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Wave Packet Transform and Its Application to Schrodinger Equations

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• Speaker:

  Professor Keiichi Kato (Tokyo University of Science, Japan)

• Time:

  16:10-17:10 October 10 2017

• Venue:

  Room 1303, Sciences Building No.1

Abstract:

We introduce wave packet transform with time dependent wave packet and apply it to Schrodinger equations. Taking suitable time dependent wave packet, we can transform Schrodinger equations to 1st order partial differential equations with lower term, which is easy to solve or to transform integral equations. Using this formula, we discuss 1) estimates of solutions in modulation spaces. 2) to determine singularities of solutions by initial function