem for a system of non-linear parabolic equations
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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Regularity at the boundary for solutions of linear parabolic differential equations
J. R. Cannon (1965)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Solution to a parabolic equation with integral type boundary condition.
Barradas, Ignacio, Perez-Esteva, Salvador (1993)
International Journal of Mathematics and Mathematical Sciences
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On behaviour of non-negative weak solutions of parabolic equations at the boundary
J. Chabrowski (1972)
Colloquium Mathematicae
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Regular regions for parabolic and elliptic equations
Chan, C.Y., Young, E.C. (1977)
Portugaliae mathematica
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New a priori estimates for nondiagonal strongly nonlinear parabolic systems
Arina Arkhipova (2008)
Banach Center Publications
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We consider nondiagonal elliptic and parabolic systems of equations with quadratic nonlinearities in the gradient. We discuss a new description of regular points of solutions of such systems. For a class of strongly nonlinear parabolic systems, we estimate locally the Hölder norm of a solution. Instead of smallness of the oscillation, we assume local smallness of the Campanato seminorm of the solution under consideration. Theorems about quasireverse Hölder inequalities proved by the...
Boundary behaviour in strongly degenerate parabolic equations.
Winkler, M. (2003)
Acta Mathematica Universitatis Comenianae. New Series
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Non-linear stationary parabolic boundary value problems in an infinite cylinder
Vladimír Ďurikovič (1979)
Annales Polonici Mathematici
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Explicit exponential decay bounds in quasilinear parabolic problems.
Philippin, G.A., Vernier Piro, S. (1999)
Journal of Inequalities and Applications [electronic only]
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Existence results for a fourth order partial differential equation arising in condensed matter physics
Carlos Escudero, Filippo Gazzola, Robert Hakl, Ireneo Peral, Pedro José Torres (2015)
Mathematica Bohemica
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We study a higher order parabolic partial differential equation that arises in the context of condensed matter physics. It is a fourth order semilinear equation which nonlinearity is the determinant of the Hessian matrix of the solution. We consider this model in a bounded domain of the real plane and study its stationary solutions both when the geometry of this domain is arbitrary and when it is the unit ball and the solution is radially symmetric. We also consider the initial-boundary...