IJPAM: Volume 35, No. 1 (2007)
ON A B.V.P. IN A QUADRANT WITH
NON-LOCAL BOUNDARY CONDITIONS
NON-LOCAL BOUNDARY CONDITIONS
A. Merzon
, M.A. Taneco-Hernández
Institute of Physics and Mathematics
University of Michoacán of San Nicolás de Hidalgo, ed. C-3
Ciudad Universitaria, 58090, Morelia, Michoacán, MÉXICO
e-mail: anatoli@ifm.umich.mx
e-mail: math23@itzel.ifm.umich.mx
, M.A. Taneco-Hernández
Institute of Physics and Mathematics
University of Michoacán of San Nicolás de Hidalgo, ed. C-3
Ciudad Universitaria, 58090, Morelia, Michoacán, MÉXICO
e-mail: anatoli@ifm.umich.mx
e-mail: math23@itzel.ifm.umich.mx
Abstract.We consider a boundary value problem (b.v.p.) in a quadrant with absorbing boundary value conditions introduced by Engquist and Majda [#!Majda1!#]. We prove the uniqueness of the solution in the Schwartz space of distributions.
Received: November 25, 2006
AMS Subject Classification: 35J05, 35J25, 35J67
Key Words and Phrases: Helmholtz equation, method of characteristics complex, absorbing boundary value conditions
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 35
Issue: 1
