Global existence of solutions for semilinear damped wave equations in R with noncompactly supported initial data

Ryo Ikehata; Kensuke Tanizawa

doi:10.1016/j.na.2005.01.097

Global existence of solutions for semilinear damped wave equations in R with noncompactly supported initial data

Nonlinear Analysis ◽

10.1016/j.na.2005.01.097 ◽

2005 ◽

Vol 61 (7) ◽

pp. 1189-1208 ◽

Cited By ~ 65

Author(s):

Ryo Ikehata ◽

Kensuke Tanizawa

Keyword(s):

Initial Data ◽

Global Existence ◽

Wave Equations ◽

Existence Of Solutions ◽

Global Existence Of Solutions

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On global existence of solutions to nonlinear wave equations of wave map type

Nonlinear Analysis ◽

10.1016/s0362-546x(99)00153-4 ◽

2000 ◽

Vol 42 (7) ◽

pp. 1231-1252 ◽

Cited By ~ 5

Author(s):

Kenji Nakanishi ◽

Masahito Ohta

Keyword(s):

Global Existence ◽

Nonlinear Wave ◽

Wave Equations ◽

Existence Of Solutions ◽

Nonlinear Wave Equations ◽

Global Existence Of Solutions

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GLOBAL EXISTENCE OF SOLUTIONS FOR THE DEGENERATE WAVE EQUATIONS OF KIRCHOFF TYPE WITH NONLINEAR DISSIPATIVE TERM OF VARIABLE COEFFICIENT

Pesquimat ◽

10.15381/pes.v4i1.9275 ◽

2014 ◽

Vol 4 (1) ◽

Author(s):

Eugenio Cabanillas Lapa ◽

Juan Benito Bernui Barros ◽

Zacarías Luis Huaringa Segura

Keyword(s):

Global Existence ◽

Variable Coefficient ◽

Wave Equations ◽

Existence Of Solutions ◽

Dissipative Term ◽

Global Existence Of Solutions

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A theorem of global existence of solutions to nonlinear wave equations in four space dimensions

Monatshefte für Mathematik ◽

10.1007/bf01302932 ◽

1990 ◽

Vol 109 (2) ◽

pp. 123-134

Author(s):

Jianmin Gao

Keyword(s):

Global Existence ◽

Nonlinear Wave ◽

Wave Equations ◽

Existence Of Solutions ◽

Nonlinear Wave Equations ◽

Global Existence Of Solutions

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THE NULL CONDITION AND GLOBAL EXISTENCE OF SOLUTIONS TO SYSTEMS OF WAVE EQUATIONS WITH DIFFERENT SPEEDS

Series on Advances in Mathematics for Applied Sciences - Advances in Nonlinear Partial Differential Equations and Stochastics ◽

10.1142/9789812816481_0002 ◽

1998 ◽

pp. 43-86 ◽

Cited By ~ 7

Author(s):

RENTARO AGEMI ◽

KAZUYOSHI YOKOYAMA

Keyword(s):

Global Existence ◽

Wave Equations ◽

Existence Of Solutions ◽

Null Condition ◽

Global Existence Of Solutions

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Global Existence of Solutions for the Cauchy Problem of the Kawahara Equation with L 2 Initial Data

Acta Mathematica Sinica English Series ◽

10.1007/s10114-005-0710-6 ◽

2006 ◽

Vol 22 (5) ◽

pp. 1457-1466 ◽

Cited By ~ 55

Author(s):

Shang Bin Cui ◽

Dong Gao Deng ◽

Shuang Ping Tao

Keyword(s):

Cauchy Problem ◽

Initial Data ◽

Global Existence ◽

Existence Of Solutions ◽

Kawahara Equation ◽

Global Existence Of Solutions ◽

The Cauchy Problem

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Global existence of solutions for a weakly coupled system of semilinear damped wave equations

Journal of Differential Equations ◽

10.1016/j.jde.2015.05.014 ◽

2015 ◽

Vol 259 (8) ◽

pp. 4172-4201 ◽

Cited By ~ 6

Author(s):

Kenji Nishihara ◽

Yuta Wakasugi

Keyword(s):

Global Existence ◽

Wave Equations ◽

Existence Of Solutions ◽

Coupled System ◽

Global Existence Of Solutions ◽

Weakly Coupled ◽

Weakly Coupled System

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Global Existence of Solutions to Multiple Speed Systems of Quasilinear Wave Equations in Exterior Domains

Forum Mathematicum ◽

10.1515/form.2005.17.1.133 ◽

2005 ◽

Vol 17 (1) ◽

Cited By ~ 17

Author(s):

Jason Metcalfe ◽

Makoto Nakamura ◽

Christopher D. Sogge

Keyword(s):

Global Existence ◽

Wave Equations ◽

Existence Of Solutions ◽

Exterior Domains ◽

Global Existence Of Solutions ◽

Quasilinear Wave Equations

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Global existence of solutions of the spherically symmetric Vlasov-Einstein system with small initial data

Communications in Mathematical Physics ◽

10.1007/bf02099559 ◽

1996 ◽

Vol 176 (2) ◽

pp. 475-478 ◽

Cited By ~ 8

Author(s):

G. Rein ◽

A. D. Rendall

Keyword(s):

Initial Data ◽

Global Existence ◽

Existence Of Solutions ◽

Spherically Symmetric ◽

Small Initial Data ◽

Global Existence Of Solutions

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Global existence of solutions for the Einstein–Boltzmann system in a Bianchi type I spacetime for arbitrarily large initial data

Classical and Quantum Gravity ◽

10.1088/0264-9381/23/9/013 ◽

2006 ◽

Vol 23 (9) ◽

pp. 2979-3003 ◽

Cited By ~ 13

Author(s):

Norbert Noutchegueme ◽

David Dongo

Keyword(s):

Initial Data ◽

Global Existence ◽

Bianchi Type ◽

Existence Of Solutions ◽

Type I ◽

Large Initial Data ◽

Bianchi Type I ◽

Global Existence Of Solutions

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Global existence of solutions of the critical semilinear wave equations with variable coefficients outside obstacles

Science China Mathematics ◽

10.1007/s11425-010-4107-3 ◽

2011 ◽

Vol 54 (2) ◽

pp. 205-220 ◽

Cited By ~ 1

Author(s):

NingAn Lai ◽

Yi Zhou

Keyword(s):

Global Existence ◽

Wave Equations ◽

Existence Of Solutions ◽

Variable Coefficients ◽

Semilinear Wave Equations ◽

Global Existence Of Solutions

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