Multi-dimensional periodic problems for higher-order linear hyperbolic equations

Tariel Kiguradze; Noha Al Jaber

doi:10.1515/gmj-2019-2002

Multi-dimensional periodic problems for higher-order linear hyperbolic equations

Tariel Kiguradze^*
, Noha Al Jaber

^*Corresponding author for this work

Florida Institute of Technology

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

2 Scopus citations

Abstract

For higher-order linear hyperbolic equations the problem on periodic solutions is investigated. The concepts of associated problems, and α-well-posedness are introduced. Necessary and sufficient conditions of well-posedness in the two-dimensional case, as well as unimprovable sufficient conditions of well-posedness and α-well-posedness in the multi-dimensional case are established.

Original language	English
Pages (from-to)	235-256
Number of pages	22
Journal	Georgian Mathematical Journal
Volume	26
Issue number	2
DOIs	https://doi.org/10.1515/gmj-2019-2002
State	Published - 1 Jun 2019
Externally published	Yes

Keywords

Higher-order hyperbolic equation
linear
multi-dimensional
periodic

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10.1515/gmj-2019-2002

Cite this

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title = "Multi-dimensional periodic problems for higher-order linear hyperbolic equations",

abstract = "For higher-order linear hyperbolic equations the problem on periodic solutions is investigated. The concepts of associated problems, and α-well-posedness are introduced. Necessary and sufficient conditions of well-posedness in the two-dimensional case, as well as unimprovable sufficient conditions of well-posedness and α-well-posedness in the multi-dimensional case are established.",

keywords = "Higher-order hyperbolic equation, linear, multi-dimensional, periodic",

author = "Tariel Kiguradze and \{Al Jaber\}, Noha",

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year = "2019",

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T1 - Multi-dimensional periodic problems for higher-order linear hyperbolic equations

AU - Kiguradze, Tariel

AU - Al Jaber, Noha

PY - 2019/6/1

Y1 - 2019/6/1

N2 - For higher-order linear hyperbolic equations the problem on periodic solutions is investigated. The concepts of associated problems, and α-well-posedness are introduced. Necessary and sufficient conditions of well-posedness in the two-dimensional case, as well as unimprovable sufficient conditions of well-posedness and α-well-posedness in the multi-dimensional case are established.

AB - For higher-order linear hyperbolic equations the problem on periodic solutions is investigated. The concepts of associated problems, and α-well-posedness are introduced. Necessary and sufficient conditions of well-posedness in the two-dimensional case, as well as unimprovable sufficient conditions of well-posedness and α-well-posedness in the multi-dimensional case are established.

KW - Higher-order hyperbolic equation

KW - linear

KW - multi-dimensional

KW - periodic

UR - https://www.scopus.com/pages/publications/85061718170

U2 - 10.1515/gmj-2019-2002

DO - 10.1515/gmj-2019-2002

M3 - Article

AN - SCOPUS:85061718170

SN - 1072-947X

VL - 26

SP - 235

EP - 256

JO - Georgian Mathematical Journal

JF - Georgian Mathematical Journal

IS - 2

ER -

Multi-dimensional periodic problems for higher-order linear hyperbolic equations

Abstract

Keywords

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