Canadian Mathematical Society
Canadian Mathematical Society
  location:  Publicationsjournals
Search results

Search: MSC category 35P99 ( None of the above, but in this section )

  Expand all        Collapse all Results 1 - 1 of 1

1. CJM 2002 (vol 54 pp. 998)

Dimassi, Mouez
Resonances for Slowly Varying Perturbations of a Periodic Schrödinger Operator
We study the resonances of the operator $P(h) = -\Delta_x + V(x) + \varphi(hx)$. Here $V$ is a periodic potential, $\varphi$ a decreasing perturbation and $h$ a small positive constant. We prove the existence of shape resonances near the edges of the spectral bands of $P_0 = -\Delta_x + V(x)$, and we give its asymptotic expansions in powers of $h^{\frac12}$.

Categories:35P99, 47A60, 47A40

© Canadian Mathematical Society, 2014 :