On the solvability of parabolic and hyperbolic problems with a boundary integral condition

Abdelfatah Bouziani

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 31, 1-13

Abstract:

We prove the existence, uniqueness, and the continuous dependence of a generalized solution upon the data of certain parabolic and hyperbolic equations with a boundary integral condition. The proof uses a functional analysis method based on a priori estimates established in nonclassical function spaces, and on the density of the range of the linear operator associated to the abstract formulation of the studied problem.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:627107

DOI: 10.1155/S0161171202005860

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