Harnack inequality and applications for stochastic generalized porous media equations
Wang, Feng-Yu
Ann. Probab., Tome 35 (2007) no. 1, p. 1333-1350 / Harvested from Project Euclid
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By using coupling and Girsanov transformations, the dimension-free Harnack inequality and the strong Feller property are proved for transition semigroups of solutions to a class of stochastic generalized porous media equations. As applications, explicit upper bounds of the Lp-norm of the density as well as hypercontractivity, ultracontractivity and compactness of the corresponding semigroup are derived.
Publié le : 2007-07-14
Classification:  Harnack inequality,  stochastic generalized porous medium equation,  ultracontractivity,  60H15,  76S05 
@article{1181334247,
     author = {Wang, Feng-Yu},
     title = {Harnack inequality and applications for stochastic generalized porous media equations},
     journal = {Ann. Probab.},
     volume = {35},
     number = {1},
     year = {2007},
     pages = { 1333-1350},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1181334247}
}

Wang, Feng-Yu. Harnack inequality and applications for stochastic generalized porous media equations. Ann. Probab., Tome 35 (2007) no. 1, pp.  1333-1350. http://gdmltest.u-ga.fr/item/1181334247/