Almost global existence of solutions to the Kadomtsev-petviashvili equations

Nakao Hayashi; Pavel I. Naumkin; Tomoyuki Niizato

doi:10.1619/fesi.55.157

Almost global existence of solutions to the Kadomtsev-petviashvili equations

Nakao Hayashi, Pavel I. Naumkin, Tomoyuki Niizato

SCI - Mathematics

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

4 Citations (Scopus)

Abstract

We consider the Cauchy problem for the Kadomtsev-Petviashvili equations. We prove that the maximal existence time T is estimated from below as T ≥exp(C/ε), where ε denotes the size of the initial data, C > 0 is a constant.

Original language	English
Pages (from-to)	157-168
Number of pages	12
Journal	Funkcialaj Ekvacioj
Volume	55
Issue number	1
DOIs	https://doi.org/10.1619/fesi.55.157
Publication status	Published - 2012

Keywords

Almost global existence
Kadomtsev-petviashvili equations

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10.1619/fesi.55.157

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title = "Almost global existence of solutions to the Kadomtsev-petviashvili equations",

abstract = "We consider the Cauchy problem for the Kadomtsev-Petviashvili equations. We prove that the maximal existence time T is estimated from below as T ≥exp(C/ε), where ε denotes the size of the initial data, C > 0 is a constant.",

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AU - Hayashi, Nakao

AU - Naumkin, Pavel I.

AU - Niizato, Tomoyuki

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Y1 - 2012

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AB - We consider the Cauchy problem for the Kadomtsev-Petviashvili equations. We prove that the maximal existence time T is estimated from below as T ≥exp(C/ε), where ε denotes the size of the initial data, C > 0 is a constant.

KW - Almost global existence

KW - Kadomtsev-petviashvili equations

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Almost global existence of solutions to the Kadomtsev-petviashvili equations

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Keywords

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