19 citations · 35 across the 7 of their papers we have counts for
12 papers
A heat equation with memory: large-time behavior
Carmen Cortazar, Fernando Quiros, Noemi Wolanski
We study the large-time behavior in all norms and in different space-time scales of solutions to a heat equation with a Caputo -time derivative posed in . Th…
On the uniqueness of bound state solutions of a semilinear equation with weights
Carmen Cortazar, Marta Garcia-Huidobro, Pilar Herreros
We consider radial solutions of a general elliptic equation involving a weighted Laplace operator. We establish the uniqueness of the radial bound state solutions to $$ {div}\big(\…
Near field asymptotics for the porous medium equation in exterior domains. The critical two-dimensional case
Carmen Cortázar, Fernando Quirós, Noemí Wolanski
We consider the porous medium equation in an exterior two-dimensional domain which excludes a hole, with zero Dirichlet data on its boundary. Gilding and Goncerzewicz proved in [Gi…
Green's function and infinite-time bubbling in the critical nonlinear heat equation
Carmen Cortazar, Manuel del Pino, Monica Musso
Let be a smooth bounded domain in , . We consider the semilinear heat equation at the critical Sobolev exponent $$ u_t = Δu + u^{\frac{n+2}{n-2}} \inn Ω\times (0,…
Near field asymptotic behavior for the porous medium equation on the half-line
Carmen Cortázar, Fernando Quirós, Noemí Wolanski
Kamin and Vázquez proved in 1991 that solutions to the Cauchy-Dirichlet problem for the porous medium equation on the half line with zero boundary data and nonnega…
Asymptotic behavior for a one-dimensional nonlocal diffusion equation in exterior domains
Carmen Cortázar, Manuel Elgueta, Fernando Quirós +1
We study the long time behavior of solutions to the nonlocal diffusion equation in an exterior one-dimensional domain, with zero Dirichlet data on the compleme…