arXiv Analytics

Sign in

arXiv:0809.5002 [math.AP]AbstractReferencesReviewsResources

Asymptotic behavior of solutions to Schrödinger equations near an isolated singularity of the electromagnetic potential

Veronica Felli, Alberto Ferrero, Susanna Terracini

Published 2008-09-29, updated 2011-07-13Version 3

Asymptotics of solutions to Schroedinger equations with singular magnetic and electric potentials is investigated. By using a Almgren type monotonicity formula, separation of variables, and an iterative Brezis-Kato type procedure, we describe the exact behavior near the singularity of solutions to linear and semilinear (critical and subcritical) elliptic equations with an inverse square electric potential and a singular magnetic potential with a homogeneity of order -1.

Related articles: Most relevant | Search more
arXiv:1004.3949 [math.AP] (Published 2010-04-22, updated 2011-07-19)
On the behavior at collisions of solutions to Schrödinger equations with many-particle and cylindrical potentials
arXiv:0801.4798 [math.AP] (Published 2008-01-30)
Asymptotic behavior of global solutions of the $u_t=Δu + u^{p}$
arXiv:1007.4434 [math.AP] (Published 2010-07-26, updated 2011-02-21)
A note on local asymptotics of solutions to singular elliptic equations via monotonicity methods