M. Elgueta

activity

20062017

most citedThe blow-up problem for a semilinear parabolic equation with a potential

19 citations · 34 across the 6 of their papers we have counts for

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Showing 2006Show all

3 papers · 1 filter

math.AP2006

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…

math.AP2006★ 2 cited

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…

math.AP2006★ 19 cited

The blow-up problem for a semilinear parabolic equation with a potential

C. Cortazar, M. Elgueta, J. D. Rossi

Let $Ω$ be a bounded smooth domain in $\RR^N$. We consider the problem $u_{t} = Δ u + V (x) u^{p}$ in $Ω \times [0, T)$ , with Dirichlet boundary conditions $u = 0$ on $\partial Ω \times [0, T)$ …