Strong solutions to the stochastic quantization equations
Da Prato, Giuseppe ; Debussche, Arnaud
Ann. Probab., Tome 31 (2003) no. 1, p. 1900-1916 / Harvested from Project Euclid
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We prove the existence and uniqueness of a strong solution of the stochastic quantization equation in dimension 2 for almost all initial data with respect to the invariant measure. The method is based on a fixed point result in suitable Besov spaces.
Publié le : 2003-10-14
Classification:  Stochastic quantization,  Gibbs measures,  Besov spaces,  pathwise solutions,  81S20,  28C20,  42B99 
@article{1068646370,
     author = {Da Prato, Giuseppe and Debussche, Arnaud},
     title = {Strong solutions to the stochastic quantization equations},
     journal = {Ann. Probab.},
     volume = {31},
     number = {1},
     year = {2003},
     pages = { 1900-1916},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1068646370}
}

Da Prato, Giuseppe; Debussche, Arnaud. Strong solutions to the stochastic quantization equations. Ann. Probab., Tome 31 (2003) no. 1, pp.  1900-1916. http://gdmltest.u-ga.fr/item/1068646370/