Cross Diffusion Systems : Dynamics, Coexistence and Persistence /
Le, Dung,
Cross Diffusion Systems : Dynamics, Coexistence and Persistence / Dung Le. - 1 online resource (X, 226 p.) - De Gruyter Series in Nonlinear Analysis and Applications , 40 0941-813X ; .
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
restricted access http://purl.org/coar/access_right/c_16ec
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.
9783110795134
10.1515/9783110795134 doi
MATHEMATICS / Mathematical Analysis.
MATHEMATICS / Differential Equations / General.
Cross diffusion systems elliptic systems dynamics of evolution processes. Kreuzdiffusionssysteme Elliptische Systeme Biologische Modellierung Cross diffusion systems, elliptic systems, dynamics of evolution processes.
Cross Diffusion Systems : Dynamics, Coexistence and Persistence / Dung Le. - 1 online resource (X, 226 p.) - De Gruyter Series in Nonlinear Analysis and Applications , 40 0941-813X ; .
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
restricted access http://purl.org/coar/access_right/c_16ec
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.
9783110795134
10.1515/9783110795134 doi
MATHEMATICS / Mathematical Analysis.
MATHEMATICS / Differential Equations / General.
Cross diffusion systems elliptic systems dynamics of evolution processes. Kreuzdiffusionssysteme Elliptische Systeme Biologische Modellierung Cross diffusion systems, elliptic systems, dynamics of evolution processes.