Parabolic Boundary Value Problems (Operator Theory: Advances and Applications)

Description:

The present monograph is devoted to the theory of general parabolic boundary problems. It starts with basic notions and various illustrative examples, followed by a detailed and systematic exposition of the L2-theory of parabolic boundary value problems with smooth coefficients in Hilbert spaces of smooth functions and distributions of arbitrary finite order. A survey of the Cauchy problem and boundary value problem in spaces of smooth functions broadens the scope of the work. Special attention is paid to a detailed study of examples illustrating and complementing the theory.

subjects: Boundary value problems,  Differential equations, Parabolic,  Parabolic Differential equations,  Problèmes aux limites,  Lissage fonction,  Solutions numériques,  Système parabolique non linéaire,  Opérateur linéaire,  Problème Cauchy,  Analyse fonctionnelle,  Randwaardeproblemen,  Espace Hilbert,  Équations différentielles paraboliques,  Problème aux limites,  Fonction Green,  Espace fonctionnel,  Équation 2e ordre,  Differential Equations,  Science/Mathematics,  Mathematics,  Differential Equations - Partial Differential Equations,  Mathematics / General,  Mathematical Analysis,  Mathematics, general