Preprint Article Version 1 This version is not peer-reviewed

Application of Initial Boundary Value Problem on Logarithmic Wave Equation in Dynamics

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.

Subject Areas

initial boundary value problem; Gross-Sobolev inequality; logarithmic wave equation; global existence of solution

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