47 citations · 49 across the 9 of their papers we have counts for
10 papers
On the nonlocal heat equation for certain Lévy operators and the uniqueness of positive solutions
Irene Gonzálvez, Fernando Quirós, Fernando Soria +1
We develop a Widder-type theory for nonlocal heat equations involving quite general Lévy operators. Thus, we consider nonnegative solutions and look for conditions on the operator…
Large-time estimates for the Dirichlet heat equation in exterior domains
José A. Cañizo, Alejandro Gárriz, Fernando Quirós
We give large-time asymptotic estimates, both in uniform and norms, for solutions of the Dirichlet heat equation in the complement of a bounded open set of sat…
A semilinear problem associated to the space-time fractional heat equation in
Carmen Cortázar, Fernando Quirós, Noemí Wolanski
We study the fully nonlocal semilinear equation , , where stands for the Caputo derivative of order and $(-Δ)^β…
An inhomogeneous porous medium equation with non-integrable data: asymptotics
Matteo Muratori, Troy Petitt, Fernando Quirós
We investigate the asymptotic behavior as of solutions to a weighted porous medium equation in , whose weight behaves at spatial infinity like…
Positivity and asymptotic behaviour of solutions to a generalized nonlocal fast diffusion equation
Arturo de Pablo, Fernando Quirós, Jorge Ruiz-Cases
We study the positivity and asymptotic behaviour of nonnegative solutions of a general nonlocal fast diffusion equation, \[\partial_t u + \mathcal{L}φ(u) = 0,\] and the interplay b…
Heat equations with fast convection: source-type solutions and large-time behaviour
Jørgen Endal, Liviu I. Ignat, Fernando Quirós
We study the existence and uniqueness of source-type solutions to the Cauchy problem for the heat equation with fast convection under certain tail control assumptions. We allow the…
Asymptotic profiles for inhomogeneous heat equations with memory
Carmen Cortázar, Fernando Quirós, Noemí Wolanski
We study the large-time behavior in all norms of solutions to an inhomogeneous nonlocal heat equation in involving a Caputo -time derivative and a power …
Large-time behaviour for anisotropic stable nonlocal diffusion problems with convection
Jørgen Endal, Liviu I. Ignat, Fernando Quirós
We study the large-time behaviour of nonnegative solutions to the Cauchy problem for a nonlocal heat equation with a nonlinear convection term. The diffusion operator is the infini…
Convergence in relative error for the Porous Medium equation in a tube
Alessandro Audrito, Alejandro Gárriz, Fernando Quirós
Given a bounded domain and , we study the long-time behaviour of solutions to the Porous Medium equation (PME) posed in a tube \[ \partial_tu = Δu^m…
Limits on the Electromagnetic Counterpart to S190814bv
Alan M. Watson, Nathaniel R. Butler, William H. Lee +11
We derive limits on any electromagnetic counterpart to the compact binary merger S190814bv, whose parameters are consistent with the merger of a black hole and a neutron star. We p…