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arXiv · 0809.5002

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

Veronica Felli·Alberto Ferrero·Susanna Terracini
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Abstract

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.

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Veronica Felli, Alberto Ferrero, Susanna Terracini. 2011-07-13. Asymptotic behavior of solutions to Schrödinger equations near an isolated singularity of the electromagnetic potential. https://arxiv.org/abs/0809.5002

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