2 citations · 2 across the 2 of their papers we have counts for
4 papers
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…