Revisit to Fritz John’s paper on the blow-up of nonlinear wave equations

Applied Mathematics Letters ◽

10.1016/j.aml.2015.11.012 ◽

2016 ◽

Vol 55 ◽

pp. 27-35

Author(s):

Xin Yang ◽

Zhengfang Zhou

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Blow Up ◽

Nonlinear Wave Equations

Get full-text (via PubEx)

Corrigendum to “Existence, blow-up and exponential decay estimates for a system of nonlinear wave equations with nonlinear boundary conditions” [Math Meth Appl Sci. 37 (4) (2014) 464-487. https://doi.org/10.1002/mma.2803]

10.22541/au.160068432.24998300 ◽

2020 ◽

Author(s):

Le Thi Phuong Ngoc ◽

Nguyen Thanh Long

Keyword(s):

Boundary Conditions ◽

Nonlinear Wave ◽

Exponential Decay ◽

Wave Equations ◽

Nonlinear Boundary ◽

Blow Up ◽

Nonlinear Boundary Conditions ◽

Nonlinear Wave Equations ◽

Decay Estimates

Get full-text (via PubEx)

Blow up of positive initial-energy solutions for coupled nonlinear wave equations with degenerate damping and source terms

Boundary Value Problems ◽

10.1186/s13661-015-0306-8 ◽

2015 ◽

Vol 2015 (1) ◽

Cited By ~ 2

Author(s):

Erhan Pişkin

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Blow Up ◽

Initial Energy ◽

Nonlinear Wave Equations ◽

Source Terms ◽

Positive Initial Energy ◽

Damping And Source Terms

Get full-text (via PubEx)

Bounded solutions and blow-up in nonlinear wave equations

Equadiff 99 ◽

10.1142/9789812792617_0066 ◽

2000 ◽

pp. 339-341 ◽

Cited By ~ 1

Author(s):

Jorge A. Esquivel-Avila

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Blow Up ◽

Nonlinear Wave Equations ◽

Bounded Solutions

Get full-text (via PubEx)

Differentiability of the blow-up curve for one dimensional nonlinear wave equations

Archive for Rational Mechanics and Analysis ◽

10.1007/bf00280224 ◽

1985 ◽

Vol 91 (1) ◽

pp. 83-98 ◽

Cited By ~ 32

Author(s):

Luis A. Caffarelli ◽

Avner Friedman

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Blow Up ◽

Nonlinear Wave Equations ◽

One Dimensional

Get full-text (via PubEx)

On decay and blow-up of solutions for a system of nonlinear wave equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2012.04.054 ◽

2012 ◽

Vol 394 (1) ◽

pp. 360-377 ◽

Cited By ~ 6

Author(s):

Shun-Tang Wu

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Blow Up ◽

Nonlinear Wave Equations

Get full-text (via PubEx)

On existence, uniform decay rates and blow up for solutions of systems of nonlinear wave equations with damping and source terms

Discrete & Continuous Dynamical Systems - S ◽

10.3934/dcdss.2009.2.583 ◽

2009 ◽

Vol 2 (3) ◽

pp. 583-608 ◽

Cited By ~ 42

Author(s):

Claudianor O. Alves ◽

◽

M. M. Cavalcanti ◽

Valeria N. Domingos Cavalcanti ◽

Mohammad A. Rammaha ◽

...

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Blow Up ◽

Decay Rates ◽

Nonlinear Wave Equations ◽

Source Terms ◽

Uniform Decay ◽

Damping And Source Terms

Get full-text (via PubEx)

Blow-up phenomena for a class of fourth-order nonlinear wave equations with a viscous damping term

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.3623 ◽

2015 ◽

pp. n/a-n/a ◽

Cited By ~ 1

Author(s):

Ali Khelghati ◽

Khadijeh Baghaei

Keyword(s):

Nonlinear Wave ◽

Fourth Order ◽

Wave Equations ◽

Blow Up ◽

Nonlinear Wave Equations ◽

Viscous Damping ◽

Damping Term

Get full-text (via PubEx)

Blow up near higher modes of nonlinear wave equations

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1986-0837814-7 ◽

1986 ◽

Vol 296 (1) ◽

pp. 315-315 ◽

Cited By ~ 4

Author(s):

Natalia Sternberg

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Blow Up ◽

Nonlinear Wave Equations ◽

Higher Modes

Get full-text (via PubEx)

Global solutions and finite time blow up for some system of nonlinear wave equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2012.10.005 ◽

2012 ◽

Vol 219 (8) ◽

pp. 3754-3768 ◽

Cited By ~ 1

Author(s):

Wei Xiao ◽

Yan Ping

Keyword(s):

Nonlinear Wave ◽

Finite Time ◽

Wave Equations ◽

Blow Up ◽

Global Solutions ◽

Nonlinear Wave Equations

Get full-text (via PubEx)

Blow-up of solutions of some nonlinear wave equations

Differential Equations ◽

10.1134/s0012266109010078 ◽

2009 ◽

Vol 45 (1) ◽

pp. 59-67 ◽

Cited By ~ 2

Author(s):

E. I. Galakhov

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Blow Up ◽

Nonlinear Wave Equations

Get full-text (via PubEx)