The wave equation approach and some asymptotic formulae in R-2

Faculty Science Year: 2001
Type of Publication: Article Pages: 215-220
Authors:
Hassan, AAM
Journal: NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS EDITRICE COMPOSITORI BOLOGNA Volume: 116
Research Area: Physics ISSN ISI:000170029000010
Keywords : , wave equation approach , some asymptotic formulae    
Abstract:
In this paper we use the wave equation approach to treat an inverse eigenvalue problem of a circular domain in R-2, subject to impedance boundary conditions with monotonic positive function. Some geometric knowledge about the domain is extracted through an asymptotic expansion for the spectral function mu (t)= Sigma (infinity)(k=1) exp{[}-i lambda (1/2)(k)t] for small /t/.
    
  Online    
PDF  
       
Tweet