We will present the results obtained in collaboration with Alberto Ferrero and Susanna Terracini about the asymptotics of solutions to Schrödinger equations with singular magnetic and electric potentials. 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.

Felli, V. (2009). On the behavior of solutions to Schrödinger equations near an isolated singularity of the electromagnetic potential. Intervento presentato a: European Conference on Elliptic and Parabolic Problems, Gaeta.

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

FELLI, VERONICA
2009

Abstract

We will present the results obtained in collaboration with Alberto Ferrero and Susanna Terracini about the asymptotics of solutions to Schrödinger equations with singular magnetic and electric potentials. 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.
slide
Schrödinger equations, singular electromagnetic potential, Almgren monotonicity formula
English
European Conference on Elliptic and Parabolic Problems
Felli, V. (2009). On the behavior of solutions to Schrödinger equations near an isolated singularity of the electromagnetic potential. Intervento presentato a: European Conference on Elliptic and Parabolic Problems, Gaeta.
Felli, V
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10281/7879
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