Now showing items 1-2 of 2

    • Lower and upper bounds for the first eigenvalue of nonlocal diffusion problems in the whole space 

      Ignat L.I.; Rossi J.D.; San Antolin A. (Journal of Differential Equations, 2012-12-31)
      We find lower and upper bounds for the first eigenvalue of a nonlocal diffusion operator of the form T(u)=-∫ ℝdK(x,y)(u(y)-u(x))dy. Here we consider a kernel K(x, y)=ψ(y-a(x))+ψ(x-a(y)) where ψ is a bounded, nonnegative ...
    • A splitting method for the augmented Burgers equation 

      Ignat L.I.; Pozo A. (BIT Numerical Mathematics, 2017-07-01)
      In this paper we consider a splitting method for the augmented Burgers equation and prove that it is of first order. We also analyze the large-time behavior of the approximated solution by obtaining the first term in the ...