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Remarks on a non-well posed problem

Published online by Cambridge University Press:  14 November 2011

L. A. Medeiros
L. A. Medeiros
Affiliation:
Institute de Matemática-UFRJ, CP 68530-CEP 21944, Rio de Janeiro, RJ-Brasil
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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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References

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