Cauchy's problem for an essentially infinite-dimensional parabolic equation on an infinite-dimensional sphere (Q790351)
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: Cauchy's problem for an essentially infinite-dimensional parabolic equation on an infinite-dimensional sphere |
scientific article; zbMATH DE number 3847895
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cauchy's problem for an essentially infinite-dimensional parabolic equation on an infinite-dimensional sphere |
scientific article; zbMATH DE number 3847895 |
Statements
Cauchy's problem for an essentially infinite-dimensional parabolic equation on an infinite-dimensional sphere (English)
0 references
1983
0 references
The author proves the correct solvability of the parabolic problem \(u_ t={\mathcal L}_ pu\), \(u(p,0)=u(p)\), with an essentially infinite- dimensional operator [for this notion, see e.g. Ukr. Mat. Zh. 29, 781-784 (1977; Zbl 0372.35040)].
0 references
Cauchy problem
0 references
infinite-dimensional parabolic equation
0 references
infinite- dimensional sphere
0 references
correct solvability
0 references
