Geodesic
Characterization of the domain of an elliptic operator of infinitely many variables in \( L^{2}(\mu) \) spaces
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 8 (1997) no. 2, pp. 101-105

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

We consider an elliptic operator associated to a Dirichlet form corresponding to a differential stochastic equation of potential form. We characterize the domain of the operator as a subspace of \( W^{2,2} (\mu) \), where \( mu \) is the invariant measure of the differential stochastic equation. 
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     author = {Da Prato, Giuseppe},
     title = {Characterization of the domain of an elliptic operator of infinitely many variables in \( {L^{2}(\mu)} \) spaces},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
     pages = {101--105},
     publisher = {mathdoc},
     volume = {Ser. 9, 8},
     number = {2},
     year = {1997},
     zbl = {0899.47035},
     mrnumber = {MR1485321},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RLIN_1997_9_8_2_a1/}
}
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Da Prato, Giuseppe. Characterization of the domain of an elliptic operator of infinitely many variables in \( L^{2}(\mu) \) spaces. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 8 (1997) no. 2, pp. 101-105. http://geodesic.mathdoc.fr/item/RLIN_1997_9_8_2_a1/