Interaction of progressing waves for semilinear wave equations. II (Q1107736)
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: Interaction of progressing waves for semilinear wave equations. II |
scientific article; zbMATH DE number 4065536
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Interaction of progressing waves for semilinear wave equations. II |
scientific article; zbMATH DE number 4065536 |
Statements
Interaction of progressing waves for semilinear wave equations. II (English)
0 references
1987
0 references
[For part I, see Ann. Math., II. Ser. 121, 187-213 (1985; Zbl 0575.35063).] From the authors' summary: ``This paper is related to the propagation of conormal regularity for solutions to semilinear wave equations, i.e. to the interaction of progressing waves for such an equation. One result of this type is proved here, for the wave operator in three dimensional space-time, concerning propagation of singularities associated to two or more characteristic surfaces, simply tangent along a common line. This special case is analysed in considerable detail for several reasons but principally to check the usefulness of different notions of regularity at such a singular variety. Three distinct spaces of iterated regularity associated to this geometry are investigated.''
0 references
propagation of conormal regularity
0 references
semilinear
0 references
interaction of progressing waves
0 references
characteristic surfaces
0 references
singular variety
0 references
iterated regularity
0 references
0 references
0 references
0 references
0.9639243
0 references
0.9349414
0 references
0.9344254
0 references
0.9333724
0 references
0.9278244
0 references
0.90474594
0 references