hegemony
发表于 2025-3-25 05:17:20
Regularization and Well-Posedness by Noise for Ordinary and Partial Differential EquationsThe article is an attempt to outline in a concise fashion different directions of research in this field that have attracted attention in recent years. We close the article with a look on more recent developments in the field of nonlinear SPDE, focusing on stochastic scalar conservation laws and por
小说
发表于 2025-3-25 09:51:33
Fokker–Planck Equations in Hilbert SpacesFunct Anal, 256:1269–1298, 2009) [.], (Bogachev et al., J Evol Equ, 10(3):487–509, 2010) [.], (Bogachev et al., Partial Differ Equ, 36:925–939, 2011) [.] and (Bogachev et al., Bull London Math Soc 39:631–640, 2007) [.], using probabilistic methods. Several applications are provided including Burgers
陈旧
发表于 2025-3-25 12:08:13
SPDEs with Volterra Noise partially extended. In the linear case, existence and regularity properties of stochastic convolution integral are established and the results are applied to 1D linear parabolic PDEs with boundary noise of Volterra type. For the equations with bilinear noise, existence and large time behaviour of s
群居动物
发表于 2025-3-25 16:24:37
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Eclampsia
发表于 2025-3-25 21:58:39
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疯狂
发表于 2025-3-26 00:12:36
Poisson Stochastic Process and Basic Schauder and Sobolev Estimates in the Theory of Parabolic Equatsional analogs for equations with coefficients depending only on time variable with the . constants as in the case of the one-dimensional heat equation. The method is quite general and is based on using the Poisson stochastic process. It also applies to equations involving non-local operators. It lo
把手
发表于 2025-3-26 04:46:25
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candle
发表于 2025-3-26 08:50:42
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chronology
发表于 2025-3-26 13:04:23
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性别
发表于 2025-3-26 20:09:56
Estimates for Nonlinear Stochastic Partial Differential Equations with Gradient Noise via Dirichlet t with sublinear non-homogeneous nonlinearities and Gaussian gradient Stratonovich noise with .-vector field coefficients. Assuming a commutator bound, the results are obtained by using resolvent and Dirichlet form methods and an approximative Itô-formula.