NSU Research Contributions

Title : Global existence and blow up of solution for semilinear hyperbolic equation with logarithmic nonlinearity

Authors : Wei Lian, Md Salik Ahmed, Runzhang Xu

Abstract : In this paper we consider the semi-linear wave equation with logarithmic nonlin- earity. By modifying and using potential well combined with logarithmic Sobolev inequality, we derive the global existence and infinite time blow up of the solution at low energy level E(0)< d. Then these results are extended in parallel to the critical case E(0) =d. Besides, with additional assumptions on initial data, the infinite time blow up result is given with arbitrary positive initial energy E(0)>0.

Journal : Nonlinear Analysis	Volume : 184	Year : 2019	Issue :
Pages : 239-257	City :	Edition :	Editors :
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