Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime [0.03%]
Da Prato-Debussche框架下SPDE的不变测度的非高斯性
Ajay Chandra,Ilya Chevyrev
Ajay Chandra
We propose an elementary method to show non-Gaussianity of invariant measures of parabolic stochastic partial differential equations with polynomial non-linearities in the Da Prato-Debussche regime. The approach is essentially algebraic and...
An extrapolation result in the variational setting: improved regularity, compactness, and applications to quasilinear systems [0.03%]
变分设置下的一个外推结果：改进的正则性、紧性和拟线性系统的应用
Sebastian Bechtel,Mark Veraar
Sebastian Bechtel
In this paper we consider the variational setting for SPDE on a Gelfand triple ( V , H , V ∗ ) . Under the standard conditions on a linear coercive pair (A, B), and a symmetry condition on A we manage to extrapolate the classical L 2...
An additive-noise approximation to Keller-Segel-Dean-Kawasaki dynamics: local well-posedness of paracontrolled solutions [0.03%]
Keller-Segel-Dean-Kawasaki动力学的加性噪声近似：受控解的局部良定义性
Adrian Martini,Avi Mayorcas
Adrian Martini
Using the method of paracontrolled distributions, we show the local well-posedness of an additive-noise approximation to the fluctuating hydrodynamics of the Keller-Segel model on the two-dimensional torus. Our approximation is a non-linear...
Counterexamples to regularities for the derivative processes associated to stochastic evolution equations [0.03%]
关于随机演化方程所关联的导数过程的正则性的反例
Mario Hefter,Arnulf Jentzen,Ryan Kurniawan
Mario Hefter
In the recent years there has been an increased interest in studying regularity properties of the derivatives of semilinear parabolic stochastic evolution equations (SEEs) with respect to their initial values. In particular, in the scientif...
Importance sampling for stochastic reaction-diffusion equations in the moderate deviation regime [0.03%]
重要性采样在随机反应扩散方程的中偏差情形下的应用
Ioannis Gasteratos,Michael Salins,Konstantinos Spiliopoulos
Ioannis Gasteratos
We develop a provably efficient importance sampling scheme that estimates exit probabilities of solutions to small-noise stochastic reaction-diffusion equations from scaled neighborhoods of a stable equilibrium. The moderate deviation scali...
Delayed blow-up and enhanced diffusion by transport noise for systems of reaction-diffusion equations [0.03%]
带传输噪声的反应扩散方程组的延迟爆破和增强扩散效应
Antonio Agresti
Antonio Agresti
This paper is concerned with the problem of regularization by noise of systems of reaction-diffusion equations with mass control. It is known that strong solutions to such systems of PDEs may blow-up in finite time. Moreover, for many syste...
Some approximation results for mild solutions of stochastic fractional order evolution equations driven by Gaussian noise [0.03%]
一类受正态噪声驱动的随机分数阶发展方程温和解的逼近结果
K Fahim,E Hausenblas,M Kovács
K Fahim
We investigate the quality of space approximation of a class of stochastic integral equations of convolution type with Gaussian noise. Such equations arise, for example, when considering mild solutions of stochastic fractional order partial...
Oana Lang,Dan Crisan
Oana Lang
We prove the existence of a unique global strong solution for a stochastic two-dimensional Euler vorticity equation for incompressible flows with noise of transport type. In particular, we show that the initial smoothness of the solution is...
Multilevel quadrature for elliptic problems on random domains by the coupling of FEM and BEM [0.03%]
耦合法与边界元法求解随机域上的椭圆型偏微分方程的多层抽样近似算法
Helmut Harbrecht,Marc Schmidlin
Helmut Harbrecht
Elliptic boundary value problems which are posed on a random domain can be mapped to a fixed, nominal domain. The randomness is thus transferred to the diffusion matrix and the loading. While this domain mapping method is quite efficient fo...
The hyperbolic Anderson model: moment estimates of the Malliavin derivatives and applications [0.03%]
双曲安德森模型：Malliavin导数的矩估计及应用
Raluca M Balan,David Nualart,Lluís Quer-Sardanyons et al.
Raluca M Balan et al.
In this article, we study the hyperbolic Anderson model driven by a space-time colored Gaussian homogeneous noise with spatial dimension d = 1 , 2 . Under mild assumptions, we provide L p -estimates of the iterated Malliavin derivative of...