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math.AP2001
The Spectrum of a linearized 2D Euler operator
Y. Latushkin, Y. Li, M. Stanislavova
We study the spectral properties of the linearized Euler operator obtained by linearizing the equations of incompressible two dimensional fluid at a steady state with the vorticity…
math.AP2001
Persistent Homoclinic Orbits for Nonlinear Schroedinger Equation Under Singular Perturbation
Yanguang Charles Li
Existence of homoclinic orbits in the cubic nonlinear Schrödinger equation under singular perturbations is proved. Emphasis is placed upon the regularity of the semigroup $e^{\e t…