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Title: Nonexistence of the usual scattering states for the generalized Ostrovsky-Hunter equation

We consider the Cauchy problem for the generalized Ostrovsky-Hunter equation u{sub tx} = u + (|u|{sup ρ−1}u){sub xx}. We prove the nonexistence of the usual scattering states.
Authors:
;  [1] ;  [2]
  1. Department of Mathematics, Graduate School of Science, Osaka University, Osaka, Tokyonaka 560-0043 (Japan)
  2. Centro de Ciencias Matemáticas, UNAM Campus Morelia, AP 61-3 (Xangari), Morelia CP 58089, Michoacán (Mexico)
Publication Date:
OSTI Identifier:
22250664
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 5; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CAUCHY PROBLEM; EQUATIONS; SCATTERING