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- W2017781168 abstract "We discuss gain of analyticity phenomenon of solutions to the initial value problem for semilinear Schrödinger equations with gauge invariant nonlinearity. We prove that if the initial data decays exponentially, then the solution becomes real-analytic in the space variable and a Gevrey function of order 2 in the time variable except in the initial plane. Our proof is based on the energy estimates developed in our previous work and on fine summation formulae concerned with a matrix norm." @default.
- W2017781168 created "2016-06-24" @default.
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- W2017781168 date "2009-01-01" @default.
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- W2017781168 title "Gain of analyticity for semilinear Schrödinger equations" @default.
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- W2017781168 doi "https://doi.org/10.1016/j.jde.2008.06.025" @default.
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