A Noncooperative Mixed Parabolic - Elliptic System and Positivity
نویسندگان
چکیده
Sommario. Per quanto concerne la positivit a, i sistemi cooperativi ellittici e parabolici si comportano come le corrispondenti equazioni: una sorgente positiva implica che la soluzione e positiva. I sistemi con accoppiamento non cooperativo presentano invece un diverso comportamento. Per i sistemi ellittici non cooperativi sussiste un risultato limitato ma uniforme di positivit a mentre per i sistemi parabolici non cooperativi non esiste alcun risultato di positivit a. In questo lavoro si esaminano condizioni che assicurino la positivit a di un sistema intermedio di tipo misto parabolico-ellittico.
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A Noncooperative Mixed Parabolic
Concerning positivity, cooperative elliptic and parabolic systems behave like the corresponding equations: a positive source implies that the solution is positive. Systems with a noncooperative coupling do not yield such type of behaviour. For noncooperative elliptic systems there is a restricted, but uniform, positivity result and for the non-cooperative parabolic system there is no positivity...
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