Well-posedness of the Cauchy problem in a Banach space: Regular and degenerate cases (Q1288051)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Well-posedness of the Cauchy problem in a Banach space: Regular and degenerate cases |
scientific article; zbMATH DE number 1285150
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Well-posedness of the Cauchy problem in a Banach space: Regular and degenerate cases |
scientific article; zbMATH DE number 1285150 |
Statements
Well-posedness of the Cauchy problem in a Banach space: Regular and degenerate cases (English)
0 references
10 May 1999
0 references
This is a very useful survey on integrated semigroups and \(C\)-semigroups with the generator \(A\), which includes the classical theory of Hille-Yosida of \(C_0\) semigroups. The survey ends with results on degenerate semigroups with the pair of generators \(A,B\), related to the degenerate Cauchy problem \(Bu'(t) = Au(t)\), \(t>0\), \(u(O)=x\), \(\text{Ker} B\neq 0\).
0 references
\(C\)-semigroups
0 references
integrated semigroups
0 references
Hille-Yosida
0 references
degenerate semigroups
0 references
degenerate Cauchy problem
0 references
