We consider elliptic and parabolic equations with infinitely many variables. We prove some results of existence, uniqueness and regularity of solutions.
In questo lavoro si considerano equazioni ellittiche e paraboliche con un numero finito di variabili. Si provano risultati di esistenza, unicità e regolarità delle soluzioni.
@article{RLIN_1996_9_7_3_181_0,
author = {Giuseppe Da Prato},
title = {Some results on elliptic and parabolic equations in Hilbert spaces},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
volume = {7},
year = {1996},
pages = {181-199},
zbl = {0881.47018},
mrnumber = {1454413},
language = {en},
url = {http://dml.mathdoc.fr/item/RLIN_1996_9_7_3_181_0}
}
Da Prato, Giuseppe. Some results on elliptic and parabolic equations in Hilbert spaces. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 7 (1996) pp. 181-199. http://gdmltest.u-ga.fr/item/RLIN_1996_9_7_3_181_0/
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