Results 1 to 10 of about 2,197 (78)
The support of singular stochastic partial differential equations
Forum of Mathematics, Pi, 2022 We obtain a generalisation of the Stroock–Varadhan support theorem for a large class of systems of subcritical singular stochastic partial differential equations driven by a noise that is either white or approximately self-similar.
Martin Hairer, Philipp Schönbauer
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The influence of the noise on the exact solutions of a Kuramoto-Sivashinsky equation
Open Mathematics, 2022 In this article, we take into account the stochastic Kuramoto-Sivashinsky equation forced by multiplicative noise in the Itô sense. To obtain the exact stochastic solutions of the stochastic Kuramoto-Sivashinsky equation, we apply the G′G\frac{{G ...
Albosaily Sahar +4 more
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Demonstratio Mathematica, 2023 In this article, the stochastic fractional Davey-Stewartson equations (SFDSEs) that result from multiplicative Brownian motion in the Stratonovich sense are discussed.
Mohammed Wael W. +2 more
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Demonstratio Mathematica, 2021 In this paper, we introduce a new method to analyze the convergence of the standard finite element method for Hamilton-Jacobi-Bellman equation with noncoercive operators with nonlinear source terms with the mixed boundary conditions.
Miloudi Madjda +2 more
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Probability on Submetric Spaces
Annales Mathematicae Silesianae, 2023 A submetric space is a topological space with continuous metrics, generating a metric topology weaker than the original one (e.g. a separable Hilbert space with the weak topology).
Jakubowski Adam
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An existence result for two-dimensional parabolic integro-differential equations involving CEV model
Moroccan Journal of Pure and Applied Analysis, 2023 In this paper, we present an existence result of weak solutions for some parabolic equations involving the so-called CEV model with jumps.
Jarmouni Brahim, Hjiaj Hassane
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Nonautonomous Dynamical Systems, 2020 In this article, we are concerned with the neutral impulsive stochastic integro-differential equations driven by Poisson jumps and Rosenblatt process.
Kasinathan Ravikumar +3 more
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Fluctuations for Some Nonstationary Interacting Particle Systems via Boltzmann–Gibbs Principle
Forum of Mathematics, Sigma, 2023 Conjecture II.3.6 of Spohn in [47] and Lecture 7 of Jensen–Yau in [35] ask for a general derivation of universal fluctuations of hydrodynamic limits in large-scale stochastic interacting particle systems. However, the past few decades have witnessed only
Kevin Yang
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Weak solutions and optimal controls of stochastic fractional reaction-diffusion systems
Open Mathematics, 2020 The aim of this paper is to investigate a class of nonlinear stochastic reaction-diffusion systems involving fractional Laplacian in a bounded domain. First, the existence and uniqueness of weak solutions are proved by using Galërkin’s method.
Fu Yongqiang, Yan Lixu
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Open Mathematics, 2022 In this paper, the stochastic asymptotic behavior of the nonautonomous stochastic higher-order Kirchhoff equation with variable coefficients is studied.
Lv Penghui, Lin Guoguang, Sun Yuting
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