1 citations · 1 across the 4 of their papers we have counts for
5 papers
Sharp dimension threshold for unique FKPP steady states and BBM recurrence
Luca Rossi, Oliver Tough
We consider the existence and uniqueness of positive, bounded stationary solutions of the Fisher-KPP equation with Dirichlet boundary conditions. We establish that stationary solut…
Well-posedness for Wright--Fisher SPDEs with measurable drift
Jere Koskela, Oliver Tough
We prove weak existence and uniqueness in law of -valued solutions for a class of scalar stochastic heat equations with measurable drifts , driven…
Convergence and front position for an FKPP-type free boundary problem
Julien Berestycki, Sarah Penington, Oliver Tough
The free boundary problem\[ \begin{cases} \partial_tu=\frac{1}{2}Δu+u,\quad &t>0, \, x>L_t,\\ u(t,x)=0,\quad &t>0,\, x\le L_t,\\ \int_{L_t}^{\infty}u(t,y)dy=1,\quad &t> 0,\\ u(t,x)…
Quasi-stationary behavior of the stochastic FKPP equation on the circle
Wai-Tong Louis Fan, Oliver Tough
We consider the stochastic Fisher-Kolmogorov-Petrovsky-Piscunov (FKPP) equation on the circle , \begin{equation*} \partial_t u(t,x) \,= \fracα{2}Δu +β\,u(1-u) + \sqrt{γ…
-convergence to a quasi-stationary distribution
Oliver Tough
For general absorbed Markov processes having a quasi-stationary distribution (QSD) and absorption time , we introduce a Dobrushin-t…