Existence and Regularity of Generalized Solutions of Degenerate Parabolic Problems Via Finite Difference Numerical Schemes
Title | Existence and Regularity of Generalized Solutions of Degenerate Parabolic Problems Via Finite Difference Numerical Schemes PDF eBook |
Author | Rasoul Behboudi |
Publisher | |
Pages | 100 |
Release | 2002 |
Genre | Differential equations, Parabolic |
ISBN |
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.
Existence and Regularity of Solutions of Degenerate Parabolic Equations
Title | Existence and Regularity of Solutions of Degenerate Parabolic Equations PDF eBook |
Author | Oscar Valverde Ayala |
Publisher | |
Pages | 54 |
Release | 1975 |
Genre | Boundary value problems |
ISBN |
Dissertation Abstracts International
Title | Dissertation Abstracts International PDF eBook |
Author | |
Publisher | |
Pages | 780 |
Release | 2006 |
Genre | Dissertations, Academic |
ISBN |
American Doctoral Dissertations
Title | American Doctoral Dissertations PDF eBook |
Author | |
Publisher | |
Pages | 776 |
Release | 2001 |
Genre | Dissertation abstracts |
ISBN |
Existence of Solutions to Degenerate Parabolic Equations Via the Monge-Kantorovich Theory
Title | Existence of Solutions to Degenerate Parabolic Equations Via the Monge-Kantorovich Theory PDF eBook |
Author | Martial Marie-Paul Agueh |
Publisher | |
Pages | 242 |
Release | 2002 |
Genre | Differential equations, Parabolic |
ISBN |
Numerical Methods for Elliptic and Parabolic Partial Differential Equations
Title | Numerical Methods for Elliptic and Parabolic Partial Differential Equations PDF eBook |
Author | Peter Knabner |
Publisher | Springer Science & Business Media |
Pages | 437 |
Release | 2003-06-26 |
Genre | Mathematics |
ISBN | 038795449X |
This text provides an application oriented introduction to the numerical methods for partial differential equations. It covers finite difference, finite element, and finite volume methods, interweaving theory and applications throughout. The book examines modern topics such as adaptive methods, multilevel methods, and methods for convection-dominated problems and includes detailed illustrations and extensive exercises.
Degenerate Elliptic Equations
Title | Degenerate Elliptic Equations PDF eBook |
Author | Serge Levendorskii |
Publisher | Springer Science & Business Media |
Pages | 442 |
Release | 2013-11-11 |
Genre | Mathematics |
ISBN | 9401712158 |
This volume is the first to be devoted to the study of various properties of wide classes of degenerate elliptic operators of arbitrary order and pseudo-differential operators with multiple characteristics. Conditions for operators to be Fredholm in appropriate weighted Sobolev spaces are given, a priori estimates of solutions are derived, inequalities of the Grding type are proved, and the principal term of the spectral asymptotics for self-adjoint operators is computed. A generalization of the classical Weyl formula is proposed. Some results are new, even for operators of the second order. In addition, an analogue of the Boutet de Monvel calculus is developed and the index is computed. For postgraduate and research mathematicians, physicists and engineers whose work involves the solution of partial differential equations.