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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/AAA.2005.733 |
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| _version_ | 1849693284594614272 |
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| author | A. Volpert V. Volpert |
| author_facet | A. Volpert V. Volpert |
| author_sort | A. Volpert |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-37b16f800a224bcbbbb6ff173d7c3f41 |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-37b16f800a224bcbbbb6ff173d7c3f412025-08-20T03:20:29ZengWileyAbstract and Applied Analysis1085-33751687-04092005-01-012005773375610.1155/AAA.2005.733Normal solvability of general linear elliptic problemsA. Volpert0V. Volpert1Department of Mathematics, Technion–Israel Institute of Technology, Haifa 32000, IsraelLaboratoire deMathématiques Appliquées, UMR5585 CNRS, Université Lyon 1, Villeurbanne 69622, FranceThe 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.http://dx.doi.org/10.1155/AAA.2005.733 |
| spellingShingle | A. Volpert V. Volpert Normal solvability of general linear elliptic problems Abstract and Applied Analysis |
| title | Normal solvability of general linear
elliptic problems |
| title_full | Normal solvability of general linear
elliptic problems |
| title_fullStr | Normal solvability of general linear
elliptic problems |
| title_full_unstemmed | Normal solvability of general linear
elliptic problems |
| title_short | Normal solvability of general linear
elliptic problems |
| title_sort | normal solvability of general linear elliptic problems |
| url | http://dx.doi.org/10.1155/AAA.2005.733 |
| work_keys_str_mv | AT avolpert normalsolvabilityofgenerallinearellipticproblems AT vvolpert normalsolvabilityofgenerallinearellipticproblems |