Cross Diffusion Systems: Dynamics, Coexistence and Persistence

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. 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 Dung Le. Issued Also In Print. Mode Of Access: Internet Via World Wide Web. In English.