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Remarks on a non-well posed problem
Published online by Cambridge University Press: 14 November 2011
Synopsis
In this paper, it is proved that the problem (∂2u/∂t2) + ∆xu = v, u(x, 0) = u0(x), ut(x, 0) = u1(x), with homogeneous Dirichlet conditions on the boundary, is well posed provided v, u0, u1 belong to a suitable space of functions.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 102 , Issue 1-2 , 1986 , pp. 131 - 140
- Copyright
- Copyright © Royal Society of Edinburgh 1986
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