On Finite Time Blow-Up for a 3D Davey-Stewartson System

Luigi Forcella

doi:10.1090/proc/16058

On Finite Time Blow-Up for a 3D Davey-Stewartson System

Luigi Forcella^*

^*Corresponding author for this work

School of Mathematical & Computer Sciences

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

3 Citations (Scopus)

Abstract

We consider the elliptic-elliptic Davey-Stewartson system in the three-dimensional Euclidean space, and we give sufficient conditions for the existence of finite time blow-up solutions in non-isotropic spaces. The proof is based on some general results on distributions defined via homogeneous symbols, in conjunction with a convexity argument.

Original language	English
Pages (from-to)	5421-5432
Number of pages	12
Journal	Proceedings of the American Mathematical Society
Volume	150
Issue number	12
Early online date	15 Jul 2022
DOIs	https://doi.org/10.1090/proc/16058
Publication status	Published - Dec 2022

Keywords

blow-up
Davey-Stewartson system
NLS-type equation

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/proc/16058

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title = "On Finite Time Blow-Up for a 3D Davey-Stewartson System",

abstract = "We consider the elliptic-elliptic Davey-Stewartson system in the three-dimensional Euclidean space, and we give sufficient conditions for the existence of finite time blow-up solutions in non-isotropic spaces. The proof is based on some general results on distributions defined via homogeneous symbols, in conjunction with a convexity argument.",

keywords = "blow-up, Davey-Stewartson system, NLS-type equation",

author = "Luigi Forcella",

note = "Funding Information: Received by the editors October 18, 2021, and, in revised form, March 2, 2022. 2020 Mathematics Subject Classification. Primary 35Q55, 35B40, 35B44. Key words and phrases. Davey-Stewartson system, NLS-type equation, blow-up. The author was supported by the EPSRC New Investigator Award (grant no. EP/S033157/1). Publisher Copyright: {\textcopyright} 2022 American Mathematical Society.",

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AU - Forcella, Luigi

N1 - Funding Information: Received by the editors October 18, 2021, and, in revised form, March 2, 2022. 2020 Mathematics Subject Classification. Primary 35Q55, 35B40, 35B44. Key words and phrases. Davey-Stewartson system, NLS-type equation, blow-up. The author was supported by the EPSRC New Investigator Award (grant no. EP/S033157/1). Publisher Copyright: © 2022 American Mathematical Society.

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N2 - We consider the elliptic-elliptic Davey-Stewartson system in the three-dimensional Euclidean space, and we give sufficient conditions for the existence of finite time blow-up solutions in non-isotropic spaces. The proof is based on some general results on distributions defined via homogeneous symbols, in conjunction with a convexity argument.

AB - We consider the elliptic-elliptic Davey-Stewartson system in the three-dimensional Euclidean space, and we give sufficient conditions for the existence of finite time blow-up solutions in non-isotropic spaces. The proof is based on some general results on distributions defined via homogeneous symbols, in conjunction with a convexity argument.

KW - blow-up

KW - Davey-Stewartson system

KW - NLS-type equation

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U2 - 10.1090/proc/16058

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M3 - Article

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JF - Proceedings of the American Mathematical Society

IS - 12

ER -

On Finite Time Blow-Up for a 3D Davey-Stewartson System

Abstract

Keywords

ASJC Scopus subject areas

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