Accession Number : AD0478689

Title :   ON SINGULAR BOUNDARY VALUE PROBLEMS FOR THE EPD EQUATION.

Descriptive Note : Technical rept.,

Corporate Author : WISCONSIN UNIV-MADISON DEPT OF MATHEMATICS

Personal Author(s) : Taylor, A. D.

Report Date : 15 AUG 1965

Pagination or Media Count : 108

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)

Descriptors :   (*BOUNDARY VALUE PROBLEMS, PARTIAL DIFFERENTIAL EQUATIONS), BEACHES, WATER WAVES, MATHEMATICAL ANALYSIS.

Subject Categories : Physical and Dynamic Oceanography
      Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE