Application of Initial Boundary Value Problem on Logarithmic Wave Equation in Dynamics
- Resource Type
- Authors
- Leonard Bezati; Shkelqim Hajrulla; Fatmir Hoxha
- Source
- Subject
- Physics
applied_mathematics
Logarithm
Mathematical analysis
Dynamics (mechanics)
Boundary value problem
Wave equation
- Language
- English
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.