Resolvent estimates and matrix-valued Schrodinger operator with eigenvalue crossings; Application to Strichartz estimates
Fermanian Kammerer, Clotilde ; ROUSSE, Vidian
HAL, hal-00693084 / Harvested from HAL
Text on HAL
We consider a semi-classical Schrodinger operator with a matrix-valued potential presenting eigenvalue crossings on isolated points. We obtain estimates for the boundary values of the resolvent under a generalized non-trapping assumption. As a consequence, we prove the smoothing effect of this operator, derive Strichartz type estimate for the propagator and get an existence theorem for a system of non-linear Schrodinger equations.
Publié le : 2008-07-05
Classification:  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph] 
@article{hal-00693084,
     author = {Fermanian Kammerer, Clotilde and ROUSSE, Vidian},
     title = {Resolvent estimates and matrix-valued Schrodinger operator with eigenvalue crossings; Application to Strichartz estimates},
     journal = {HAL},
     volume = {2008},
     number = {0},
     year = {2008},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00693084}
}

Fermanian Kammerer, Clotilde; ROUSSE, Vidian. Resolvent estimates and matrix-valued Schrodinger operator with eigenvalue crossings; Application to Strichartz estimates. HAL, Tome 2008 (2008) no. 0, . http://gdmltest.u-ga.fr/item/hal-00693084/