Geodesic
Asymptotic behavior of solutions to Schrödinger equations near an isolated singularity of the electromagnetic potential
Journal of the European Mathematical Society, Tome 13 (2011) no. 1, pp. 119-174

Voir la notice de l'article provenant de la source EMS Press

Asymptotics of solutions to Schrödinger 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.
DOI : 10.4171/jems/246
Classification : 35-XX, 83-XX, 00-XX
Keywords: Singular electromagnetic potentials, Hardy’s inequality, Schrödinger operators 
@article{JEMS_2011_13_1_a4,
     author = {Veronica Felli and Alberto Ferrero and Susanna Terracini},
     title = {Asymptotic behavior of solutions to {Schr\"odinger} equations near an isolated singularity of the electromagnetic potential},
     journal = {Journal of the European Mathematical Society},
     pages = {119--174},
     publisher = {mathdoc},
     volume = {13},
     number = {1},
     year = {2011},
     doi = {10.4171/jems/246},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/246/}
}
TY  - JOUR
AU  - Veronica Felli
AU  - Alberto Ferrero
AU  - Susanna Terracini
TI  - Asymptotic behavior of solutions to Schrödinger equations near an isolated singularity of the electromagnetic potential
JO  - Journal of the European Mathematical Society
PY  - 2011
SP  - 119
EP  - 174
VL  - 13
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4171/jems/246/
DO  - 10.4171/jems/246
ID  - JEMS_2011_13_1_a4
ER  - 
%0 Journal Article
%A Veronica Felli
%A Alberto Ferrero
%A Susanna Terracini
%T Asymptotic behavior of solutions to Schrödinger equations near an isolated singularity of the electromagnetic potential
%J Journal of the European Mathematical Society
%D 2011
%P 119-174
%V 13
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4171/jems/246/
%R 10.4171/jems/246
%F JEMS_2011_13_1_a4
Veronica Felli; Alberto Ferrero; Susanna Terracini. Asymptotic behavior of solutions to Schrödinger equations near an isolated singularity of the electromagnetic potential. Journal of the European Mathematical Society, Tome 13 (2011) no. 1, pp. 119-174. doi: 10.4171/jems/246

Cité par Sources :