Kamin, Kersner, Tesei: On the Cauchy problem for a class of parabolic equations with variable density

Kamin, Shoshana and Kersner, Robert and Tesei, Alberto:
On the Cauchy problem for a class of parabolic equations with variable density (Sul problema di Cauchy per una classe di equazioni paraboliche con densità variabile)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni Serie 9 9 (1998), fasc. n.4, p. 279-298, (English)
pdf (384 Kb), djvu (239 Kb). | MR1722787 | Zbl 0926.35045

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Si studia la buona posizione del problema di Cauchy per una classe di equazioni paraboliche con densità variabile. Si ricavano condizioni necessarie e sufficienti per l’esistenza e l’unicità nella classe delle soluzioni limitate. Se tali condizioni non sono verificate, si danno condizioni sufficienti a garantire la buona posizione del problema nella classe delle soluzioni limitate che all’infinito soddisfano opportune restrizioni.

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Referenze Bibliografiche