Global existence and asymptotic behavior for some multidimensional quasilinear hyperbolic systems

Journal of Differential Equations ◽

10.1016/j.jde.2020.06.051 ◽

2020 ◽

Vol 269 (11) ◽

pp. 9297-9309

Author(s):

Dongbing Zha ◽

Weimin Peng ◽

Yuming Qin

Keyword(s):

Asymptotic Behavior ◽

Global Existence ◽

Hyperbolic Systems ◽

Quasilinear Hyperbolic Systems

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Global existence and asymptotic behavior of classical solutions of quasilinear hyperbolic systems with linearly degenerate characteristic fields

Journal of Differential Equations ◽

10.1016/j.jde.2006.12.020 ◽

2007 ◽

Vol 235 (1) ◽

pp. 127-165 ◽

Author(s):

Wen-Rong Dai ◽

De-Xing Kong

Keyword(s):

Asymptotic Behavior ◽

Global Existence ◽

Hyperbolic Systems ◽

Classical Solutions ◽

Quasilinear Hyperbolic Systems ◽

Linearly Degenerate

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Corrigendum to “Global existence and asymptotic behavior of classical solutions of quasilinear hyperbolic systems with linearly degenerate characteristic fields” [J. Differential Equations 235 (2007) 127–165]

Journal of Differential Equations ◽

10.1016/j.jde.2007.09.004 ◽

2007 ◽

Vol 242 (2) ◽

pp. 322-323

Author(s):

Wen-Rong Dai ◽

De-Xing Kong

Keyword(s):

Asymptotic Behavior ◽

Global Existence ◽

Differential Equations ◽

Hyperbolic Systems ◽

Classical Solutions ◽

Quasilinear Hyperbolic Systems ◽

Linearly Degenerate

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Weak linear degeneracy and global existence of classical solutions for quasilinear hyperbolic systems

Nonlinear Evolutionary Partial Differential Equations - AMS/IP Studies in Advanced Mathematics ◽

10.1090/amsip/003/23 ◽

1996 ◽

pp. 283-291

Keyword(s):

Global Existence ◽

Hyperbolic Systems ◽

Classical Solutions ◽

Quasilinear Hyperbolic Systems ◽

Linear Degeneracy ◽

Weak Linear Degeneracy

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Remarks on energy approach for global existence of some one-dimension quasilinear hyperbolic systems

Journal of Differential Equations ◽

10.1016/j.jde.2019.04.014 ◽

2019 ◽

Vol 267 (11) ◽

pp. 6125-6132 ◽

Author(s):

Dongbing Zha

Keyword(s):

Global Existence ◽

Hyperbolic Systems ◽

Energy Approach ◽

One Dimension ◽

Quasilinear Hyperbolic Systems

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Global existence of classical solutions to the mixed initial–boundary value problem for quasilinear hyperbolic systems of diagonal form with large BV data

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2009.06.066 ◽

2009 ◽

Vol 360 (2) ◽

pp. 398-411 ◽

Author(s):

Zhi-Qiang Shao

Keyword(s):

Global Existence ◽

Boundary Value Problem ◽

Hyperbolic Systems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Classical Solutions ◽

Diagonal Form ◽

Quasilinear Hyperbolic Systems ◽

Initial Boundary Value

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Asymptotic behavior of global classical solutions to Goursat problem for quasilinear hyperbolic systems with small BV data

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-013-0327-z ◽

2013 ◽

Vol 65 (2) ◽

pp. 241-278

Author(s):

Zhi-Qiang Shao

Keyword(s):

Asymptotic Behavior ◽

Hyperbolic Systems ◽

Goursat Problem ◽

Classical Solutions ◽

Quasilinear Hyperbolic Systems ◽

Global Classical Solutions

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Asymptotic behavior of classical solutions of reducible quasilinear hyperbolic systems with characteristic boundaries

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2008.10.012 ◽

2009 ◽

Vol 351 (1) ◽

pp. 186-205 ◽

Author(s):

Yan-Zhi Duan

Keyword(s):

Asymptotic Behavior ◽

Hyperbolic Systems ◽

Classical Solutions ◽

Quasilinear Hyperbolic Systems

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Global existence of weak discontinuous solutions to the Cauchy problem with small BV initial data for quasilinear hyperbolic systems

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.3123 ◽

2014 ◽

Vol 38 (5) ◽

pp. 966-979 ◽

Author(s):

Libin Wang

Keyword(s):

Cauchy Problem ◽

Initial Data ◽

Global Existence ◽

Hyperbolic Systems ◽

Discontinuous Solutions ◽

Quasilinear Hyperbolic Systems ◽

The Cauchy Problem

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Global existence of classical solutions of Goursat problem for quasilinear hyperbolic systems of diagonal form with large BV data

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2013.12.2739 ◽

2013 ◽

Vol 12 (6) ◽

pp. 2739-2752

Author(s):

Zhi-Qiang Shao ◽

Keyword(s):

Global Existence ◽

Hyperbolic Systems ◽

Goursat Problem ◽

Classical Solutions ◽

Diagonal Form ◽

Quasilinear Hyperbolic Systems

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Global existence of classical solutions to the Cauchy problem for a kind of quasilinear hyperbolic systems in divergence form

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2009.05.050 ◽

2009 ◽

Vol 359 (2) ◽

pp. 570-580

Author(s):

Yan Guan

Keyword(s):

Cauchy Problem ◽

Global Existence ◽

Hyperbolic Systems ◽

Divergence Form ◽

Classical Solutions ◽

Quasilinear Hyperbolic Systems ◽

The Cauchy Problem

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