Global classical solutions for general quasilinear hyperbolic systems with decay initial data

Nonlinear Analysis ◽

10.1016/0362-546x(95)00228-n ◽

1997 ◽

Vol 28 (8) ◽

pp. 1299-1332 ◽

Author(s):

Li Ta-Tsien ◽

Zhou Yi ◽

Kong De-Xing

Keyword(s):

Initial Data ◽

Hyperbolic Systems ◽

Classical Solutions ◽

Quasilinear Hyperbolic Systems ◽

Global Classical Solutions

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Asymptotic behaviour of global classical solutions of diagonalizable quasilinear hyperbolic systems

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.797 ◽

2007 ◽

Vol 30 (4) ◽

pp. 479-500 ◽

Author(s):

Jianli Liu ◽

Yi Zhou

Keyword(s):

Asymptotic Behaviour ◽

Hyperbolic Systems ◽

Classical Solutions ◽

Quasilinear Hyperbolic Systems ◽

Global Classical Solutions

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Global classical solutions to a kind of mixed initial-boundary value problem for inhomogeneous quasilinear hyperbolic systems

Applications of Mathematics ◽

10.1007/s10492-012-0015-x ◽

2012 ◽

Vol 57 (3) ◽

pp. 231-261

Author(s):

Yong-Fu Yang

Keyword(s):

Boundary Value Problem ◽

Hyperbolic Systems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Classical Solutions ◽

Quasilinear Hyperbolic Systems ◽

Global Classical Solutions ◽

Initial Boundary Value

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Life-span of classical solutions to quasilinear hyperbolic systems with slow decay initial data

Chinese Annals of Mathematics Series B ◽

10.1007/bf02498781 ◽

2000 ◽

Vol 21 (4) ◽

pp. 413-440

Author(s):

Kong Dexing

Keyword(s):

Initial Data ◽

Life Span ◽

Hyperbolic Systems ◽

Classical Solutions ◽

Quasilinear Hyperbolic Systems ◽

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Point-wise decay estimate for the global classical solutions to quasilinear hyperbolic systems

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.1103 ◽

2009 ◽

Vol 32 (13) ◽

pp. 1669-1680 ◽

Author(s):

Yi Zhou

Keyword(s):

Decay Estimate ◽

Hyperbolic Systems ◽

Classical Solutions ◽

Quasilinear Hyperbolic Systems ◽

Global Classical Solutions

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Asymptotic behaviour of global classical solutions to the mixed initial-boundary value problem for diagonalizable quasilinear hyperbolic systems

IMA Journal of Applied Mathematics ◽

10.1093/imamat/hxr032 ◽

2011 ◽

Vol 78 (1) ◽

pp. 1-31 ◽

Author(s):

Z.-Q. Shao

Keyword(s):

Boundary Value Problem ◽

Asymptotic Behaviour ◽

Hyperbolic Systems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Classical Solutions ◽

Quasilinear Hyperbolic Systems ◽

Global Classical Solutions ◽

Initial Boundary Value

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GLOBAL CLASSICAL SOLUTIONS WITH SMALL INITIAL TOTAL VARIATION FOR QUASILINEAR HYPERBOLIC SYSTEMS

Chinese Annals of Mathematics Series B ◽

10.1142/s0252959902000316 ◽

2002 ◽

Vol 23 (03) ◽

pp. 335-348 ◽

Author(s):

PING YAN

Keyword(s):

Total Variation ◽

Hyperbolic Systems ◽

Classical Solutions ◽

Quasilinear Hyperbolic Systems ◽

Global Classical Solutions

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Global classical solutions to partially dissipative quasilinear hyperbolic systems

Chinese Annals of Mathematics Series B ◽

10.1007/s11401-011-0666-z ◽

2011 ◽

Vol 32 (5) ◽

pp. 771-780 ◽

Author(s):

Yi Zhou

Keyword(s):

Hyperbolic Systems ◽

Classical Solutions ◽

Quasilinear Hyperbolic Systems ◽

Global Classical Solutions

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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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Global classical solutions to partially dissipative quasilinear hyperbolic systems with weaker restrictions on wave interactions

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.2701 ◽

2012 ◽

Vol 36 (12) ◽

pp. 1520-1532 ◽

Author(s):

Peng Qu

Keyword(s):

Hyperbolic Systems ◽

Classical Solutions ◽

Wave Interactions ◽

Quasilinear Hyperbolic Systems ◽

Global Classical Solutions

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Weak linear degeneracy and global classical solutions for general quasilinear hyperbolic systems

Communications in Partial Differential Equations ◽

10.1080/03605309408821055 ◽

1994 ◽

Vol 19 (7-8) ◽

pp. 1263-1317 ◽

Author(s):

Li Ta-tsien ◽

Zhou Yi ◽

Kong De-xing

Keyword(s):

Hyperbolic Systems ◽

Classical Solutions ◽

Quasilinear Hyperbolic Systems ◽

Global Classical Solutions ◽

Linear Degeneracy ◽

Weak Linear Degeneracy

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