On the Cauchy problem for elliptic equations in a disk |
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| Authors: | R Cavazzoni |
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| Institution: | (1) Dipartimento di Matematica e Applicazioni per l’Architettura, Università di Firenze, P.zza Ghiberti 27, 50122 Firenze, Italy |
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| Abstract: | Letφ, ψ be smooth functions on the boundary of the unit diskB
1. A second order uniformly elliptic operatorL and a functionu with second order derivatives inL
p (1<p<2) are constructed with the following properties:u solvesLu=0 inB
1 and satisfies the Cauchy dataφ, ψ on∂B
1. |
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| Keywords: | |
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