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Smoothing of dispersive waves. (English) Zbl 0818.35098

For a general class of linear dispersive equations with variable coefficients and asymptotic conditions at infinity smoothing estimates are proved.

MSC:

35Q40 PDEs in connection with quantum mechanics
35B65 Smoothness and regularity of solutions to PDEs
35S05 Pseudodifferential operators as generalizations of partial differential operators
35A27 Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs
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