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On the existence and uniqueness of solutions of parabolic equations

Published online by Cambridge University Press:  17 April 2009

K.L. Teo
K.L. Teo
Affiliation:
School of Mathematics, University of New South Wales, Kensington, New South Wales.
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Abstract

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Recently, Eklund (Proc. Amer. Math. Soc. 47 (1975), 137–142) has shown that to each continuous function F on ∂pQ −⊲ {∂Ω × [0, T]} ∪ {Ω × (0)} there is a unique solution to the boundary value problem

where L is a linear second order parabolic operator in divergence form, Ω ⊂ Rn is a bounded domain with compact closure and ∂Ω denotes its boundary. In this note, it is shown that the existence theorem of Eklund remains valid for the following boundary problem

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 13 , Issue 3 , December 1975 , pp. 451 - 456
Copyright
Copyright © Australian Mathematical Society 1975

References

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