Bounded Solutions for the Degasperis-Procesi Equation

Giuseppe Maria Coclite; Kenneth H. Karlsen

Bollettino dell'Unione Matematica Italiana (2008)

  • Volume: 1, Issue: 2, page 439-453
  • ISSN: 0392-4041

Abstract

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This paper deals with the well-posedness in L 1 ∩ L ∞ of the Cauchy problem for the Degasperis-Procesi equation. This is a third order nonlinear dispersive equation in one spatial variable and describes the dynamics of shallow water waves.

How to cite

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Coclite, Giuseppe Maria, and Karlsen, Kenneth H.. "Bounded Solutions for the Degasperis-Procesi Equation." Bollettino dell'Unione Matematica Italiana 1.2 (2008): 439-453. <http://eudml.org/doc/290459>.

@article{Coclite2008,
abstract = {This paper deals with the well-posedness in $L^\{1\} \cap L^\{\infty\}$ of the Cauchy problem for the Degasperis-Procesi equation. This is a third order nonlinear dispersive equation in one spatial variable and describes the dynamics of shallow water waves.},
author = {Coclite, Giuseppe Maria, Karlsen, Kenneth H.},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {6},
number = {2},
pages = {439-453},
publisher = {Unione Matematica Italiana},
title = {Bounded Solutions for the Degasperis-Procesi Equation},
url = {http://eudml.org/doc/290459},
volume = {1},
year = {2008},
}

TY - JOUR
AU - Coclite, Giuseppe Maria
AU - Karlsen, Kenneth H.
TI - Bounded Solutions for the Degasperis-Procesi Equation
JO - Bollettino dell'Unione Matematica Italiana
DA - 2008/6//
PB - Unione Matematica Italiana
VL - 1
IS - 2
SP - 439
EP - 453
AB - This paper deals with the well-posedness in $L^{1} \cap L^{\infty}$ of the Cauchy problem for the Degasperis-Procesi equation. This is a third order nonlinear dispersive equation in one spatial variable and describes the dynamics of shallow water waves.
LA - eng
UR - http://eudml.org/doc/290459
ER -

References

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