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On the existence and uniqueness of solutions of parabolic equations
Published online by Cambridge University Press: 17 April 2009
Abstract
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
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