Critical counterexamples for linear wave equations with time-dependent propagation speed

Marina Ghisi; Massimo Gobbino

doi:10.1016/j.jde.2020.08.044

Critical counterexamples for linear wave equations with time-dependent propagation speed

Journal of Differential Equations ◽

10.1016/j.jde.2020.08.044 ◽

2020 ◽

Vol 269 (12) ◽

pp. 11435-11460 ◽

Cited By ~ 1

Author(s):

Marina Ghisi ◽

Massimo Gobbino

Keyword(s):

Wave Equations ◽

Propagation Speed ◽

Time Dependent ◽

Linear Wave ◽

Linear Wave Equations

Linear wave equations with time-dependent propagation speed and strong damping

Journal of Differential Equations ◽

10.1016/j.jde.2015.09.037 ◽

2016 ◽

Vol 260 (2) ◽

pp. 1585-1621 ◽

Cited By ~ 5

Author(s):

Marina Ghisi ◽

Massimo Gobbino

Keyword(s):

Wave Equations ◽

Propagation Speed ◽

Time Dependent ◽

Linear Wave ◽

Strong Damping ◽

Linear Wave Equations

Diffusion phenomenon for abstract linear wave equations with time decaying coefficients of propagation and dissipation

Asymptotic Analysis ◽

10.3233/asy-201665 ◽

2021 ◽

pp. 1-53

Author(s):

Taeko Yamazaki

Keyword(s):

Wave Equations ◽

Propagation Speed ◽

Linear Wave ◽

Diffusion Phenomenon ◽

Linear Wave Equations

We show diffusion phenomenon for linear abstract dissipative wave equations with time dependant coefficients of propagation speed and dissipation. Coefficients are decaying in time but not assumed to be monotone.

Pointwise Stabilization for Coupled Quasilinear and Linear Wave Equations.

10.21236/ada190031 ◽

1988 ◽

Cited By ~ 1

Author(s):

Goong Chen ◽

Han-Kun Wang

Keyword(s):

Wave Equations ◽

Linear Wave ◽

Linear Wave Equations

All‐at‐once solution of linear wave equations

Numerical Linear Algebra with Applications ◽

10.1002/nla.2386 ◽

2021 ◽

Author(s):

Federico Danieli ◽

Andrew J. Wathen

Keyword(s):

Wave Equations ◽

Linear Wave ◽

Linear Wave Equations

On the energy estimates of semi-discrete wave equations with time dependent propagation speed

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2020.124798 ◽

2021 ◽

Vol 496 (1) ◽

pp. 124798

Author(s):

Fumihiko Hirosawa

Keyword(s):

Wave Equations ◽

Propagation Speed ◽

Time Dependent ◽

Energy Estimates

Longtime dynamics of the quasi-linear wave equations with structural damping and supercritical nonlinearities

Nonlinearity ◽

10.1088/1361-6544/aa599f ◽

2017 ◽

Vol 30 (3) ◽

pp. 1120-1145 ◽

Cited By ~ 2

Author(s):

Zhijian Yang ◽

Zhiming Liu

Keyword(s):

Wave Equations ◽

Linear Wave ◽

Structural Damping ◽

Linear Wave Equations

Asymptotic solutions and spectral theory of linear wave equations

Physics Reports ◽

10.1016/0370-1573(82)90075-8 ◽

1982 ◽

Vol 86 (5) ◽

pp. 217-316 ◽

Cited By ~ 20

Author(s):

J.A. Adam

Keyword(s):

Spectral Theory ◽

Wave Equations ◽

Asymptotic Solutions ◽

Linear Wave ◽

Linear Wave Equations

Self-similar solutions and semi-linear wave equations in Besov spaces

Journal de Mathématiques Pures et Appliquées ◽

10.1016/s0021-7824(00)00166-5 ◽

2000 ◽

Vol 79 (8) ◽

pp. 809-820 ◽

Cited By ~ 23

Author(s):

Fabrice Planchon

Keyword(s):

Besov Spaces ◽

Wave Equations ◽

Linear Wave ◽

Self Similar ◽

Linear Wave Equations ◽

Unsolved Problems in the Theory of Non-Linear Wave Equations

Many Degrees of Freedom in Field Theory ◽

10.1007/978-1-4615-8924-2_5 ◽

1978 ◽

pp. 147-162 ◽

Cited By ~ 1

Author(s):

Michael Reed

Keyword(s):

Wave Equations ◽

Linear Wave ◽

Non Linear ◽

Linear Wave Equations

Uniqueness for stochastic non-linear wave equations

Nonlinear Analysis ◽

10.1016/j.na.2006.10.012 ◽

2007 ◽

Vol 67 (12) ◽

pp. 3287-3310 ◽

Cited By ~ 1

Author(s):

Martin Ondreját

Keyword(s):

Wave Equations ◽

Linear Wave ◽

Non Linear ◽

Linear Wave Equations