Non-existence of wave operators for Stark effect Hamiltonians.
Invariant subspaces for the Schrödinger evolution group
Time Decay for Some Schrödinger Equations.
Modified wave operators for the derivative nonlinear Schrödinger equation.
Small data scattering for nonlinear Schrödinger wave and Klein-Gordon equations
Small data scattering for nonlinear Schrödinger equations (NLS), nonlinear wave equations (NLW), nonlinear Klein-Gordon equations (NLKG) with power type nonlinearities is studied in the scheme of Sobolev spaces on the whole space with order . The assumptions on the nonlinearities are described in terms of power behavior at zero and at infinity such as for NLS and NLKG, and for NLW.
Classical and quantum scattering for Stark hamiltonians with slowly decaying potentials
Scattering theory in the weighted spaces for some Schrödinger equations
Global existence of small classical solutions to nonlinear Schrödinger equations
Global existence and asymptotic behavior of solutions for the Klein-Gordon equations with quadratic nonlinearity in two space dimensions.
On the coupled system of nonlinear wave equations with different propagation speeds
Nonlinear Schrödinger equation with a point defect
Small global solutions and the nonrelativistic limit for the nonlinear Dirac equation.
In this paper we study the Cauchy problem for the nonlinear Dirac equation in the Sobolev space Hs. We prove the existence and uniqueness of global solutions for small data in Hs with s > 1...
Regularity criterion for weak solutions to the Navier-Stokes equations in terms of the gradient of the pressure.
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