Strongly coupled parabolic and elliptic systems : existence and regularity of strong and weak solutions

著者

• Le, Dung

書誌事項

Strongly coupled parabolic and elliptic systems : existence and regularity of strong and weak solutions

Dung Le

（De Gruyter series in nonlinear analysis and applications, v. 28）

De Gruyter, c2019

注記

Includes bibliographical references (p. [183]-184) and index

内容説明・目次

内容説明

Strongly coupled (or cross-diffusion) systems of parabolic and elliptic partial differential equations appear in many physical applications. This book presents a new approach to the solvability of general strongly coupled systems, a much more difficult problem in contrast to the scalar case, by unifying, elucidating and extending breakthrough results obtained by the author, and providing solutions to many open fundamental questions in the theory. Several examples in mathematical biology and ecology are also included. Contents Interpolation Gagliardo-Nirenberg inequalities The parabolic systems The elliptic systems Cross-diffusion systems of porous media type Nontrivial steady-state solutions The duality RBMO( )-H1( )| Some algebraic inequalities Partial regularity

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BB27265492
• ISBN:
  • 9783110607154
• LCCN: 2018032555
• 出版国コード: gw
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Berlin
• ページ数/冊数: x, 184 p.
• 大きさ: 25 cm
• 分類:
  • LCC : QA402.3
  • DC23 : 515/.642
• 件名:
  • LCSH : Control theory
  • LCSH : Coupled mode theory
  • LCSH : Differential equations, Parabolic
  • LCSH : Differential equations, Elliptic
  • LCSH : Differential equations, Partial
• 親書誌ID:
  • BA18314589