Electron. J. Diff. Eqns., Vol. 2003(2003), No. 09, pp. 1-6.

Generalized solutions to parabolic-hyperbolic equations

Lazhar Bougoffa & Mohamed Said Moulay

Abstract:
We study boundary-value problems for composite type equations: parabolic-hyperbolic equations. We prove the existence and uniqueness of generalized solutions, using energy inequality and the density of the range of the operator generated by the problem.

Submitted December 2, 2002. Published February 4, 2003.
Math Subject Classifications: 35M20
Key Words: Composite type, parabolic-hyperbolic equations, generalized solutions, energy inequality.

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Lazhar Bougoffa
King Khalid University
Department of Mathematics
P.O. Box 9004, Abha, Saudi Arabia
email: abogafah@kku.edu.sa
Mohamed Said Moulay
King Khalid University
Department of Mathematics
P.O. Box 9004, Abha, Saudi Arabia
email: msmolai@kku.edu.sa

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