Burgers Equation White Noise Weak and Strong Solutions Hilbert Space Regularity
Issue Date:
2004
Publisher:
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Pliska Studia Mathematica Bulgarica, Vol. 16, No 1, (2004), 89p-99p
Abstract:
We review results obtained in [13] and [14] on a one-dimensional Burgers-type stochastic differential equation involving fractional power of the Laplacian in its linear part, perturbed by a white noise term, with Dirichlet boundary conditions. We discuss existence of weak solutions and regularity of solutions.