Necessary and sufficient conditions for the solvability and maximal regularity of abstract differential equations of mixed type in Holder spaces

• Mezeghrani Fatima Zohra

書誌事項

タイトル別名

• NECESSARY AND SUFFICIENT CONDITIONS FOR THE SOLVABILITY AND MAXIMAL REGULARITY OF ABSTRACT DIFFERENTIAL EQUATIONS OF MIXED TYPE IN HÖLDER SPACES

抄録

In this paper we study and obtain some necessary and sufficient conditions on the data for the existence, uniqueness of the strict solution and maximal regularity for some second-order differential equations with mixed boundary conditions whose forcing term belongs to Hölder continuous spaces. A few illustrative examples related to the interpolation theory are discussed.

収録刊行物

• Osaka Journal of Mathematics

  Osaka Journal of Mathematics 50 (3), 725-747, 2013-09

  Osaka University and Osaka City University, Departments of Mathematics

詳細情報

• CRID: 1390290699787269760
• NII論文ID: 120005986445
• NII書誌ID: AA00765910
• DOI: 10.18910/26010
• HANDLE: 11094/26010
• ISSN: 00306126
• Web Site: https://dlisv03.media.osaka-cu.ac.jp/il/meta_pub/G0000438repository_111F0000002-05003-7
• 本文言語コード: en
• データソース種別:
  • JaLC
  • IRDB
  • CiNii Articles