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.
@article{RLIN_1998_9_9_4_a4,
author = {Kamin, Shoshana and Kersner, Robert and Tesei, Alberto},
title = {On the {Cauchy} problem for a class of parabolic equations with variable density},
journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
pages = {279--298},
publisher = {mathdoc},
volume = {Ser. 9, 9},
number = {4},
year = {1998},
zbl = {0926.35045},
mrnumber = {MR1722787},
language = {en},
url = {http://geodesic.mathdoc.fr/item/RLIN_1998_9_9_4_a4/}
}
TY - JOUR AU - Kamin, Shoshana AU - Kersner, Robert AU - Tesei, Alberto TI - On the Cauchy problem for a class of parabolic equations with variable density JO - Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni PY - 1998 SP - 279 EP - 298 VL - 9 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/RLIN_1998_9_9_4_a4/ LA - en ID - RLIN_1998_9_9_4_a4 ER -
%0 Journal Article %A Kamin, Shoshana %A Kersner, Robert %A Tesei, Alberto %T On the Cauchy problem for a class of parabolic equations with variable density %J Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni %D 1998 %P 279-298 %V 9 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/RLIN_1998_9_9_4_a4/ %G en %F RLIN_1998_9_9_4_a4
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/