L_2-estimates and Existence Theorems for the Exterior Differential Operators

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In this article, we obtain the notion of real-pseudoconvex domains in R^n, and we prove L_2-estimates and existence theorems for the exterior differential operators. For a real-pseudoconvex domain Ω, we have the vanishing of the de Rham cohomology H^p (Ω, R)=0, p>0. Thereby we can prove the global solvability of exterior differential equations in several spaces of functions and generalized functions in a realpseudoconvex domain in R^n. These are analogs of Poincare's Lemma in several categories.

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詳細情報 詳細情報について

  • CRID
    1050564287416038272
  • NII論文ID
    110004684319
  • NII書誌ID
    AA00701816
  • ISSN
    00754293
  • Web Site
    http://repo.lib.tokushima-u.ac.jp/134
  • 本文言語コード
    en
  • 資料種別
    departmental bulletin paper
  • データソース種別
    • IRDB
    • CiNii Articles

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