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230308 ||| eng |
| 020 |
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|a 978-3-11-079513-4
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| 020 |
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|a 978-3-11-079517-2
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| 100 |
1 |
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|a Le, Dung
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| 245 |
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|a Cross diffusion systems
|b dynamics, coexistence and persistence
|c Dung Le
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| 260 |
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|a Berlin ; Boston
|b De Gruyter
|c 2022, ©2022
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| 300 |
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|a IX, 221 pages
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| 505 |
0 |
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|a 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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| 653 |
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|a Reaction-diffusion equations
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b GRUYMPG
|a DeGruyter MPG Collection
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| 490 |
0 |
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|a De Gruyter series in nonlinear analysis and applications
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| 028 |
5 |
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|a 10.1515/9783110795134
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| 776 |
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|z 978-3-11-079498-4
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| 856 |
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|u https://www.degruyter.com/document/doi/10.1515/9783110795134
|x Verlag
|3 Volltext
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| 082 |
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|a 515.353
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| 520 |
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|a 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. Introduces differential equations and dynamical systems for applications in biology and ecology. Covers the main components in cross diffusion systems: Dynamics of solutions, Coexistence of steady states, The persistence of evolution processes
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