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Normal solvability of general linear elliptic problems

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  • A. Volpert
  • V. Volpert

Abstract

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.

Suggested Citation

  • A. Volpert & V. Volpert, 2005. "Normal solvability of general linear elliptic problems," Abstract and Applied Analysis, Hindawi, vol. 2005, pages 1-24, January.
    • Handle: RePEc:hin:jnlaaa:206802
    DOI: 10.1155/AAA.2005.733
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