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Properties of the Support of Solutions of a Class of 2-Dimensional Nonlinear Evolution Equations

Revista Integración, 2021-06, Vol.39 (1), p.41-50 [Peer Reviewed Journal]

This work is licensed under a Creative Commons Attribution 4.0 International License. ;ISSN: 2145-8472 ;ISSN: 0120-419X ;EISSN: 2145-8472 ;DOI: 10.18273/revint.v39n1-2021003

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  • Title:
    Properties of the Support of Solutions of a Class of 2-Dimensional Nonlinear Evolution Equations
  • Author: Bustamante, Eddye ; Jiménez Urrea, José
  • Subjects: Carleman estimates ; MATHEMATICS, APPLIED ; Nonlinear evolution equations ; weighted Sobolev spaces
  • Is Part Of: Revista Integración, 2021-06, Vol.39 (1), p.41-50
  • Description: Abstract In this work we consider equations of the form where P(D) is a two-dimensional differential operator, and l ∈. We prove that if u is a sufficiently smooth solution of the equation, such that supp u(0),supp u(T) ⊂ [−B, B] × [−B, B] for some B > 0, then there exists R0 > 0 such that supp u(t) ⊂ [−R0, R0]×[−R0, R0] for every t ∈ [0, T].
  • Publisher: Universidad Industrial de Santander
  • Language: Portuguese;Spanish
  • Identifier: ISSN: 2145-8472
    ISSN: 0120-419X
    EISSN: 2145-8472
    DOI: 10.18273/revint.v39n1-2021003
  • Source: SciELO
    DOAJ Directory of Open Access Journals
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