Mixed problem with boundary integral conditions for a certain parabolic equation.
Bouziani, Abdelfatah (1996)
Journal of Applied Mathematics and Stochastic Analysis
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Displaying similar documents to “On the parabolic potentials in degenerate-type heat equation.”
Mixed problem with boundary integral conditions for a certain parabolic equation.
On a third order parabolic equation with a nonlocal boundary condition.
Bouziani, Abdelfatah (2000)
Journal of Applied Mathematics and Stochastic Analysis
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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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Flows of heat and time moving boundary
Miroslav Dont (1983)
Časopis pro pěstování matematiky
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A criterion of Petrowsky's kind for a degenerate quasilinear parabolic equation.
Peter Lindqvist (1995)
Revista Matemática Iberoamericana
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The celebrated criterion of Petrowsky for the regularity of the latest boundary point, originally formulated for the heat equation, is extended to the so-called p-parabolic equation. A barrier is constructed by the aid of the Barenblatt solution.
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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Global superconvergence of finite element methods for parabolic inverse problems
Hossein Azari, Shu Hua Zhang (2009)
Applications of Mathematics
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In this article we transform a large class of parabolic inverse problems into a nonclassical parabolic equation whose coefficients consist of trace type functionals of the solution and its derivatives subject to some initial and boundary conditions. For this nonclassical problem, we study finite element methods and present an immediate analysis for global superconvergence for these problems, on basis of which we obtain a posteriori error estimators.