Article
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Application of Initial Boundary Value Problem on Logarithmic Wave Equation in Dynamics
Shkelqim Hajrulla
Version 1
: Received: 19 January 2018 / Approved: 19 January 2018 / Online: 19 January 2018 (10:34:59 CET)
How to cite: Hajrulla, S.; Bezati, L.; Hoxha, F. Application of Initial Boundary Value Problem on Logarithmic Wave Equation in Dynamics. Preprints 2018, 2018010184 (doi: 10.20944/preprints201801.0184.v1). Hajrulla, S.; Bezati, L.; Hoxha, F. Application of Initial Boundary Value Problem on Logarithmic Wave Equation in Dynamics. Preprints 2018, 2018010184 (doi: 10.20944/preprints201801.0184.v1).
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
Subject
MATHEMATICS & COMPUTER SCIENCE, Applied Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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