On the solvability of parabolic and hyperbolic problems with a boundary integral condition
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 sp...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202005860 |
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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |