Global Existence and Blowing Up of Solutions for Some Non-linear Wave Equations

Wei Xiao

doi:10.1007/s40840-016-0339-x

Global Existence and Blowing Up of Solutions for Some Non-linear Wave Equations

Bulletin of the Malaysian Mathematical Sciences Society ◽

10.1007/s40840-016-0339-x ◽

2016 ◽

Vol 40 (1) ◽

pp. 117-133 ◽

Cited By ~ 1

Author(s):

Wei Xiao

Keyword(s):

Global Existence ◽

Wave Equations ◽

Linear Wave ◽

Blowing Up ◽

Non Linear ◽

Linear Wave Equations

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On Global Existence, Asymptotic Stability and Blowing Up of Solutions for Some Degenerate Non-linear Wave Equations of Kirchhoff Type with a Strong Dissipation

Mathematical Methods in the Applied Sciences ◽

10.1002/(sici)1099-1476(19970125)20:2<151::aid-mma851>3.0.co;2-0 ◽

1997 ◽

Vol 20 (2) ◽

pp. 151-177 ◽

Cited By ~ 80

Author(s):

Kosuke Ono

Keyword(s):

Asymptotic Stability ◽

Global Existence ◽

Wave Equations ◽

Linear Wave ◽

Kirchhoff Type ◽

Blowing Up ◽

Non Linear ◽

Linear Wave Equations

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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 ◽

Cited By ~ 3

Author(s):

Vladimir Georgiev ◽

Pedro Paulo Schirmer

Keyword(s):

Global Existence ◽

Wave Equations ◽

Linear Wave ◽

Low Regularity ◽

Non Linear ◽

Low Regularity Solutions ◽

Linear Wave Equations

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Global existence, asymptotic behaviour, and global non-existence of solutions for damped non-linear wave equations of Kirchhoff type in the whole space

Mathematical Methods in the Applied Sciences ◽

10.1002/(sici)1099-1476(200004)23:6<535::aid-mma125>3.0.co;2-h ◽

2000 ◽

Vol 23 (6) ◽

pp. 535-560 ◽

Cited By ~ 11

Author(s):

Kosuke Ono

Keyword(s):

Global Existence ◽

Asymptotic Behaviour ◽

Wave Equations ◽

Existence Of Solutions ◽

Linear Wave ◽

Kirchhoff Type ◽

Non Linear ◽

Whole Space ◽

Linear Wave Equations

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Unsolved Problems in the Theory of Non-Linear Wave Equations

Many Degrees of Freedom in Field Theory ◽

10.1007/978-1-4615-8924-2_5 ◽

1978 ◽

pp. 147-162 ◽

Cited By ~ 1

Author(s):

Michael Reed

Keyword(s):

Wave Equations ◽

Linear Wave ◽

Non Linear ◽

Linear Wave Equations

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Uniqueness for stochastic non-linear wave equations

Nonlinear Analysis ◽

10.1016/j.na.2006.10.012 ◽

2007 ◽

Vol 67 (12) ◽

pp. 3287-3310 ◽

Cited By ~ 1

Author(s):

Martin Ondreját

Keyword(s):

Wave Equations ◽

Linear Wave ◽

Non Linear ◽

Linear Wave Equations

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Global estimates for non-linear wave equations and linear wave equations with non-linear boundary constraints

Ordinary and Partial Differential Equations - Lecture Notes in Mathematics ◽

10.1007/bfb0087362 ◽

1976 ◽

pp. 438-451 ◽

Cited By ~ 1

Author(s):

B. D. Sleeman

Keyword(s):

Wave Equations ◽

Linear Wave ◽

Linear Boundary ◽

Boundary Constraints ◽

Non Linear ◽

Global Estimates ◽

Linear Wave Equations

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Non-linear wave equations for free surface flow over a bump

Coastal Engineering Journal ◽

10.1080/21664250.2020.1712837 ◽

2020 ◽

Vol 62 (2) ◽

pp. 159-169

Author(s):

Shino Sakaguchi ◽

Keisuke Nakayama ◽

Thuy Thi Thu Vu ◽

Katsuaki Komai ◽

Peter Nielsen

Keyword(s):

Free Surface ◽

Wave Equations ◽

Free Surface Flow ◽

Surface Flow ◽

Linear Wave ◽

Non Linear ◽

Linear Wave Equations

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Global Spherically Symmetric Solutions of Non-linear Wave Equations with Null Condition on Extremal Reissner–Nordström Spacetimes

International Mathematics Research Notices ◽

10.1093/imrn/rnv240 ◽

2015 ◽

Vol 2016 (11) ◽

pp. 3279-3355 ◽

Cited By ~ 4

Author(s):

Yannis Angelopoulos

Keyword(s):

Wave Equations ◽

Linear Wave ◽

Spherically Symmetric ◽

Null Condition ◽

Spherically Symmetric Solutions ◽

Non Linear ◽

Linear Wave Equations

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Analyticity of global attractors and determining nodes for a class of damped non-linear wave equations

Sbornik Mathematics ◽

10.1070/sm2000v191n10abeh000519 ◽

2000 ◽

Vol 191 (10) ◽

pp. 1541-1559 ◽

Cited By ~ 2

Author(s):

I D Chueshov

Keyword(s):

Wave Equations ◽

Global Attractors ◽

Linear Wave ◽

Non Linear ◽

Linear Wave Equations ◽

Determining Nodes

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An elementary proof of global or almost global existence for quasi-linear wave equations

Tohoku Mathematical Journal ◽

10.2748/tmj/1113246554 ◽

2004 ◽

Vol 56 (2) ◽

pp. 271-287 ◽

Cited By ~ 19

Author(s):

Kunio Hidano

Keyword(s):

Global Existence ◽

Wave Equations ◽

Elementary Proof ◽

Linear Wave ◽

Linear Wave Equations

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