Initial-boundary value problems for the wave equation

In this thesis we give an overview of the wave equation in two and three dimensional space variables.We study initial value problems, known as Cauchy problems, for the wave equation in two and three dimensional space variables.Huygen's principle and d' Alembert's fonnula are discussed.Several examples are studied in detail.Also, we consider initial-boundary value problems for the wave equation.We state and prove the existence and uniqueness results for both the Cauchy and initial-boundary value problems associated with the wave equation.

Hali tarjima qilinmagan