Euler scheme for solutions of stochastic differential equations with non-Lipschitz coefficients.
Berkaoui, A. (2004)
Portugaliae Mathematica. Nova Série
Similarity:
Berkaoui, A. (2004)
Portugaliae Mathematica. Nova Série
Similarity:
Zemlys, Vaidotas (2008)
Electronic Journal of Probability [electronic only]
Similarity:
Keck, David N., McKibben, Mark A. (2003)
Journal of Applied Mathematics and Stochastic Analysis
Similarity:
Kolkovska, Ekaterina T. (2003)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Mireille Chaleyat-Maurel, Marta Sanz-Solé (2003)
ESAIM: Probability and Statistics
Similarity:
We consider the random vector , where are distinct points of and denotes the stochastic process solution to a stochastic wave equation driven by a noise white in time and correlated in space. In a recent paper by Millet and Sanz–Solé [10], sufficient conditions are given ensuring existence and smoothness of density for . We study here the positivity of such density. Using techniques developped in [1] (see also [9]) based on Analysis on an abstract Wiener space, we characterize...
Atar, Rami, Budhiraja, Amarjit (2002)
Electronic Journal of Probability [electronic only]
Similarity:
Gregory J. Morrow, Martin L. Silverstein (1986)
Séminaire de probabilités de Strasbourg
Similarity:
Giovanni, Peccati, Taqqu, Murad S. (2007)
Electronic Journal of Probability [electronic only]
Similarity:
Shigetoku Kawabata, Toshio Yamada (1982)
Séminaire de probabilités de Strasbourg
Similarity:
Hamadouche, D. (2000)
Portugaliae Mathematica
Similarity:
Ivo Vrkoč (1995)
Mathematica Bohemica
Similarity:
A theorem on continuous dependence of solutions to stochastic evolution equations on coefficients is established, covering the classical averaging procedure for stochastic parabolic equations with rapidly oscillating both the drift and the diffusion term.