Persistence Properties of the Two-Component b-Family System

Abstract: In this paper we study the persistence properties of decay for the solutions to the two component b-family system. Using the method of characteristics, we establish that certain decay properties of the initial data persist as long as the solution exists. We also examine the propagation behavior of compactly supported solutions. We show that solutions have an infinite speed of propagation, that is, a non-trivial strong solution with compact initial value can not be compactly supported at any later time.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
Persistence Properties of the Two-Component b-Family System ; volume:12 ; number:2 ; year:2012 ; pages:409-425 ; extent:17
Advanced nonlinear studies ; 12, Heft 2 (2012), 409-425 (gesamt 17)

Creator
Zhu, Min
Xu, Junxiang

DOI
10.1515/ans-2012-0211
URN
urn:nbn:de:101:1-2405021704209.383898303445
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
14.08.2025, 10:53 AM CEST

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Associated

  • Zhu, Min
  • Xu, Junxiang

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