ON SINGULAR BOUNDARY VALUE PROBLEMS FOR THE EPD EQUATION.
Abstract
The Euler-Poisson-Darboux equation arises in the theory of waves on shallow beaches with a boundary condition. It is shown how this may be combined with classical results to obtain existence and uniqueness for composite singular boundary value problems of physical interest, and indeed, problems on an unbounded domain. It is a significant peculiarity of these singular problems that bounds on the solution depend, not only on bounds for the data, but also on smoothness parameters for the data. This result, and the solution structure, are elucidated by a study of the curious play of wave-front discontinuities of the solutions. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 15, 1965
- Accession Number
- AD0478689
Entities
People
- A. D. Taylor
Organizations
- University of Wisconsin Madison Department of Mathematics