Stable equilibria to parabolic systems in unbounded domains

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Abstract

We investigate weakly coupled semilinear parabolic systems in unbounded domains in R2 or R3 with polynomial nonlinearities. Three sufficient conditions are presented to ensure the stability of the zero solution with respect to non-negative H 2-perturbations. © 2004 Taylor & Francis Group, LLC.

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Escher, J., & Yin, Z. (2004). Stable equilibria to parabolic systems in unbounded domains. Journal of Nonlinear Mathematical Physics, 11(2), 243–255. https://doi.org/10.2991/jnmp.2004.11.2.9

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