Global existence, exponential decay and finite time blow-up of solutions for a class of semilinear pseudo-parabolic equations with conical degeneration

[1]  Bin Wu,et al.  Determining the memory kernel from a fixed point measurement data for a parabolic equation with memory effect , 2018 .

[2]  Wenjun Liu,et al.  General decay for a viscoelastic Kirchhoff equation with Balakrishnan-Taylor damping, dynamic boundary conditions and a time-varying delay term , 2017 .

[3]  Bin Wu,et al.  Hölder stability of an inverse problem for a strongly coupled reaction-diffusion system , 2017 .

[4]  Y. Shang,et al.  Global existence and nonexistence of solutions for a viscoelastic wave equation with nonlinear boundary source term , 2016 .

[5]  Jun Yu,et al.  Existence and general decay for the full von Kármán beam with a thermo-viscoelastic damping, frictional dampings and a delay term , 2015, IMA J. Math. Control. Inf..

[6]  Peng Luo Blow‐up phenomena for a pseudo‐parabolic equation , 2015 .

[7]  Hua Chen,et al.  Asymptotic stability and blow-up of solutions for semi-linear edge-degenerate parabolic equations with singular potentials , 2015 .

[8]  A. Peyravi,et al.  ASYMPTOTIC BEHAVIOR AND BLOW-UP OF SOLUTIONS FOR A NONLINEAR VISCOELASTIC WAVE EQUATION WITH BOUNDARY DISSIPATION , 2013 .

[9]  M. Alimohammady,et al.  Existence result for a class of semilinear totally characteristic hypoelliptic equations with conical degeneration , 2013 .

[10]  Runzhang Xu,et al.  Global existence and finite time blow-up for a class of semilinear pseudo-parabolic equations , 2013 .

[11]  Wenjun Liu,et al.  On decay and blow-up of solutions for a singular nonlocal viscoelastic problem with a nonlinear source term , 2013, 1303.4246.

[12]  Hua Chen,et al.  Cone Sobolev inequality and Dirichlet problem for nonlinear elliptic equations on a manifold with conical singularities , 2012 .

[13]  Hua Chen,et al.  Global existence and nonexistence for semilinear parabolic equations with conical degeneration , 2012 .

[14]  Mingxin Wang,et al.  Global and blow-up solutions for a quasilinear hyperbolic equation with strong damping , 2010 .

[15]  Wenjun Liu,et al.  Global existence, asymptotic behavior and blow-up of solutions for coupled Klein–Gordon equations with damping terms , 2010 .

[16]  J. A. Soriano,et al.  Asymptotic Stability of the Wave Equation on Compact Manifolds and Locally Distributed Damping: A Sharp Result , 2010 .

[17]  于涛,et al.  Wave equations and reaction-diffusion equations with several nonlinear source terms , 2007 .

[18]  Irena Lasiecka,et al.  Well-posedness and optimal decay rates for the wave equation with nonlinear boundary damping–source interaction , 2007 .

[19]  Zhao Junsheng,et al.  On potential wells and applications to semilinear hyperbolic equations and parabolic equations , 2006 .

[20]  Vı́ctor Padrón,et al.  Effect of aggregation on population recovery modeled by a forward-backward pseudoparabolic equation , 2003 .

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

[22]  J. Bona,et al.  Model equations for long waves in nonlinear dispersive systems , 1972, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[23]  H. Fan,et al.  MULTIPLE POSITIVE SOLUTIONS FOR DEGENERATE ELLIPTIC EQUATIONS WITH CRITICAL CONE SOBOLEV EXPONENTS ON SINGULAR MANIFOLDS , 2013 .

[24]  Hua Chen,et al.  Existence theorem for a class of semilinear totally characteristic elliptic equations with critical cone Sobolev exponents , 2011 .

[25]  Wenjun Liu Global existence, asymptotic behavior and blow-up of solutions for a viscoelastic equation with strong damping and nonlinear source , 2010 .

[26]  D. H. SAIqOER On Global Solution of Nonlinear Hyperbolic Equations , 2004 .

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