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math.AP2018★ 1 cited
Solutions with compact time spectrum to nonlinear Klein--Gordon and Schroedinger equations and the Titchmarsh theorem for partial convolution
Andrew Comech
We prove that finite energy solutions to the nonlinear Schroedinger equation and nonlinear Klein--Gordon equation which have the compact time spectrum have to be one-frequency soli…
math.AP2018
On asymptotic stability of ground states of some systems of nonlinear Schrödinger equations
Andrew Comech, Scipio Cuccagna
We extend to a specific class of systems of nonlinear Schrödinger equations (NLS) the theory of asymptotic stability of ground states already proved for the scalar NLS. Here the ke…