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Khuddush, Mahammad; Prasad, K. Rajendra; Bharathi, B.

Global existence and blowup of solutions for a semilinear Klein-Gordon equation with the product of logarithmic and power-type nonlinearity. (English) Zbl 1491.35045

Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 68, No. 1, 187-201 (2022).
Summary: In this paper we study the initial boundary value problem of a semilinear Klein-Gordon equation with the multiplication of logarithmic and polynomial nonlinearities. By using potential well method and energy method, we obtain the existence of global solutions and finite-time blowup solutions.

Cited in 2 Documents

MSC:

35B40 Asymptotic behavior of solutions to PDEs
35B44 Blow-up in context of PDEs
35L20 Initial-boundary value problems for second-order hyperbolic equations
35L71 Second-order semilinear hyperbolic equations

Keywords:

global existence; Klein-Gordon equation; blowup; logarithmic nonlinearity; potential well
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References:

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