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  • 标题:Existence and uniqueness for some equation of a mixed elliptic-hyperbolic type
  • 本地全文:下载
  • 作者:Zhang Haixia ; Xiao Wei
  • 期刊名称:Boundary Value Problems
  • 印刷版ISSN:1687-2762
  • 电子版ISSN:1687-2770
  • 出版年度:2019
  • 卷号:2019
  • 期号:1
  • 页码:1-10
  • DOI:10.1186/s13661-019-1240-y
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In the paper, we prove results on existence and uniqueness of weak solutions for closed Dirichlet problem for a transonic flow model, and interior regularity results are also given in the important special case of the Tricomi equation. The method employed consists in variants of the a-b-c integral method of Friedrichs in Sobolev spaces with suitable weights. Particular attention is paid to the problem of attaining results with a minimum of restrictions on the boundary geometry and the form of the type change function.
  • 关键词:Mixed elliptic-hyperbolic type equation; Tomotika;Tamada model; a-b-c integral method; Star-shaped
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