On the Stochastic Burgers’ Equation in the Real Line
Gyöngy, István ; Nualart, David
Ann. Probab., Tome 27 (1999) no. 1, p. 782-802 / Harvested from Project Euclid
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In this paper we establish the existence and uniqueness of an $L^2(\mathbb{R})$ -valued solution for a one-dimensional Burgers’ equation perturbed by a space–time white noise on the real line. We show that the solution is continuous in space and time, provided the initial condition is continuous. The main ingredients of the proof are maximal inequalities for the stochastic convolution, and some a priori estimates for a class of deterministic parabolic equations.
Publié le : 1999-04-15
Classification:  Stochastic Burgers’ equation,  space–time white noise,  60H15,  60H20 
@article{1022677386,
     author = {Gy\"ongy, Istv\'an and Nualart, David},
     title = {On the Stochastic Burgers' Equation in the Real
		 Line},
     journal = {Ann. Probab.},
     volume = {27},
     number = {1},
     year = {1999},
     pages = { 782-802},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1022677386}
}

Gyöngy, István; Nualart, David. On the Stochastic Burgers’ Equation in the Real
		 Line. Ann. Probab., Tome 27 (1999) no. 1, pp.  782-802. http://gdmltest.u-ga.fr/item/1022677386/