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J. Korean Math. Soc. 2002; 39(5): 681-692

Printed September 1, 2002

Copyright © The Korean Mathematical Society.

On the conjugate Darboux-Protter problems for the two dimensional wave equations in the special case

Jong Bae Choi and Jong Yeoul Park

Kyung Hee University and Pusan National University

Abstract

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In the article [2], the conjugate Darboux-Protter problem $D_{n}$ is formulated for the two dimensional wave equation in the class of unbounded functions and the uniqueness of solutions has been established. In this paper, we shall show the existence of solutions for the hyperbolic equations with Bessel operators in another special case.

Keywords: the conjugate Darboux-Protter problem, the hyperbolic equation with Bessel operator

MSC numbers: 35L05, 35L20

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