Submitted:
19 January 2018
Posted:
19 January 2018
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Abstract
We introduce a class of logarithmic wave equation. We study the global existence of week solution for this class of equation. We deal with the initial boundary value problem of this class. Using the Galerkin method and the Gross logarithmic Sobolev inequality we establish the main theorem of existence of week solution for this class of equation arising from Q-Ball Dynamic in particular.
Keywords:
initial boundary value problem
; Gross-Sobolev inequality
; logarithmic wave equation
; global existence of solution
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