| 1 |
Sideris T C . Nonexistence of global solutions to semilinear wave equations in high dimensions. Journal of Differential Equations, 1984, 52 (3): 378- 406
doi: 10.1016/0022-0396(84)90169-4
|
| 2 |
Georgiev V , Takamura H , Yi Z . The lifespan of solutions to nonlinear systems of a high-dimensional wave equation. Nonlinear Analysis, 2006, 64 (10): 2215- 2250
doi: 10.1016/j.na.2005.08.012
|
| 3 |
Kato T . Blow up of solutions of some nonlinear hyperbolic equations. Communications on Pure & Applied Mathematics, 2010, 33 (4): 501- 505
|
| 4 |
Strauss W A . Nonlinear scattering theory at low energy. Journal of Functional Analysis, 1981, 43 (3): 281- 293
doi: 10.1016/0022-1236(81)90019-7
|
| 5 |
Zhou Y . Life span of classical solutions to utt + uxx=|u|1+α. Chinese Annals of Mathematics, 1992, (2): 230- 243
|
| 6 |
Lindblad H . Blow-up for solutions of □u=|u|p with small initial data. Communications in Partial Differential Equations, 1990, 15 (6): 757- 821
doi: 10.1080/03605309908820708
|
| 7 |
Zhou Y , Han W . Blow-up of solutions to semilinear wave equations with variable coefficients and boundary. Journal of Mathematical Analysis and Applications, 2011, 374 (2): 585- 601
doi: 10.1016/j.jmaa.2010.08.052
|
| 8 |
Takamura H . Improved Kato's lemma on ordinary differential inequality and its application to semilinear wave equations. Nonlinear Analysis:Theory, Methods & Applications, 2015, 125: 227- 240
doi: 10.1016/j.na.2015.05.024
|
| 9 |
李卓然.一类半线性波动方程解的爆破性质[D].杭州:浙江大学, 2017
|
|
Li Z R. Blow up Properties of Solutions for a Class of Semilinear Wave Equations[D]. Hangzhou: Zhejiang University, 2017
|
| 10 |
Zhou Y . Life span of classical solutions to □u=|u|p in two space dimensions. Chinese Annals of Mathematics, 1993, 14 (2): 225- 236
|
| 11 |
Lai N A , Zhou Y , Lai N A , et al. An elementary proof of Strauss conjecture. Journal of Functional Analysis, 2014, 267 (5): 1364- 1381
doi: 10.1016/j.jfa.2014.05.020
|
| 12 |
Lindblad H , Sogge C D . Long-time existence for small amplitude semilinear wave equations. American Journal of Mathematics, 1996, 118 (5): 1047- 1135
doi: 10.1353/ajm.1996.0042
|
| 13 |
Takamura H , Wakasa K . The sharp upper bound of the lifespan of solutions to critical semilinear wave equations in high dimensions. Journal of Differential Equations, 2011, 251 (4/5): 1157- 1171
|
),Haihang Wang2,*(