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math.AP2021
On solutions with compact spectrum to nonlinear Klein--Gordon and Schroedinger equations
Andrew Comech
We consider finite energy solutions to the nonlinear Schroedinger equation and nonlinear Klein--Gordon equation and find the condition on the nonlinearity so that the standard, one…
math.AP2021★ 2 cited
Virtual levels and virtual states of linear operators in Banach spaces. Applications to Schroedinger operators
Nabile Boussaid, Andrew Comech
We develop a general approach to virtual levels in Banach spaces. We show that virtual levels admit several characterizations which are essentially equivalent: (1) there are corres…