与彩色噪声驱动的随机反应扩散方程相关的静态方程和演化方程的 Schauder 估计值

IF 0.8 4区数学 Q3 MATHEMATICS, APPLIED

Stochastic Analysis and Applications Pub Date : 2024-01-12 DOI:10.1080/07362994.2024.2303099

Davide A. Bignamini, Simone Ferrari

引用次数: 0

摘要

我们考虑了在 d=1,2,3 时，在ℝd 的紧凑子集上的实值连续函数空间中带有彩色噪声的随机反应扩散方程。我们证明了 Schauder 型估计、...

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Schauder estimates for stationary and evolution equations associated to stochastic reaction-diffusion equations driven by colored noise

We consider stochastic reaction-diffusion equations with colored noise on the space of real-valued and continuous functions on a compact subset of ℝd for d=1,2,3. We prove Schauder-type estimates, ...

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来源期刊

Stochastic Analysis and Applications 数学-统计学与概率论

CiteScore

2.70

自引率

7.70%

发文量

审稿时长

6-12 weeks

期刊介绍： Stochastic Analysis and Applications presents the latest innovations in the field of stochastic theory and its practical applications, as well as the full range of related approaches to analyzing systems under random excitation. In addition, it is the only publication that offers the broad, detailed coverage necessary for the interfield and intrafield fertilization of new concepts and ideas, providing the scientific community with a unique and highly useful service.