We study the existence, smoothing properties and the long time behaviour for a class of nonlinear Cauchy problems in infinite dimensions under the assumption of -Sobolev inequalities.
Cite this article
Pierre Fougères, Cyril Roberto, Boguslaw Zegarliński, Sub-gaussian measures and associated semilinear problems. Rev. Mat. Iberoam. 28 (2012), no. 2, pp. 305–350DOI 10.4171/RMI/679