Existence Families, Functional Calculi, and Evolution Equations
| Author/creator | DeLaubenfels, Ralph Author |
| Format | Electronic |
| Publication Info | New York : Springer |
| Description | xvi, 244 p. ill |
| Supplemental Content | Full text available from Springer Books |
| Supplemental Content | Full text available from SpringerLINK Lecture Notes in Mathematics |
| Series | Lecture Notes in Mathematics Ser. 1570 |
| Summary | Annotation 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. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| ISBN | 9783540483229 |
| ISBN | 3540483225 (E-Book) Active Record |
| Standard identifier# | 9783540483229 |
| Stock number | 10.1007/BFb0073401 00024965 |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | ✔ Available |