Global Existence and Compactness in L for the Quasi–Linear Wave Equation

doi:10.1080/03605309408821075

Global Existence and Compactness in L for the Quasi–Linear Wave Equation

Communications in Partial Differential Equations ◽

10.1080/03605309408821075 ◽

1994 ◽

Vol 19 (11-12) ◽

pp. 1831-1887

Keyword(s):

Wave Equation ◽

Global Existence ◽

Linear Wave ◽

Linear Wave Equation

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Global existence, uniform decay and exponential growth for a class of semi-linear wave equation with strong damping

Acta Mathematica Scientia ◽

10.1016/s0252-9602(12)60193-3 ◽

2013 ◽

Vol 33 (1) ◽

pp. 41-58 ◽

Cited By ~ 18

Author(s):

Hua CHEN ◽

Gongwei LIU

Keyword(s):

Wave Equation ◽

Global Existence ◽

Exponential Growth ◽

Linear Wave ◽

Linear Wave Equation ◽

Uniform Decay ◽

Strong Damping

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Global existence and uniform decay rates for the semi-linear wave equation with damping and source terms

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2013.12.012 ◽

2014 ◽

Vol 67 (3) ◽

pp. 692-707 ◽

Cited By ~ 3

Author(s):

Tae Gab Ha ◽

Daewook Kim ◽

Il Hyo Jung

Keyword(s):

Wave Equation ◽

Global Existence ◽

Decay Rates ◽

Linear Wave ◽

Source Terms ◽

Linear Wave Equation ◽

Uniform Decay ◽

Damping And Source Terms

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Global existence and asymptotic behavior of solutions for a semi-linear wave equation

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2011.07.010 ◽

2012 ◽

Vol 385 (2) ◽

pp. 836-853 ◽

Cited By ~ 25

Author(s):

Yu-Zhu Wang ◽

Fagui Liu ◽

Yuanzhang Zhang

Keyword(s):

Asymptotic Behavior ◽

Wave Equation ◽

Global Existence ◽

Asymptotic Behavior Of Solutions ◽

Linear Wave ◽

Linear Wave Equation

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Global existence of smooth solutions to the initial–boundary value problem for the quasi-linear wave equation with a localized degenerate dissipation

Nonlinear Analysis ◽

10.1016/s0362-546x(98)00179-5 ◽

2000 ◽

Vol 39 (2) ◽

pp. 187-205 ◽

Cited By ~ 11

Author(s):

Mitsuhiro Nakao

Keyword(s):

Wave Equation ◽

Global Existence ◽

Boundary Value Problem ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Linear Wave ◽

Smooth Solutions ◽

Linear Wave Equation ◽

Initial Boundary Value

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Global existence and energy decay for a damped quasi-linear wave equation

Mathematical Methods in the Applied Sciences ◽

10.1002/(sici)1099-1476(19980910)21:13<1185::aid-mma989>3.0.co;2-q ◽

1998 ◽

Vol 21 (13) ◽

pp. 1185-1194 ◽

Cited By ~ 7

Author(s):

Mohammed Aassila

Keyword(s):

Wave Equation ◽

Global Existence ◽

Energy Decay ◽

Linear Wave ◽

Linear Wave Equation

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On global existence and nonexistence of solutions to a quasi-linear wave equation with memory, nonlinear damping and source terms

Scientific African ◽

10.1016/j.sciaf.2021.e00974 ◽

2021 ◽

pp. e00974

Author(s):

Paul A. Ogbiyele

Keyword(s):

Wave Equation ◽

Global Existence ◽

Nonlinear Damping ◽

Linear Wave ◽

Source Terms ◽

Linear Wave Equation ◽

Existence And Nonexistence ◽

Nonexistence Of Solutions ◽

Damping And Source Terms ◽

With Memory

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Global existence of solution of Cauchy problem for a non-linear wave equation

IMA Journal of Applied Mathematics ◽

10.1093/imamat/hxs005 ◽

2012 ◽

Vol 78 (5) ◽

pp. 1015-1031

Author(s):

G. Chen ◽

X. Han

Keyword(s):

Cauchy Problem ◽

Wave Equation ◽

Global Existence ◽

Existence Of Solution ◽

Linear Wave ◽

Linear Wave Equation ◽

Non Linear

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Global existence of solutions for semi-linear wave equation with scale-invariant damping and mass in exponentially weighted spaces

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2018.01.063 ◽

2018 ◽

Vol 461 (2) ◽

pp. 1215-1240 ◽

Cited By ~ 12

Author(s):

Alessandro Palmieri

Keyword(s):

Wave Equation ◽

Global Existence ◽

Existence Of Solutions ◽

Weighted Spaces ◽

Linear Wave ◽

Scale Invariant ◽

Linear Wave Equation ◽

Global Existence Of Solutions ◽

Exponentially Weighted

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$L^p$ estimates for the linear wave equation and global existence for semilinear wave equations in exterior domains

Mathematische Annalen ◽

10.1007/pl00004463 ◽

2001 ◽

Vol 320 (1) ◽

pp. 11-31 ◽

Cited By ~ 5

Author(s):

Mitsuhiro Nakao

Keyword(s):

Wave Equation ◽

Global Existence ◽

Wave Equations ◽

Linear Wave ◽

Exterior Domains ◽

Linear Wave Equation ◽

Semilinear Wave Equations

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Energy decay rate for a quasi-linear wave equation with localized strong dissipation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2011.04.064 ◽

2011 ◽

Vol 62 (1) ◽

pp. 164-172 ◽

Cited By ~ 3

Author(s):

Daewook Kim ◽

Yong Han Kang ◽

Mi Jin Lee ◽

Il Hyo Jung

Keyword(s):

Wave Equation ◽

Decay Rate ◽

Energy Decay ◽

Linear Wave ◽

Linear Wave Equation ◽

Energy Decay Rate

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