41 citations · 179 across the 30 of their papers we have counts for
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math.FA2021
Limiting absorption principle and virtual levels of operators in Banach spaces
Nabile Boussaid, Andrew Comech
We review the concept of the limiting absorption principle and its connection to virtual levels of operators in Banach spaces.
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…