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Mourre's Method and Smoothing Properties of¶Dispersive Equations

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Communications in Mathematical Physics Aims and scope Submit manuscript

In memory of Professor Nobuhisa Iwasaki

Abstract:The purpose of this paper is to point out that Mourre's method in spectral theory is useful and powerful in studying the smoothing effect of dispersive equations. Especially we will see that the smoothing effect is a quite general phenomenon, even for operators with variable coefficients.

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Authors and Affiliations

  1. Department of Mathematics, Himeji Institute of Technology, Shosha 2167, Himeji, Hyogo 671-2201, Japan. E-mail: hoshiro@sci.himeji-tech.ac.jp, , , , , , JP

    Toshihiko Hoshiro

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  1. Toshihiko Hoshiro
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Received: 30 June 1998 / Accepted: 2 October 1998

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Hoshiro, T. Mourre's Method and Smoothing Properties of¶Dispersive Equations. Comm Math Phys 202, 255–265 (1999). https://doi.org/10.1007/s002200050581

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  • DOI: https://doi.org/10.1007/s002200050581

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