Global existence for damped semilinear wave equations outside obstacles in high dimensions

Lin Yinhe; Jiang Hongbiao; Yin Silu

doi:10.1360/n012016-00208

Global existence for damped semilinear wave equations outside obstacles in high dimensions

Scientia Sinica Mathematica ◽

10.1360/n012016-00208 ◽

2017 ◽

Vol 48 (4) ◽

pp. 507

Author(s):

Lin Yinhe ◽

Jiang Hongbiao ◽

Yin Silu

Keyword(s):

Global Existence ◽

Wave Equations ◽

High Dimensions ◽

Semilinear Wave Equations

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Global existence for semilinear wave equations with the critical blow-up term in high dimensions

Journal of Differential Equations ◽

10.1016/j.jde.2016.03.036 ◽

2016 ◽

Vol 261 (2) ◽

pp. 1046-1067

Author(s):

Hiroyuki Takamura ◽

Kyouhei Wakasa

Keyword(s):

Global Existence ◽

Wave Equations ◽

Blow Up ◽

High Dimensions ◽

Semilinear Wave Equations

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Global Existence for Dirichlet-wave Equations with Quadratic Nonlinearities in High Dimensions

Mathematische Annalen ◽

10.1007/s00208-006-0007-9 ◽

2006 ◽

Vol 336 (2) ◽

pp. 391-420 ◽

Cited By ~ 14

Author(s):

Jason Metcalfe ◽

Christopher D. Sogge

Keyword(s):

Global Existence ◽

Wave Equations ◽

High Dimensions ◽

Quadratic Nonlinearities

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Nonexistence of global solutions to semilinear wave equations in high dimensions

Journal of Differential Equations ◽

10.1016/0022-0396(84)90169-4 ◽

1984 ◽

Vol 52 (3) ◽

pp. 378-406 ◽

Cited By ~ 135

Author(s):

Thomas C Sideris

Keyword(s):

Wave Equations ◽

Global Solutions ◽

High Dimensions ◽

Semilinear Wave Equations

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Weighted Strichartz estimates and global existence for semilinear wave equations

American Journal of Mathematics ◽

10.1353/ajm.1997.0038 ◽

1997 ◽

Vol 119 (6) ◽

pp. 1291-1319 ◽

Cited By ~ 120

Author(s):

Vladimir Georgiev ◽

Hans Lindblad ◽

Christopher Donald Sogge

Keyword(s):

Global Existence ◽

Wave Equations ◽

Strichartz Estimates ◽

Semilinear Wave Equations

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Almost global existence for semilinear wave equations with mixed nonlinearities in four space dimensions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2017.10.058 ◽

2018 ◽

Vol 459 (1) ◽

pp. 236-246 ◽

Cited By ~ 5

Author(s):

Chengbo Wang ◽

Hao Zhou

Keyword(s):

Global Existence ◽

Wave Equations ◽

Semilinear Wave Equations ◽

Mixed Nonlinearities

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Global existence for exterior problems of semilinear wave equations with the null condition in $2$D

Evolution Equations and Control Theory ◽

10.3934/eect.2013.2.319 ◽

2013 ◽

Vol 2 (2) ◽

pp. 319-335 ◽

Cited By ~ 2

Author(s):

Hideo Kubo ◽

Keyword(s):

Global Existence ◽

Wave Equations ◽

Null Condition ◽

Semilinear Wave Equations ◽

Exterior Problems

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Global Existence and Blow-up for Semilinear Wave Equations with Variable Coefficients

Chinese Annals of Mathematics Series B ◽

10.1007/s11401-018-0087-3 ◽

2018 ◽

Vol 39 (4) ◽

pp. 643-664

Author(s):

Qian Lei ◽

Han Yang

Keyword(s):

Global Existence ◽

Wave Equations ◽

Blow Up ◽

Variable Coefficients ◽

Semilinear Wave Equations

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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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Global Existence Theorem for Semilinear Wave Equations with Non-compact Data in Two Space Dimensions

Journal of Differential Equations ◽

10.1006/jdeq.1993.1076 ◽

1993 ◽

Vol 104 (2) ◽

pp. 332-360 ◽

Cited By ~ 13

Author(s):

K. Tsutaya

Keyword(s):

Global Existence ◽

Existence Theorem ◽

Wave Equations ◽

Semilinear Wave Equations ◽

Global Existence Theorem ◽

Two Space Dimensions

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Global existence for semilinear wave equations in exterior domains

Nonlinear Analysis ◽

10.1016/s0362-546x(01)00372-8 ◽

2001 ◽

Vol 47 (4) ◽

pp. 2497-2506

Author(s):

Mitsuhiro Nakao

Keyword(s):

Global Existence ◽

Wave Equations ◽

Exterior Domains ◽

Semilinear Wave Equations

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