[1] |
Agemi R, Kurokawa Y, Takamura H. Critical curve for - systems of nonlinear wave equations in three space dimensions. J Differential Equations, 2000, 167: 87-133
|
[2] |
Chen W H. Interplay effects on blow-up of weakly coupled systems for semilinear wave equations with general nonlinear memory terms. Nonlinear Anal, 2021, 202: 112160
|
[3] |
Chen W H, Palmieri A. Blow-up result for a semilinear wave equation with a nonlinear memory term.// Cicognani M, Del Santo D, Parmeggiani A, Reissig M. Anomalies in Partial Differential Equations. Cham: Springer, 2021, 43: 77-97
|
[4] |
Chen W H, Reissig M. Blow-up of solutions to Nakao's problem via an iteration argument. J Differential Equations, 2021, 275: 733-756
|
[5] |
D'Abbicco M. The threshold of effective damping for semilinear wave equations. Math Methods Appl Sci, 2015, 38(6): 1032-1045
|
[6] |
Friedman A. Partial Differential Equations. New York: Krieger, 1976
|
[7] |
Georgiev V, Lindblad H, Sogge C D. Weighted Strichartz estimates and global existence for semilinear wave equations. Amer J Math, 1997, 119(6): 1291-1319
|
[8] |
Glassey R T. Existence in the large for           in two space dimensions. Math Z, 1981, 178: 233-261
|
[9] |
Glassey R T. Finite-time blow-up for solutions of nonlinear wave equations. Math Z, 1981, 177(3): 323-340
|
[10] |
Ikeda M, Sobajima M. Life-span of solutions to semilinear wave equation with time-dependent critical damping for specially localized initial data. Math Ann, 2018, 372(3/4): 1017-1040
|
[11] |
Ikeda M, Sobajima M, Wakasa K. Blow-up phenomena of semilinear wave equations and their weakly coupled systems. J Differential Equations, 2019, 267(9): 5165-5201
|
[12] |
Jiao H, Zhou Z. An elementary proof of the blow-up for semilinear wave equation in high space dimensions. J Differential Equations, 2003, 189(2): 355-365
|
[13] |
John F. Blow-up of solutions of nonlinear wave equations in three space dimensions. Manuscripta Math, 1979, 28: 235-268
|
[14] |
Kurokawa Y, Takamura H, Wakasa K. The blow-up and lifespan of solutions to systems of semilinear wave equation with critical exponents in high dimensions. Differential Integral Equations, 2012, 25(3/4): 363-382
|
[15] |
Lai N A, Takamura H, Wakasa K. Blow-up for semilinear wave equations with the scale invariant damping and super-Fujita exponent. J Differential Equations, 2017, 263(9): 5377-5394
|
[16] |
Li Y C, Wang C M. On a partially synchronizable system for a coupled system of wave equations in one dimension. Commun Anal Mech, 2023, 15(3): 470-493
|
[17] |
Lindblad H, Sogge C D. Long-time existence for small amplitude semilinear wave equations. Amer J Math, 1996, 118(5): 1047-1135
|
[18] |
Martin H. Mathematical analysis of some iterative methods for the reconstruction of memory kernels. Electron Trans, 2021, 54: 483-498
|
[19] |
Narazaki T. Global solutions to the Cauchy problem for the weakly coupled system of damped wave equations. Dynamical systems, differential equations and applications, 7th AIMS Conference, 2009, special: 592-601
|
[20] |
Nishihara K, Wakasugi Y. Critical exponent for the Cauchy problem to the weakly coupled damped wave system. Nonlinear Anal, 2014, 108(5): 249-259
|
[21] |
Nunes do Nasci eto W, Palmieri A, Reissig M. Semi-linear wave models with power non-linearity and scale-invariant time-dependent mass and dissipation. Math Nachr, 2017, 290(11/12): 1779-1805
|
[22] |
Palmieri A. Global existence of solutions for semi-linear wave equation with scale-invariant damping and mass in exponentially weighted spaces. J Math Anal Appl, 2018, 461(2): 1215-1240
|
[23] |
Palmieri A, Reissig M. A competition between Fujita and Strauss type exponents for blow-up of semi-linear wave equations with scale-invariant damping and mass. J Differential Equations, 2019, 266(2/3): 1176-1220
|
[24] |
Palmieri A, Takamura H. Blow-up for a weakly coupled system of semilinear damped wave equations in the scattering case with power nonlinearities. Nonlinear Anal, 2019, 187(2): 467-492
|
[25] |
Palmieri A, Tu Z. Lifespan of semilinear wave equation with scale invariant dissipation and mass and sub-Strauss power nonlinearity. J Math Anal Appl, 2019, 470: 447-469
|
[26] |
Said-Houari B, Kirane M. Global nonexistence results for a class of hyperbolic systems. Nonlinear Anal, 2011, 74(17): 6130-6143
|
[27] |
Schaeffer J. The equation           for the critical value of p. Proc Roy Soc Edinburgh, 1985, 101(1/2): 31-44
|
[28] |
Sideris T C. Nonexistence of global solutions to semilinear wave equations in high dimensions. J Differential Equations, 1984, 52(3): 378-406
|
[29] |
Strauss W A. Nonlinear scattering theory at low energy. J Functional Analysis, 1981, 41(1): 110-133
|
[30] |
Sun F, Wang M. Existence and nonexistence of global solutions for a nonlinear hyperbolic system with damping. Nonlinear Anal, 2007, 66(12): 2889-2910
|
[31] |
Wakasugi Y. Critical exponent for the semilinear wave equation with scale invariant damping. Fourier Analysis: Pseudo-differential Operators, Time-Frequency Analysis and Partial Differential Equations. Springer International Publishing, 2014: 375-390
|
[32] |
Yordanov B T, Zhang Q S. Finite time blow up for critical wave equations in high dimensions. J Funct Anal, 2006, 231(2): 361-374
|
[33] |
Zhou Y. Cauchy problem for semilinear wave equations in four space dimensions with small initial data. J Partial Differential Equations, 1995, 8(2): 135-144
|
[34] |
Zhou Y. Blow up of solutions to semilinear wave equations with critical exponent in high dimensions. Chin Ann Math, 2007, 28(2): 205-212
|