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Dissipative Nonlinear Schrödinger Equations with Singular Data

Evolution operator U(t) is written as U(t)=MDtFM, where F denotes theFourier transform. We also have image where F-1 is the inverse Fourier transform. We denote by the same letter C various positive constants. The standard generator of Galilei transformations is given by J(t)=U(t)xU(-t)=x+it∂x. We also have commutation relations with J and image.......Read more...

 

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