A characterization of global and nonglobal solutions of nonlinear wave and Kirchhoff equations

[1]  Songmu Zheng,et al.  Nonlinear evolution equations , 2004 .

[2]  J. Esquivel-Avila.  The dynamics of a nonlinear wave equation , 2003 .

[3]  Asymptotic behaviour of solutions of evolution equations , 2001 .

[4]  J. Esquivel-Avila.  Bounded solutions and blow-up in nonlinear wave equations , 2000 .

[5]  Kosuke Ono,et al.  On Global Solutions and Blow-up Solutions of Nonlinear Kirchhoff Strings with Nonlinear Dissipation☆ , 1997 .

[6]  K. Ono.  REMARK ON BLOWING UP PHENOMENA FOR NONLINEAR KIRCHHOFF STRINGS , 1997 .

[7]  Kosuke Ono,et al.  GLOBAL EXISTENCE, DECAY, AND BLOWUP OF SOLUTIONS FOR SOME MILDLY DEGENERATE NONLINEAR KIRCHHOFF STRINGS , 1997 .

[8]  Masahito Ohta.  Blowup of solutions of dissipative nonlinear wave equations , 1997 .

[9]  Ryo Ikehata,et al.  On Global Solutions and Energy Decay for the Wave Equations of Kirchhoff Type with Nonlinear Damping Terms , 1996 .

[10]  Ryo Ikehata,et al.  Some remarks on the wave equations with nonlinear damping and source terms , 1996 .

[11]  Ryo Ikehata,et al.  Stable and unstable sets for evolution equations of parabolic and hyperbolic type , 1996 .

[12]  Vladimir Georgiev,et al.  Existence of a Solution of the Wave Equation with Nonlinear Damping and Source Terms , 1994 .

[13]  T. Cazenave.  Uniform estimates for solutions of nonlinear Klein-Gordon equations , 1985 .

[14]  J. Ball.  On the asymptotic behavior of generalized processes, with applications to nonlinear evolution equations , 1978 .

[15]  John M. Ball,et al.  REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS , 1977 .

[16]  D. Sattinger,et al.  Saddle points and instability of nonlinear hyperbolic equations , 1975 .

[17]  J. Lions.  Quelques méthodes de résolution de problèmes aux limites non linéaires , 2017 .

[18]  W. D. Evans,et al.  PARTIAL DIFFERENTIAL EQUATIONS , 1941 .