Thresholds for low regularity solutions to wave equations with structural damping

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2020.124669 ◽

2021 ◽

Vol 494 (2) ◽

pp. 124669

Author(s):

Tomonori Fukushima ◽

Ryo Ikehata ◽

Hironori Michihisa

Keyword(s):

Wave Equations ◽

Structural Damping ◽

Low Regularity ◽

Low Regularity Solutions

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Global existence of low regularity solutions of non-linear wave equations

Mathematische Zeitschrift ◽

10.1007/bf02572346 ◽

1995 ◽

Vol 219 (1) ◽

pp. 1-19 ◽

Author(s):

Vladimir Georgiev ◽

Pedro Paulo Schirmer

Keyword(s):

Global Existence ◽

Wave Equations ◽

Linear Wave ◽

Low Regularity ◽

Low Regularity Solutions ◽

Linear Wave Equations

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low-regularity solutions to nonlinear wave equations

Duke Mathematical Journal ◽

10.1215/s0012-7094-93-07219-5 ◽

1993 ◽

Vol 72 (2) ◽

pp. 503-539 ◽

Author(s):

Hans Lindblad

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Low Regularity ◽

Low Regularity Solutions

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Low regularity solutions for a class of nonlinear wave equations

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-05-07813-5 ◽

2005 ◽

Vol 133 (9) ◽

pp. 2721-2727 ◽

Author(s):

Nikolaos Bournaveas

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Low Regularity ◽

Low Regularity Solutions

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On the low regularity solutions and wave breaking for an equation modeling shallow water waves of moderate amplitude

Nonlinear Analysis ◽

10.1016/j.na.2014.04.021 ◽

2014 ◽

Vol 107 ◽

pp. 1-11 ◽

Author(s):

Xingxing Liu ◽

Jingjing Liu

Keyword(s):

Shallow Water ◽

Water Waves ◽

Wave Breaking ◽

Equation Modeling ◽

Shallow Water Waves ◽

Low Regularity ◽

Low Regularity Solutions

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Longtime dynamics of the quasi-linear wave equations with structural damping and supercritical nonlinearities

Nonlinearity ◽

10.1088/1361-6544/aa599f ◽

2017 ◽

Vol 30 (3) ◽

pp. 1120-1145 ◽

Author(s):

Zhijian Yang ◽

Zhiming Liu

Keyword(s):

Wave Equations ◽

Linear Wave ◽

Structural Damping ◽

Linear Wave Equations

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Low regularity solutions of the Chern–Simons–Higgs equations

Nonlinearity ◽

10.1088/0951-7715/18/6/009 ◽

2005 ◽

Vol 18 (6) ◽

pp. 2581-2589 ◽

Author(s):

Hyungjin Huh

Keyword(s):

Low Regularity ◽

Low Regularity Solutions ◽

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Wave Equations and Symmetric First-order Systems in Case of Low Regularity

Pseudo-Differential Operators, Generalized Functions and Asymptotics ◽

10.1007/978-3-0348-0585-8_15 ◽

2013 ◽

pp. 283-296

Author(s):

Clemens Hanel ◽

Günther Hörmann ◽

Christian Spreitzer ◽

Roland Steinbauer

Keyword(s):

Wave Equations ◽

Low Regularity ◽

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Low-regularity solutions of the periodic Fornberg–Whitham equation

Journal of Mathematical Physics ◽

10.1063/1.3158852 ◽

2009 ◽

Vol 50 (7) ◽

pp. 073507 ◽

Author(s):

Lixin Tian ◽

Yuexia Chen ◽

Xiuping Jiang ◽

Limeng Xia

Keyword(s):

Low Regularity ◽

Low Regularity Solutions ◽

Whitham Equation

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Existence and uniqueness of low regularity solutions for a class of nonlinear dispersive equations

10.1063/1.2205041 ◽

2006 ◽

Author(s):

Octavian G. Mustafa

Keyword(s):

Existence And Uniqueness ◽

Dispersive Equations ◽

Low Regularity ◽

Nonlinear Dispersive Equations ◽

Low Regularity Solutions

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Low regularity solutions to the stochastic geometric wave equation driven by a fractional Brownian sheet

Comptes Rendus. Mathématique ◽

10.5802/crmath.38 ◽

2020 ◽

Vol 358 (6) ◽

pp. 633-639

Author(s):

Zdzisław Brzeźniak ◽

Nimit Rana

Keyword(s):

Wave Equation ◽

Brownian Sheet ◽

Fractional Brownian Sheet ◽

Low Regularity ◽

Low Regularity Solutions

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