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A density-dependent diffusion system with stable discontinuous stationary solutions

Annali di Matematica Pura ed Applicata (1988) 152(1) 259-280
DOI: 10.1007/BF01766153
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Abstract

We study stationary solutions of a parabolic system arising in population dynamics. An uncountable infinity of such solutions exists. Solutions belonging to a certain class are shown to be stable in a suitable sense. © 1988 Fondazione Annali di Matematica Pura ed Applicata.

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Aronson, D. G., Tesei, A., & Weinberger, H. (1988). A density-dependent diffusion system with stable discontinuous stationary solutions. Annali Di Matematica Pura Ed Applicata, 152(1), 259–280. https://doi.org/10.1007/BF01766153

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