On the Global Solutions of Abstract Wave Equations with High Energies

[1]  A. Choucha,et al.  Asymptotic behavior for a viscoelastic Kirchhoff equation with distributed delay and Balakrishnan–Taylor damping , 2021, Boundary Value Problems.

[2]  Jun Zhou,et al.  Well-Posedness of Solutions for the Sixth-Order Boussinesq Equation with Linear Strong Damping and Nonlinear Source , 2021, Journal of Nonlinear Science.

[3]  S. Boulaaras.  SOLVABILITY OF THE MOORE–GIBSON–THOMPSON EQUATION WITH VISCOELASTIC MEMORY TERM AND INTEGRAL CONDITION VIA GALERKIN METHOD , 2021 .

[4]  A. Choucha,et al.  General decay rate for a viscoelastic wave equation with distributed delay and Balakrishnan-Taylor damping , 2021, Open Mathematics.

[5]  Chunlai Mu,et al.  On potential wells to a semilinear hyperbolic equation with damping and conical singularity , 2019, Journal of Mathematical Analysis and Applications.

[6]  S. Boulaaras,et al.  General decay of nonlinear viscoelastic Kirchhoff equation with Balakrishnan‐Taylor damping and logarithmic nonlinearity , 2019, Mathematical Methods in the Applied Sciences.

[7]  Xiaoyan Su,et al.  The Cauchy problem for the dissipative Boussinesq equation , 2019, Nonlinear Analysis: Real World Applications.

[8]  Yang Liu,et al.  A Class of Fourth Order Damped Wave Equations with Arbitrary Positive Initial Energy , 2018, Proceedings of the Edinburgh Mathematical Society.

[9]  J. Esquivel-Avila.  Remarks on the qualitative behavior of the undamped Klein‐Gordon equation , 2018 .

[10]  J. Esquivel-Avila.  Nonexistence of global solutions of abstract wave equations with high energies , 2017, Journal of Inequalities and Applications.

[11]  Xiaoyan Su,et al.  The initial-boundary value problem for the generalized double dispersion equation , 2017, Zeitschrift für angewandte Mathematik und Physik.

[12]  Xiaoyan Su,et al.  Global existence and nonexistence of the initial–boundary value problem for the dissipative Boussinesq equation☆ , 2016 .

[13]  Milena Dimova,et al.  Global existence of Cauchy problem for Boussinesq paradigm equation , 2013, Comput. Math. Appl..

[14]  N. Polat,et al.  On Global Solutions for the Cauchy Problem of a Boussinesq-Type Equation , 2012 .

[15]  C. Christov,et al.  Theoretical and Numerical Aspects for Global Existence and Blow Up for the Solutions to Boussinesq Paradigm Equation , 2011 .

[16]  Yanjin Wang.  A sufficient condition for finite time blow up of the nonlinear Klein-Gordon equations with arbitrarily positive initial energy , 2007, math/0702187.

[17]  Marco Squassina,et al.  Global solutions and finite time blow up for damped semilinear wave equations ? ? The first author w , 2006 .

[18]  Enzo Vitillaro,et al.  Blow-up for nonlinear dissipative wave equations in Rn , 2005 .

[19]  H. Levine,et al.  Blow up of solutions of the Cauchy problem for a wave equation with nonlinear damping and source terms and positive initial energy , 2000 .

[20]  M. Willem.  Minimax Theorems , 1997 .

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

[22]  Chunlai Mu,et al.  Global existence and non-existence analyses to a nonlinear Klein-Gordon system with damping terms under positive initial energy , 2020, Communications on Pure & Applied Analysis.

[23]  Jorge A. Esquivel-avil.  Blow-up in damped abstract nonlinear equations , 2020, Electronic Research Archive.

[24]  Ying Wang.  GLOBAL SOLUTIONS FOR A CLASS OF NONLINEAR SIXTH-ORDER WAVE EQUATION , 2018 .

[25]  N. Polat,et al.  On the Existence of Global Solutions for a Nonlinear Klein-Gordon Equation , 2014 .

[26]  Howard A. Levine,et al.  Some nonexistence and instability theorems for solutions of formally parabolic equations of the form Put=−Au+ℱ(u) , 1973 .