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A blowing up wave equation with exponential type nonlinearity and arbitrary positive energy
Journal article   Open access  Peer reviewed

A blowing up wave equation with exponential type nonlinearity and arbitrary positive energy

Tarek Saanouni
Journal of mathematical analysis and applications, Vol.421(1), pp.444-452
01/01/2015
DOI: https://doi.org/10.1016/j.jmaa.2014.07.033

Abstract

Blow-up Energy Nonlinear wave equation
We consider in two space dimensions, the nonexistence of global solutions to the class of Klein–Gordon equations∂ttu−Δu+u=fa(u),(t,x)∈[0,T⁎)×Ω. We give sufficient conditions on the data such that the solution of the above Klein–Gordon equation blows up in finite time.
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https://doi.org/10.1016/j.jmaa.2014.07.033View
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