The blow-up curve of solutions of mixed problems for semilinear wave equations with exponential nonlinearities in one space dimension, I

Paul Godin

doi:10.1007/pl00009924

The blow-up curve of solutions of mixed problems for semilinear wave equations with exponential nonlinearities in one space dimension, I

Calculus of Variations and Partial Differential Equations ◽

10.1007/pl00009924 ◽

2001 ◽

Vol 13 (1) ◽

pp. 69-95 ◽

Cited By ~ 3

Author(s):

Paul Godin

Keyword(s):

Wave Equations ◽

Space Dimension ◽

Blow Up ◽

Semilinear Wave Equations ◽

Mixed Problems ◽

One Space Dimension

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The blow-up curve of solutions of mixed problems for semilinear wave equations with exponential nonlinearities in one space dimension, II

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/s0294-1449(00)00055-x ◽

2000 ◽

Vol 17 (6) ◽

pp. 779-815 ◽

Cited By ~ 2

Author(s):

Paul Godin

Keyword(s):

Wave Equations ◽

Space Dimension ◽

Blow Up ◽

Semilinear Wave Equations ◽

Mixed Problems ◽

One Space Dimension

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The blow-up curve of solutions for semilinear wave equations with Dirichlet boundary conditions in one space dimension

The Role of Metrics in the Theory of Partial Differential Equations ◽

10.2969/aspm/08510359 ◽

2020 ◽

Author(s):

Tetsuya Ishiwata ◽

Takiko Sasaki

Keyword(s):

Boundary Conditions ◽

Wave Equations ◽

Space Dimension ◽

Dirichlet Boundary ◽

Blow Up ◽

Dirichlet Boundary Conditions ◽

Semilinear Wave Equations ◽

One Space Dimension

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Blow up for a class of quasilinear wave equations in one space dimension

Mathematical Methods in the Applied Sciences ◽

10.1002/(sici)1099-1476(20000525)23:8<751::aid-mma138>3.0.co;2-u ◽

2000 ◽

Vol 23 (8) ◽

pp. 751-767

Author(s):

Yvan Martel

Keyword(s):

Wave Equations ◽

Space Dimension ◽

Blow Up ◽

Quasilinear Wave Equations ◽

One Space Dimension

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The lifespan of classical solutions of semilinear wave equations with spatial weights and compactly supported data in one space dimension

Journal of Differential Equations ◽

10.1016/j.jde.2021.10.062 ◽

2022 ◽

Vol 307 ◽

pp. 486-516

Author(s):

Shunsuke Kitamura ◽

Katsuaki Morisawa ◽

Hiroyuki Takamura

Keyword(s):

Wave Equations ◽

Space Dimension ◽

Classical Solutions ◽

Semilinear Wave Equations ◽

Compactly Supported ◽

Spatial Weights ◽

One Space Dimension

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Exact controllability for semilinear wave equations in one space dimension

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/s0294-1449(16)30221-9 ◽

1993 ◽

Vol 10 (1) ◽

pp. 109-129 ◽

Cited By ~ 119

Author(s):

E. Zuazua

Keyword(s):

Wave Equations ◽

Space Dimension ◽

Exact Controllability ◽

Semilinear Wave Equations ◽

One Space Dimension

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Global Existence and Blow-Up for Wave Equations with Weighted Nonlinear Terms in One Space Dimension

Interdisciplinary Information Sciences ◽

10.4036/iis.2013.143 ◽

2013 ◽

Vol 19 (2) ◽

pp. 143-148 ◽

Cited By ~ 1

Author(s):

Hideo KUBO ◽

Ayako OSAKA ◽

Muhammet YAZICI

Keyword(s):

Global Existence ◽

Wave Equations ◽

Space Dimension ◽

Blow Up ◽

One Space Dimension

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Existence, blow-up, and exponential decay estimates for a system of semilinear wave equations associated with the helicalflows of Maxwell fluid

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.3643 ◽

2015 ◽

Vol 39 (9) ◽

pp. 2334-2357

Author(s):

Le Thi Phuong Ngoc ◽

Cao Huu Hoa ◽

Nguyen Thanh Long

Keyword(s):

Exponential Decay ◽

Wave Equations ◽

Blow Up ◽

Maxwell Fluid ◽

Decay Estimates ◽

Semilinear Wave Equations

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A Lyapunov functional and blow-up results for a class of perturbed semilinear wave equations

Nonlinearity ◽

10.1088/0951-7715/25/9/2759 ◽

2012 ◽

Vol 25 (9) ◽

pp. 2759-2773 ◽

Cited By ~ 11

Author(s):

M A Hamza ◽

H Zaag

Keyword(s):

Lyapunov Functional ◽

Wave Equations ◽

Blow Up ◽

Semilinear Wave Equations

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The Blow-Up Rate for Strongly Perturbed Semilinear Wave Equations in the Conformal Case

Mathematical Physics Analysis and Geometry ◽

10.1007/s11040-015-9183-8 ◽

2015 ◽

Vol 18 (1) ◽

Cited By ~ 3

Author(s):

M. A. Hamza ◽

O. Saidi

Keyword(s):

Wave Equations ◽

Blow Up ◽

Semilinear Wave Equations ◽

Blow Up Rate

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Blow-up for semilinear wave equations with time-dependent damping in an exterior domain

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2020143 ◽

2020 ◽

Vol 19 (7) ◽

pp. 3885-3900

Author(s):

Mohamed Jleli ◽

◽

Bessem Samet

Keyword(s):

Exterior Domain ◽

Wave Equations ◽

Blow Up ◽

Time Dependent ◽

Semilinear Wave Equations

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