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Titlebook: A Minicourse on Stochastic Partial Differential Equations; Robert Dalang,Davar Khoshnevisan,Yimin Xiao,Davar Book 2009 Springer-Verlag Be

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樓主: SORB
11#
發(fā)表于 2025-3-23 13:19:34 | 只看該作者
12#
發(fā)表于 2025-3-23 16:21:23 | 只看該作者
13#
發(fā)表于 2025-3-23 20:37:26 | 只看該作者
https://doi.org/10.1057/9781137340023eneral, and the stochastic heat equation, in particular. The chief aim here is to get to the heart of the matter quickly. We achieve this by studying a few concrete equations only. This chapter provides sufficient preparation for learning more advanced theory from the remainder of this volume.
14#
發(fā)表于 2025-3-23 22:36:42 | 只看該作者
Leonardo M. Carneiro,édison Vicente Oliveirariving noise is Gaussian, spatially homogeneous and white in time. We mainly address issues of existence, uniqueness and H?lder—Sobolev regularity. We also present an extension of Walsh‘s theory of stochastic integration with respect to martingale measures that is useful for spatial dimensions . ≥ 3
15#
發(fā)表于 2025-3-24 06:15:14 | 只看該作者
Nilton C. Cáceres,Christopher R. Dickmanochastic partial differential equations. The Malliavin calculus is a differential calculus on a Gaussian space which has been developed from the probabilistic proof by Malliavin of H¨ormander‘s hypoellipticity theorem (see [8]). In the next section we present an introduction to the Malliavin calculu
16#
發(fā)表于 2025-3-24 09:05:36 | 只看該作者
Leonardo M. Carneiro,édison Vicente Oliveirascaling Gaussian fields with stationary increments, and the solution to the stochastic heat equation..This paper is concerned with sample path properties of anisotropic Gaussian random fields in general. Let . be a Gaussian random field with values in R. and with parameters H.,…,H.. Our goal is to c
17#
發(fā)表于 2025-3-24 11:49:16 | 只看該作者
https://doi.org/10.1007/978-3-540-85994-9Geometric measure theory and fractals; Interacting particle systems; Malliavin calculus; Stochastic ana
18#
發(fā)表于 2025-3-24 16:01:29 | 只看該作者
19#
發(fā)表于 2025-3-24 19:52:35 | 只看該作者
20#
發(fā)表于 2025-3-24 23:18:13 | 只看該作者
Nilton C. Cáceres,Christopher R. Dickmans, and we derive the main properties of the derivative and divergence operators. Section 3 is devoted to establish the main criteria for the existence and regularity of density for a random variable in a Gaussian space.
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