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- W1528000977 abstract "We consider a version of the stationary phase method in one dimension of A. Erdelyi, allowing the phase to have stationary points of non-integer order and the amplitude to have integrable singularities. We provide a complete proof and we improve the remainder estimates in the case of regular amplitude. Then we are interested in the time-asymptotic behaviour of the solution of the free Schrodinger equation on the line, where the Fourier transform of the initial data is compactly supported and has a singularity. Applying the above mentioned method, we obtain asymptotic expansions with respect to time in certain space-time cones, where the coefficients of the remainders are uniformly bounded. These results show the influence of the singularity on the decay." @default.
- W1528000977 created "2016-06-24" @default.
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- W1528000977 date "2014-12-18" @default.
- W1528000977 modified "2023-09-27" @default.
- W1528000977 title "Explicit error estimates for the stationary phase method I: The influence of amplitude singularities" @default.
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