1 citations · 1 across the 6 of their papers we have counts for
6 papers
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}…
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}…
On the loss of mass for the heat equation in an exterior domain with general boundary conditions
Joaquín Domínguez-de-Tena, Aníbal Rodríguez-Bernal
In this work, we study the decay of mass for solutions to the heat equation in exterior domains, i.e., domains which are the complement of a compact set in . Differen…
PDEs in Moving Time Dependent Domains
Manuel Fernando Cortez, Aníbal Rodríguez-Bernal
In this work we study partial differential equations defined in a domain that moves in time according to the flow of a given ordinary differential equation, starting out of a given…
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.
Nonlinear balance and asymptotic behavior of supercritical reaction-diffusion equations with nonlinear boundary conditions
Aníbal Rodríguez-Bernal, Alejandro Vidal-López
We construct solutions of nonlinear reaction-diffusion equations with nonlinear boundary conditions in spaces where the problem is supercritical and show the nonlinear balance requ…