Geodesic
On the Cauchy problem for a class of parabolic equations with variable density
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 9 (1998) no. 4, pp. 279-298.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

The well-posedness of the Cauchy problem for a class of parabolic equations with variable density is investigated. Necessary and sufficient conditions for existence and uniqueness in the class of bounded solutions are proved. If these conditions fail, sufficient conditions are given to ensure well-posedness in the class of bounded solutions which satisfy suitable constraints at infinity.
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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     title = {On the {Cauchy} problem for a class of parabolic equations with variable density},
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Kamin, Shoshana; Kersner, Robert; Tesei, Alberto. On the Cauchy problem for a class of parabolic equations with variable density. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 9 (1998) no. 4, pp. 279-298. http://geodesic.mathdoc.fr/item/RLIN_1998_9_9_4_a4/

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