"Funktionalanalysis." . . "SpringerLink (Service en ligne)" . . "Semi-groupe régularisé" . . "Équation d'évolution." . . "Operadors lineals." . . "Evolutionsgleichung." . . "Matemàtica." . . "Functional analysis." . . "Functional Analysis." . "Théorème Hille-Yoshida." . . "Differential equations." . . "Differential Equations." . "Equation évolution." . . "Perturbation." . . "Anàlisi global (Matemàtica)" . . . . . "Existence families, functional calculi and evolution equations" . . . . . "This book presents an operator-theoretic approach to ill-posed evolution equations. It presents the basic theory, and the more surprising examples, of generalizations of strongly continuous semigroups known as 'existent families' and 'regularized semigroups'. These families of operators may be used either to produce all initial data for which a solution in the original space exists, or to construct a maximal subspace on which the problem is well-posed. Regularized semigroups are also used to construct functional, or operational, calculi for unbounded operators. The book takes an intuitive and constructive approach by emphasizing the interaction between functional calculus constructions and evolution equations. One thinks of a semigroup generated by A as etA and thinks of a regularized semigroup generated by A as etA g(A), producing solutions of the abstract Cauchy problem for initial data in the image of g(A). Material that is scattered throughout numerous papers is brought together and presented in a fresh, organized way, together with a great deal of new material."@en . . . . . . . . . . . . "Livre électronique (Descripteur de forme)" . . . . . . . . . . . . . "Existence families, functional calculi, and evolution equations"@en . "Existence families, functional calculi, and evolution equations" . . . . . . . . . . . . . . . "Llibres electrònics" . . . . . . . . . . "Ressource Internet (Descripteur de forme)" . . . . . . . . . . . . . . . . . . . "Electronic books"@en . "Existence Families, Functional Calculi and Evolution Equations"@en . "Existence Families, Functional Calculi and Evolution Equations" . . . . "Famille existence." . . "Opérateurs linéaires." . . "Problème Cauchy." . . "Funktionalkalkül." . . "Equation Schrödinger." . . "Operatorska teorija semigrupe operaterjev." . . "Operatorentheorie." . . "Calcul fonctionnel." . . "Równania ewolucyjne." . . "Operadores lineales." . . "Équations d'évolution." . . "Linear operators." . . "Linear Operators." . "Evolution equations." . . "Analiza funkcjonalna." . . "Opérateur linéaire." . . "Groupe continu." . . "Analyse fonctionnelle." . . "Análisis funcional." . . "Equacions diferencials" . . "Equacions diferencials." . "Equacions d'evolució." . . "Lineaire operatoren." . . "Cauchy-Anfangswertproblem." . . "Matrice opérateur." . . "Matrice Petrovsky." . . . . "Analysis." . . "Anàlisi funcional." . . "Operatory liniowe." . . "Teoria d'operadors" . . "Teoria d'operadors." .