2 citations · 2 across the 2 of their papers we have counts for
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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 $$ {div}\big(\…
Green's function and infinite-time bubbling in the critical nonlinear heat equation
Carmen Cortazar, Manuel del Pino, Monica Musso
Let be a smooth bounded domain in , . We consider the semilinear heat equation at the critical Sobolev exponent $$ 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…
How to approximate the heat equation with Neumann boundary conditions by nonlocal diffusion problems
C. Cortazar, M. Elgueta, J. D. Rossi +1
We present a model for nonlocal diffusion with Neumann boundary conditions in a bounded smooth domain prescribing the flux through the boundary. We study the limit of this family o…
Boundary fluxes for non-local diffusion
C. Cortazar, M. Elgueta, J. D. Rossi +1
We study a nonlocal diffusion operator in a bounded smooth domain prescribing the flux through the boundary. This problem may be seen as a generalization of the usual Neumann probl…