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Article
Application of Initial Boundary Value Problem on Logarithmic Wave Equation in Dynamics
This version is not peer-reviewed.
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
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
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