Boundary propagation of singularities for nonlinear second order Dirichlet problems (Q1813940)
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: Boundary propagation of singularities for nonlinear second order Dirichlet problems |
scientific article; zbMATH DE number 5413
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Boundary propagation of singularities for nonlinear second order Dirichlet problems |
scientific article; zbMATH DE number 5413 |
Statements
Boundary propagation of singularities for nonlinear second order Dirichlet problems (English)
0 references
25 June 1992
0 references
For the Dirichlet problem for second-order nonlinear PDE of real principal type in an \(n\)-dimensional domain with smooth noncharacteristic boundary the author proves the propagation of \(H^{s'}\)-singularities of real-valued \(H^ s\)-solutions along bicharacteristic curves for \(s>5+{n\over 2}\) and \(s'<2s-{n\over 2} -{9\over 2}\).
0 references
singularities
0 references
Dirichlet problem
0 references
bicharacteristic curves
0 references
0 references