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

Author(s)

• Le, Dung

Bibliographic Information

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

Note

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

Description and Table of Contents

Description

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

by "Nielsen BookData"

Details

• NCID: BB27265492
• ISBN:
  • 9783110607154
• LCCN: 2018032555
• Country Code: gw
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Berlin
• Pages/Volumes: x, 184 p.
• Size: 25 cm
• Classification:
  • LCC : QA402.3
  • DC23 : 515/.642
• Subject Headings:
  • LCSH : Control theory
  • LCSH : Coupled mode theory
  • LCSH : Differential equations, Parabolic
  • LCSH : Differential equations, Elliptic
  • LCSH : Differential equations, Partial
• Parent Bibliography ID:
  • BA18314589