On the Cauchy problem for a generalized Camassa-Holm equation

Octavian Mustafa

doi:10.1016/j.na.2005.06.042

On the Cauchy problem for a generalized Camassa-Holm equation

Octavian Mustafa

Matematik (naturvetenskapliga fakulteten)

Forskningsoutput: Tidskriftsbidrag › Artikel i vetenskaplig tidskrift › Peer review

Sammanfattning

The local well-posedness of a generalized Camassa-Holm equation is established by means of Kato's theory for quasilinear evolution equations and two types of results for the blow-up of solutions with smooth initial data are given.

Originalspråk	engelska
Sidor (från-till)	1382-1399
Tidskrift	Nonlinear Analysis: Theory, Methods & Applications
Volym	64
Nummer	6
DOI	https://doi.org/10.1016/j.na.2005.06.042
Status	Published - 2006

Ämnesklassifikation (UKÄ)

Matematik

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10.1016/j.na.2005.06.042

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title = "On the Cauchy problem for a generalized Camassa-Holm equation",

abstract = "The local well-posedness of a generalized Camassa-Holm equation is established by means of Kato's theory for quasilinear evolution equations and two types of results for the blow-up of solutions with smooth initial data are given.",

keywords = "blow-up, nonlinear dispersive equation, local well-posedness",

author = "Octavian Mustafa",

year = "2006",

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AB - The local well-posedness of a generalized Camassa-Holm equation is established by means of Kato's theory for quasilinear evolution equations and two types of results for the blow-up of solutions with smooth initial data are given.

KW - blow-up

KW - nonlinear dispersive equation

KW - local well-posedness

U2 - 10.1016/j.na.2005.06.042

DO - 10.1016/j.na.2005.06.042

M3 - Article

SN - 0362-546X

VL - 64

SP - 1382

EP - 1399

JO - Nonlinear Analysis: Theory, Methods & Applications

JF - Nonlinear Analysis: Theory, Methods & Applications

IS - 6

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On the Cauchy problem for a generalized Camassa-Holm equation

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