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35-XX Partial differential equations
35-02 Research exposition (monographs, survey articles)

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Definitionsprizipien für Operatoren Bergmanscher Art und einige Anwendungen.

E. Kreyszig, M. Kracht, G. Schröder (1981)

Elemente der Mathematik

Diffusion and cross-diffusion in pattern formation

Wei-Ming Ni (2004)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

We discuss the stability and instability properties of steady state solutions to single equations, shadow systems, as well as $2 \times 2$ systems. Our basic observation is that the more complicated the pattern are, the more unstable they tend to be.

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