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Asymptotic stability of small solitary waves for nonlinear Schrödinger equations with electromagnetic potential in $ \mathbb{R}^3$
Asymptotic stability of small solitary waves nonlinear Schrö dinger equations electromagnetic potential $ \mathbb{R}^3$
2011/1/17
We consider the nonlinear magnetic Schr¨odinger equation for u : R3 × R → C,iut = (i∇ + A)2u + V u + g(u), u(x, 0) = u0(x),where A : R3 → R3 is the magnetic potential, V : R3 → R is the electric...
Solutions to nonlinear Schrödinger equations with singular electromagnetic potential and critical exponent
nonlinear Schrö dinger equations singular electromagnetic potential critical exponent
2010/12/8
We investigate existence and qualitative behaviour of solutions to nonlinear Schr¨odinger equations with critical exponent and singular electromagnetic potentials. We are concerned with with magnetic ...