A competition between Fujita and Strauss type exponents for blow-up of semi-linear wave equations with scale-invariant damping and mass

Journal of Differential Equations ◽

10.1016/j.jde.2018.07.061 ◽

2019 ◽

Vol 266 (2-3) ◽

pp. 1176-1220 ◽

Author(s):

Alessandro Palmieri ◽

Michael Reissig

Keyword(s):

Wave Equations ◽

Blow Up ◽

Linear Wave ◽

Scale Invariant ◽

Linear Wave Equations

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Blow-up of Solutions for Quasi-Linear Wave Equations in Two Space Dimensions

North-Holland Mathematics Studies - Recent Topics in Nonlinear PDE ◽

10.1016/s0304-0208(08)71493-2 ◽

1984 ◽

pp. 87-91

Author(s):

Kyūya Masuda

Keyword(s):

Wave Equations ◽

Blow Up ◽

Linear Wave ◽

Two Space Dimensions ◽

Linear Wave Equations

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Blow-Up for Quasi-Linear Wave Equations in Three Space Dimensions

10.1007/978-1-4612-5409-6_39 ◽

1985 ◽

pp. 566-588

Author(s):

Fritz John

Keyword(s):

Wave Equations ◽

Blow Up ◽

Linear Wave ◽

Linear Wave Equations ◽

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Blow-up of solutions for some non-linear wave equations of Kirchhoff type with some dissipation

Nonlinear Analysis ◽

10.1016/j.na.2004.11.023 ◽

2006 ◽

Vol 65 (2) ◽

pp. 243-264 ◽

Author(s):

S.T. Wu ◽

L.Y. Tsai

Keyword(s):

Wave Equations ◽

Blow Up ◽

Linear Wave ◽

Kirchhoff Type ◽

Linear Wave Equations

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Blow-up for quasi-linear wave equations in three space dimensions

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.3160340103 ◽

1981 ◽

Vol 34 (1) ◽

pp. 29-51 ◽

Author(s):

Fritz John

Keyword(s):

Wave Equations ◽

Blow Up ◽

Linear Wave ◽

Linear Wave Equations ◽

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Blow-Up for Quasi-Linear Wave Equations in Three Space Dimensions

10.1007/978-1-4612-5406-5_39 ◽

1985 ◽

pp. 566-588

Author(s):

Fritz John

Keyword(s):

Wave Equations ◽

Blow Up ◽

Linear Wave ◽

Linear Wave Equations ◽

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Blow-up for solutions of some linear wave equations with mixed nonlinear boundary conditions

Applied Mathematics and Computation ◽

10.1016/s0096-3003(00)00069-2 ◽

2001 ◽

Vol 123 (1) ◽

pp. 133-140 ◽

Author(s):

A.M. Wazwaz

Keyword(s):

Boundary Conditions ◽

Wave Equations ◽

Nonlinear Boundary ◽

Blow Up ◽

Nonlinear Boundary Conditions ◽

Linear Wave ◽

Linear Wave Equations

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An elementary proof of the exponential blow-up for semi-linear wave equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.1670170403 ◽

1994 ◽

Vol 17 (4) ◽

pp. 239-249 ◽

Author(s):

Hiroyuki Takamura

Keyword(s):

Wave Equations ◽

Elementary Proof ◽

Blow Up ◽

Linear Wave ◽

Linear Wave Equations

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Pointwise Stabilization for Coupled Quasilinear and Linear Wave Equations.

10.21236/ada190031 ◽

1988 ◽

Author(s):

Goong Chen ◽

Han-Kun Wang

Keyword(s):

Wave Equations ◽

Linear Wave ◽

Linear Wave Equations

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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

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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 ◽

Author(s):

Zhijian Yang ◽

Zhiming Liu

Keyword(s):

Wave Equations ◽

Linear Wave ◽

Structural Damping ◽

Linear Wave Equations

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