Asymptotics of the spectra of variational problems on the solutions of a homogeneous elliptic equation, under the presence of a constraint on part of the boundary (Q1101893)
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: Asymptotics of the spectra of variational problems on the solutions of a homogeneous elliptic equation, under the presence of a constraint on part of the boundary |
scientific article; zbMATH DE number 4048238
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotics of the spectra of variational problems on the solutions of a homogeneous elliptic equation, under the presence of a constraint on part of the boundary |
scientific article; zbMATH DE number 4048238 |
Statements
Asymptotics of the spectra of variational problems on the solutions of a homogeneous elliptic equation, under the presence of a constraint on part of the boundary (English)
0 references
1986
0 references
One obtains the principal term of the asymptotics of the spectrum of the ratio of two differential quadratic forms, considered in a bounded domain on the solutions of a homogeneous, regularly elliptic equation, under the presence of additional conditions on part of the boundary. This condition has the form of a pseudodifferential constraint and it is imposed on the Dirichlet data of the solutions. On the leading symbol of the corresponding pseudodifferential operator on the boundary, one imposes a nonsingularity condition.
0 references
asymptotics of the spectrum
0 references
differential quadratic forms
0 references
pseudodifferential constraint
0 references
Dirichlet data
0 references
nonsingularity condition
0 references
