3 papers
math.AP2024
Asymptotic behaviour of the heat equation in an exterior domain with general boundary conditions II. The case of bounded and of data
Joaquín Domínguez-de-Tena, Aníbal Rodríguez-Bernal
In this work, we study the asymptotic behaviour of solutions to the heat equation in exterior domains, i.e., domains which are the complement of a smooth compact set in $\mathbb{R}…
math.AP2024
Asymptotic behaviour of the heat equation in an exterior domain with general boundary conditions I. The case of integrable data
Joaquín Domínguez-de-Tena, Aníbal Rodríguez-Bernal
In this work, we study the asymptotic behaviour of solutions to the heat equation in exterior domains, i.e., domains which are the complement of a smooth compact set in $\mathbb{R}…
math.AP2012
A note on the existence of global solutions for reaction-diffusion equations with almost-monotonic nonlinearities
Aníbal Rodríguez-Bernal, Alejandro Vidal-López
We show that reaction-diffusion equations with almost-monotonic nonlinear terms are well-posed in for each and the solutions are globally defined.