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Cross Diffusion Systems : Dynamics, Coexistence and Persistence / Dung Le.

By: Material type: TextLanguage: Series: De Gruyter Series in Nonlinear Analysis and Applications ; 40Publisher: Berlin Boston De Gruyter, [2022]Copyright date: ©2022Description: 1 online resource (X, 226 p.)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783110795134
Subject(s): Additional physical formats: No title; No titleOnline resources:
Contents:
Frontmatter -- Contents -- 1 Introduction -- 2 Preliminaries -- 3 Existence results for cross-diffusion systems -- 4 Scalar techniques and diagonalization -- 5 Existence of solutions to general elliptic systems -- 6 Existence of solutions to elliptic systems of two equations -- 7 Persistence in the dynamics of evolution processes -- Bibliography -- Index
Title is part of eBook package: eBook Package Mathematics 2022 / eBook-Paket Mathematik 2022 De GruyterTitle is part of eBook package: EBOOK PACKAGE Mathematics 2022 DGB - ENG De GruyterTitle is part of eBook package: eBook Package Complete 2022 / eBook-Paket Gesamt 2022 De GruyterTitle is part of eBook package: DG Plus DeG Package 2022 Part 1 De GruyterTitle is part of eBook package: EBOOK PACKAGE Mathematics 2022 DGB - ALL LANG De GruyterTitle is part of eBook package: eBook Package Mathematics 2022 English / eBook-Paket Mathematik 2022 Englisch De GruyterTitle is part of eBook package: eBook Package Complete 2022 English / eBook-Paket Gesamt 2022 Englisch De GruyterSummary: The introduction of cross diffusivity opens many questions in the theory of reactiondiffusion systems. This book will be the first to investigate such problems presenting new findings for researchers interested in studying parabolic and elliptic systems where classical methods are not applicable. In addition, The Gagliardo-Nirenberg inequality involving BMO norms is improved and new techniques are covered that will be of interest. This book also provides many open problems suitable for interested Ph.D students.
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Frontmatter -- Contents -- 1 Introduction -- 2 Preliminaries -- 3 Existence results for cross-diffusion systems -- 4 Scalar techniques and diagonalization -- 5 Existence of solutions to general elliptic systems -- 6 Existence of solutions to elliptic systems of two equations -- 7 Persistence in the dynamics of evolution processes -- Bibliography -- Index

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The introduction of cross diffusivity opens many questions in the theory of reactiondiffusion systems. This book will be the first to investigate such problems presenting new findings for researchers interested in studying parabolic and elliptic systems where classical methods are not applicable. In addition, The Gagliardo-Nirenberg inequality involving BMO norms is improved and new techniques are covered that will be of interest. This book also provides many open problems suitable for interested Ph.D students.

Mode of access: Internet via World Wide Web.

Dung Le, University of Texas at San Antonio, USA.

In English.

Description based on online resource; title from PDF title page (publisher's Web site, viewed March 03 2026)

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