Persistence properties for the degasperis-procesi equation

David Henry

doi:10.1142/S0219891608001404

Persistence properties for the degasperis-procesi equation

David Henry

Trinity College Dublin

Research output: Contribution to journal › Article › peer-review

Abstract

For the Degasperis-Procesi equation we show that certain decay properties of the initial data persist as long as the solution exists. On the other hand, certain decay rates are possible only for the trivial solution. In particular, the only solution that remains with compact support for any further time is the trivial one.

Original language	English
Pages (from-to)	99-111
Number of pages	13
Journal	Journal of Hyperbolic Differential Equations
Volume	5
Issue number	1
DOIs	https://doi.org/10.1142/S0219891608001404
Publication status	Published - Mar 2008
Externally published	Yes

Keywords

Degasperis-Procesi
Evolution of decay properties
Initially compactly-supported solutions

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10.1142/S0219891608001404

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abstract = "For the Degasperis-Procesi equation we show that certain decay properties of the initial data persist as long as the solution exists. On the other hand, certain decay rates are possible only for the trivial solution. In particular, the only solution that remains with compact support for any further time is the trivial one.",

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AB - For the Degasperis-Procesi equation we show that certain decay properties of the initial data persist as long as the solution exists. On the other hand, certain decay rates are possible only for the trivial solution. In particular, the only solution that remains with compact support for any further time is the trivial one.

KW - Degasperis-Procesi

KW - Evolution of decay properties

KW - Initially compactly-supported solutions

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DO - 10.1142/S0219891608001404

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Persistence properties for the degasperis-procesi equation

Abstract

Keywords

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