Existence And Regularity Of Generalized Solutions Of Degenerate Parabolic Problems Via Finite Difference Numerical Schemes
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Existence and Regularity of Generalized Solutions of Degenerate Parabolic Problems Via Finite Difference Numerical Schemes
Author | : Rasoul Behboudi |
Publisher | : |
Total Pages | : 100 |
Release | : 2002 |
Genre | : Differential equations, Parabolic |
ISBN | : |
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ABSTRACT: This work is focused on questions of solvability of initial-boundary value problems for degenerate parabolic partial differential equations, and on the investigation of differential and certain qualitative properties of solutions of such equations. The generalized solvability of initial-boundary value problems is proved for linear equations with a degeneracy of parabolicity at the boundaries by employing numerical solutions obtained from finite difference numerical schemes. Furthermore, the regularity of generalized solutions is studied.
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