We prove global well-posedness in the mild sense for a stochastic partial differential equation with a power-type nonlinearity and Lévy noise. Equations of this type arise in models of neurophysiology
A method ofperturbative analysis of a class of stochastic nonlinear reaction-diffusion systems is de...
Fehrman B, Gess B. Well-Posedness of Nonlinear Diffusion Equations with Nonlinear, Conservative Nois...
In this thesis, we will discuss the Cauchy problem for some nonlinear dispersive PDEs with additive...
We consider a system of nonlinear partial differential equations with stochastic dynamical boundary ...
We study a reaction-diffusion evolution equation perturbed by a Gaussian noise. Here the leading ope...
We study a reaction-diffusion evolution equation perturbed by a Gaussian noise. Here the leading ope...
We investigate the stability of traveling-pulse solutions to the stochastic FitzHughNagumo equations...
Our work is concerned with a neural network with n nodes, where the activity of the k-th cell depend...
This thesis focuses on stochastic evolution equations arising from neuroscience. In the first part w...
We prove global well-posedness for a class of dissipative semilinear stochastic evolution equations ...
We study a class of reaction-diffusion type equations on a finite network with continuity assumption...
We consider a system of stochastic Allen–Cahn equations on a finite network represented by a finite ...
Neural field equations are used to model the spatio-temporal dynamics of the activity in a network o...
International audienceWe investigate existence and uniqueness of solutions of a McKean-Vlasov evolut...
We prove well-posedness in $H^{\sigma}(\mathbb{R})$ for any $\sigma \in [0,\infty)$ of a parametrica...
A method ofperturbative analysis of a class of stochastic nonlinear reaction-diffusion systems is de...
Fehrman B, Gess B. Well-Posedness of Nonlinear Diffusion Equations with Nonlinear, Conservative Nois...
In this thesis, we will discuss the Cauchy problem for some nonlinear dispersive PDEs with additive...
We consider a system of nonlinear partial differential equations with stochastic dynamical boundary ...
We study a reaction-diffusion evolution equation perturbed by a Gaussian noise. Here the leading ope...
We study a reaction-diffusion evolution equation perturbed by a Gaussian noise. Here the leading ope...
We investigate the stability of traveling-pulse solutions to the stochastic FitzHughNagumo equations...
Our work is concerned with a neural network with n nodes, where the activity of the k-th cell depend...
This thesis focuses on stochastic evolution equations arising from neuroscience. In the first part w...
We prove global well-posedness for a class of dissipative semilinear stochastic evolution equations ...
We study a class of reaction-diffusion type equations on a finite network with continuity assumption...
We consider a system of stochastic Allen–Cahn equations on a finite network represented by a finite ...
Neural field equations are used to model the spatio-temporal dynamics of the activity in a network o...
International audienceWe investigate existence and uniqueness of solutions of a McKean-Vlasov evolut...
We prove well-posedness in $H^{\sigma}(\mathbb{R})$ for any $\sigma \in [0,\infty)$ of a parametrica...
A method ofperturbative analysis of a class of stochastic nonlinear reaction-diffusion systems is de...
Fehrman B, Gess B. Well-Posedness of Nonlinear Diffusion Equations with Nonlinear, Conservative Nois...
In this thesis, we will discuss the Cauchy problem for some nonlinear dispersive PDEs with additive...