Normal solvability of general linear elliptic problems
The paper is devoted to general elliptic problems in the Douglis-Nirenberg sense. We obtain a necessary and sufficient condition of normal solvability in the case of unbounded domains. Along with the ellipticity condition, proper ellipticity and Lopatinsky condition that determine normal solvability...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2005-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/AAA.2005.733 |
| Summary: | The paper is devoted to general elliptic problems in the
Douglis-Nirenberg sense. We obtain a necessary and sufficient
condition of normal solvability in the case of unbounded domains.
Along with the ellipticity condition, proper ellipticity and
Lopatinsky condition that determine normal solvability of
elliptic problems in bounded domains, one more condition
formulated in terms of limiting problems should be imposed in the
case of unbounded domains. |
|---|---|
| ISSN: | 1085-3375 1687-0409 |