On the asymptotics of solutions for some Schrödinger equations with dissipative perturbations of rank one
Kadowaki, Mitsuteru ; Nakazawa, Hideo ; Watanabe, Kazuo
Hiroshima Math. J., Tome 34 (2004) no. 1, p. 345-369 / Harvested from Project Euclid
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The classification of solutions for some dissipative systems by the information of the spectrum is established. Its generator is non self-adjoint Schrödinger operator with rank one singular perturbation. For the proof, a generalized Parseval formula is constructed.
Publié le : 2004-11-14
Classification:  35Q40,  35P10,  35P25,  47A40,  81Q05 
@article{1150998510,
     author = {Kadowaki, Mitsuteru and Nakazawa, Hideo and Watanabe, Kazuo},
     title = {On the asymptotics of solutions for some Schr\"odinger equations with dissipative perturbations of rank one},
     journal = {Hiroshima Math. J.},
     volume = {34},
     number = {1},
     year = {2004},
     pages = { 345-369},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1150998510}
}

Kadowaki, Mitsuteru; Nakazawa, Hideo; Watanabe, Kazuo. On the asymptotics of solutions for some Schrödinger equations with dissipative perturbations of rank one. Hiroshima Math. J., Tome 34 (2004) no. 1, pp.  345-369. http://gdmltest.u-ga.fr/item/1150998510/