[1] |
Chen Y X, Xu R Z. Global well-posedness of solutions for fourth order dispersive wave equation with nonlinear weak damping, linear strong damping and logarithmic nonlinearity. Nonlinear Anal, 2020, 192: 1-39
|
[2] |
Gazzola F, Squassina M. Global solutions and finite time blow up for damped semilinear wave equations. Ann Inst H Poincare Anal Non Lineaire, 2006, 23: 185-207
|
[3] |
He L F. On decay and blow-up of solutions for a system of viscoelastic equations with weak damping and source terms. J Inequal Appl, 2019, 2019: 1-27
|
[4] |
Hao J H, Wei H Y. Blow-up and global existence for solution of quasilinear viscoelastic wave equation with strong damping and source term. Bound Value Probl, 2017, 65: 1-12
|
[5] |
Han X S, Wang M X. Global existence and blow up of solutions for a system of nonlinear viscoelastic wave equations with damping and source. Nonlinear Anal, 2009, 71: 5427-5450
|
[6] |
Jleli M, Samet B. Blow up for semilinear wave equations with time-dependent damping in an exterior domain. Commun Pure Appl Anal, 2020, 19(7): 3885-3900
|
[7] |
Liu W J. General decay and blow-up of solution for a quasilinear viscoelastic problem with nonlinear source. Nonlinear Anal: Theory Methods Appl, 2010, 73(6): 1890-1904
|
[8] |
Li Q. A blow-up result for a system of coupled viscoelastic equations with arbitrary positive initial energy. Bound Value Probl, 2021, 2021: Article 61
|
[9] |
Li Q, He L F. General decay and blow-up of solutions for a nonlinear viscoelastic wave equation with strong damping. Bound Value Probl, 2018, 153: 1-22
|
[10] |
Lian W, Xu R Z. Global well-posedness of nonlinear wave equation with weak and strong damping terms and logarithmic source term. Adv Nonlinear Anal, 2020, 5(3): 555-573
|
[11] |
Messaoudi S A. Blow up and global existence in a nonlinear viscoelastic wave equation. Math Nachr, 2003, 260: 58-66
|
[12] |
Messaoudi S A. Blow up of positive initial energy solution of a nonlinear viscoelastic hyperbolic equation. J Math Anal Appl, 2006, 320: 902-915
|
[13] |
Ma J, Mu C L, Rong Z. A blow up result for viscoelastic equations with arbitrary positive initial energy. Bound Value Probl, 2011, 6: 1-10
|
[14] |
Payne L, Sattinger D. Saddle points and instability on nonlinear hyperbolic equation. Israel J Math, 1975, 22: 273-303
|
[15] |
Song H T. Global nonexistence of positive initial energy solution for a viscoelastic wave. Nonlinear Anal, 2015, 125: 260-269
|
[16] |
Song H T. Blow up of arbitrarily positive initial energy solution for a viscoelastic wave euqation. Nonlinear Anal: Real World Appl, 2015, 26: 306-314
|
[17] |
Song H T, Xue D S. Blow up in a nonlinear viscoelastic wave equation with strong damping. Nonlinear Anal, 2014, 109: 245-251
|
|
18Song H T, Zhong C K. Blow up of solution of a nonlinear viscoelastic wave equation. Nonlinear Anal: Real World Appl, 2010, 11: 3877-3883
|
[19] |
苏晓, 王书彬. 任意正初始能量状态下半线性波动方程解的有限时间爆破. 数学物理学报, 2017, 37A(6): 1085-1093
|
|
Wang S B. Finite time blow up for the damped semilinear wave equations with arbitrary positive initial energy. Acta Math Sci, 2017, 37A(6): 1085-1093
|
[20] |
Wang Y J. A global nonexistence theorem for viscoelastic equations with arbitrary positive initial energy. Appl Math Lett, 2009, 22: 1394-1400
|
[21] |
Xu R Z, Lian W, Niu Y. Global well-posedness of coupled parabolic systems. Sci China Math, 2020, 63: 321-356
|
[22] |
Xu R Z, Yang Y B, Liu Y C. Global well-posedness for strongly damped viscoelastic wave equation. Appl Anal, 2013, 92: 138-157
|
[23] |
Xu R Z, Yang Y B. Finite time blow up for the nonlinear fourth-order dispersive-dissipative wave equation at high energy level. Int J Math, 2012, 5: 1-10
|