ANALYTIC SMOOTHING EFFECT FOR NONLINEAR SCHRÖDINGER EQUATION IN TWO SPACE DIMENSIONS

• Hoshino Gaku

• Ozawa Tohru

Bibliographic Information

Other Title

• Analytic smoothing effect for nonlinear Schrodinger equation in two space dimensions

Abstract

We prove the global existence of analytic solutions to the Cauchy problem for nonlinear Schrödinger equations in two dimensions, where the nonlinearity behaves as a cubic power at the origin and the Cauchy data are small and decay exponentially at infinity.

Journal

• Osaka Journal of Mathematics

  Osaka Journal of Mathematics 51 (3), 609-618, 2014-07

  Osaka University and Osaka City University, Departments of Mathematics

Details

• CRID: 1390853649740705408
• NII Article ID: 120005478462
• NII Book ID: AA00765910
• DOI: 10.18910/50800
• HANDLE: 11094/50800
• ISSN: 00306126
• Web Site: https://dlisv03.media.osaka-cu.ac.jp/il/meta_pub/G0000438repository_111F0000002-05103-6
• Text Lang: en
• Data Source:
  • JaLC
  • IRDB
  • CiNii Articles