On the asymptotics of solutions for some Schrödinger equations with dissipative perturbations of rank one

Mitsuteru Kadowaki, Hideo Nakazawa, Kazuo Watanabe
2004 Hiroshima Mathematical Journal  
The classification of solutions for some dissipative systems by the information of the spectrum is established. Its generator is non self-adjoint Schrö dinger operator with rank one singular perturbation. For the proof, a generalized Parseval formula is constructed. 2000 Mathematics Subject Classification. 35P10, 35P25, 81Q10, 81Q15
doi:10.32917/hmj/1150998510 fatcat:sj6rfide35ft5n4jrbjhliioim