Rionero, Salvatore:
$L^{2}$-stability of the solutions to a nonlinear binary reaction-diffusion system of P.D.E.s
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni Serie 9 16 (2005), fasc. n.4, p. 227-238, (English)
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Sunto
The $L^{2}$-stability (instability) of a binary nonlinear reaction diffusion system of P.D.E.s - either under Dirichlet or Neumann boundary data - is considered. Conditions allowing the reduction to a stability (instability) problem for a linear binary system of O.D.E.s are furnished. A peculiar Liapunov functional $V$ linked (together with the time derivative along the solutions) by direct simple relations to the eigenvalues, is used.
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Con il contributo del Ministero per i Beni e le Attività Culturali