This paper presents a survey of maximal inequalities for stochastic convolutions in 2-smooth Banach spaces and their applications to stochastic evolution equations. This article is part of the theme issue 'Semigroup applications everywhere'.</p
Abstract We prove an inequality for the pth power of the norm of a stochastic convolution integral i...
Abstract. In this article we prove a maximal Lp-regularity result for stochas-tic convolutions, whic...
Stochastic partial differential equations (SPDEs) of evolution type are usually modelled as ordinary...
We present remarkably simple proofs of Burkholder–Davis–Gundy inequalities for stochastic integrals ...
summary:In stochastic partial differential equations it is important to have pathwise regularity pro...
We prove a new Burkholder–Rosenthal type inequality for discrete-time processes taking values in a 2...
This work consists of four chapters on some aspects of stochastic semilinear evolution equations (SP...
AbstractIn this paper we study the existence and uniqueness of weak solutions of stochastic differen...
summary:Space-time regularity of stochastic convolution integrals J = {\int^\cdot_0 S(\cdot-r)Z(r)W(...
The aim of this book is to give a systematic and self-contained presentation of the basic results on...
Abstract. In this paper, we study invariant measures for stochastic evolution equations in M-type 2 ...
Abstract. We establish well-posedness in the mild sense for a class of stochastic semi-linear evolut...
We establish well-posedness in the mild sense for a class of stochastic semilinear evolution equatio...
This work consists of four chapters on some aspects of stochastic semilinear evolution equations (SP...
In this paper we consider Lp-regularity estimates for solutions to stochastic evolution equations, w...
Abstract We prove an inequality for the pth power of the norm of a stochastic convolution integral i...
Abstract. In this article we prove a maximal Lp-regularity result for stochas-tic convolutions, whic...
Stochastic partial differential equations (SPDEs) of evolution type are usually modelled as ordinary...
We present remarkably simple proofs of Burkholder–Davis–Gundy inequalities for stochastic integrals ...
summary:In stochastic partial differential equations it is important to have pathwise regularity pro...
We prove a new Burkholder–Rosenthal type inequality for discrete-time processes taking values in a 2...
This work consists of four chapters on some aspects of stochastic semilinear evolution equations (SP...
AbstractIn this paper we study the existence and uniqueness of weak solutions of stochastic differen...
summary:Space-time regularity of stochastic convolution integrals J = {\int^\cdot_0 S(\cdot-r)Z(r)W(...
The aim of this book is to give a systematic and self-contained presentation of the basic results on...
Abstract. In this paper, we study invariant measures for stochastic evolution equations in M-type 2 ...
Abstract. We establish well-posedness in the mild sense for a class of stochastic semi-linear evolut...
We establish well-posedness in the mild sense for a class of stochastic semilinear evolution equatio...
This work consists of four chapters on some aspects of stochastic semilinear evolution equations (SP...
In this paper we consider Lp-regularity estimates for solutions to stochastic evolution equations, w...
Abstract We prove an inequality for the pth power of the norm of a stochastic convolution integral i...
Abstract. In this article we prove a maximal Lp-regularity result for stochas-tic convolutions, whic...
Stochastic partial differential equations (SPDEs) of evolution type are usually modelled as ordinary...
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