Decay and regularity for dispersive equations with constant coefficients |
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Authors: | Toshihiko Hoshiro |
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Institution: | (1) Department of Mathematics, Himeji Institute of Technology, Shosha 2167, Himeji, 671-2201 Hyogo, Japan |
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Abstract: | This article discusses some smoothing estimates of the initial value problem for dispersive equations with constant coefficients.
In particular, it is shown that a certain condition for the principal part of the symbol (see the assumption (1.3) below,
which is equivalent to the one “of principal type” in the paper by Ben-Artzi and Devinatz 2]) is necessary and sufficient
for the maximal smoothing in space-time.
Dedicated to Professor Norio Shimakura
The author was supported in part by Grant-in-Aid for Scientific Research, Ministry of Education, Culture, Sports, Science
and Technology, Japan (No. 13640187). |
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Keywords: | |
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