1 citations · 1 across the 4 of their papers we have counts for
5 papers
Asymmetric Kedem-Katchalsky boundary conditions for systems with spatial heterogeneities
Pablo Álvarez-Caudevilla, Cristina Brändle, Fermin González-Pereiro
This work investigates a model describing the interaction of two species in habiting separate but adjacent areas. These populations are governed by a system of equations that accou…
On an n-dimensional fourth-order system under a parametric condition
Pablo Álvarez-Caudevilla, Cristina Brändle, Devashish Sonowal
We establish the existence of positive solutions for a system of coupled fourth-order partial differential equations on a bounded domain \begin{align*} \left…
Unbounded solutions of the nonlocal heat equation
Cristina Brändle, Emmanuel Chasseigne, Raul Ferreira
We consider the Cauchy problem posed in the whole space for the following nonlocal heat equation: u_t = J * u - u, where J is a symmetric continuous probability density. Depending…
Large Deviations estimates for some non-local equations. General bounds and applications
Cristina Brändle, Emmanuel Chasseigne
Large deviation estimates for the following linear parabolic equation are studied: \[ \frac{\partial u}{\partial t}=\tr\Big(a(x)D^2u\Big) + b(x)\cdot D u + \int_{\R^N} \Big\{(u(x+y…
Large Deviations estimates for some non-local equations I. Fast decaying kernels and explicit bounds
Cristina Brändle, Emmanuel Chasseigne
We study large deviations for some non-local parabolic type equations. We show that, under some assumptions on the non-local term, problems defined in a bounded domain converge wit…