Barbu, Da Prato, Debussche: Essential m-dissipativity of Kolmogorov operators corresponding to periodic $2D$-Navier Stokes equations

Barbu, Viorel and Da Prato, Giuseppe and Debussche, Arnaud:
Essential m-dissipativity of Kolmogorov operators corresponding to periodic $2D$-Navier Stokes equations (Essenziale m-dissipatività dell’operatore di Kolmogorov associato all’equazione di Navier-Stokes stocastica)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni Serie 9 15 (2004), fasc. n.1, p. 29-38, (English)
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Sunto

Si dimostra l’essenziale m-dissipatività dell’operatore di Kolmogorov associato al flusso dell’equazione di Navier-Stokes stocastica con condizioni periodiche in uno spazio $L^{2}(H,\nu)$ dove $\nu$ è una misura invariante.

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Referenze Bibliografiche