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About this book
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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Yes, you can access Cross-Diffusion Systems by Dung Le in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Title Page
- Copyright
- Contents
- Frontmatter
- Dedication
- 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
- 8 Coexistence of a class of cross-diffusion systems of m equations via index theories
- 9 Global and local Gagliardo–Nirenberg inequalities with a BMO term and fractional Laplacians
- Index
- Subject Index