Special Session 47: 

Characterization on eigenvalues and eigenfunctions for 1-dimensional linearized scalar field equations

Tohru T Wakasa
Kyushu Institute of Technology
Japan
Co-Author(s):    
Abstract:
In this talk we will investigate the linearized eigenvalue problems associatied with periodic solution of 1-dimensional scaler field equation with Neumann boundary condition. More precisely, when the exponent p is either 2 or 3, we will show the expressions of every eigenvalue and eigenfunctions by using elliptic functions and the special solution of the characteristic equation which can be written as a special form of elliptic integral of the third kind.