The critical variational setting for stochastic evolution equations
In this paper we introduce the critical variational setting for parabolic stochastic evolution
equations of quasi-or semi-linear type. Our results improve many of the abstract results in …
equations of quasi-or semi-linear type. Our results improve many of the abstract results in …
Nonlinear parabolic stochastic evolution equations in critical spaces part II: Blow-up criteria and instantaneous regularization
This paper is a continuation of Part I of this project, where we developed a new local well-
posedness theory for nonlinear stochastic PDEs with Gaussian noise. In the current Part II …
posedness theory for nonlinear stochastic PDEs with Gaussian noise. In the current Part II …
[HTML][HTML] Reaction-diffusion equations with transport noise and critical superlinear diffusion: local well-posedness and positivity
In this paper we consider a class of stochastic reaction-diffusion equations. We provide local
well-posedness, regularity, blow-up criteria and positivity of solutions. The key novelties of …
well-posedness, regularity, blow-up criteria and positivity of solutions. The key novelties of …
Nonlinear parabolic stochastic evolution equations in critical spaces Part I. Stochastic maximal regularity and local existence
In this paper we develop a new approach to nonlinear stochastic partial differential
equations with Gaussian noise. Our aim is to provide an abstract framework which is …
equations with Gaussian noise. Our aim is to provide an abstract framework which is …
Nonlinear parabolic stochastic evolution equations in critical spaces Part II. Blow-up criteria and instantaneous regularization
This paper is a continuation of Part I of this project, where we developed a new local well-
posedness theory for nonlinear stochastic PDEs with Gaussian noise. In the current Part II …
posedness theory for nonlinear stochastic PDEs with Gaussian noise. In the current Part II …