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Difference methods and the generalized Dirichlet problem

Conferenza tenuta il 20 febbraio 1967

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Il problema di Dirichlet per l’equazione di Poisson viene formulato nel senso debole. Viene dimostrato che esiste una e una sola soluzione e che una certa successione di approssimazioni alle differenze finite converge (inL p ) alla soluzione.

Summary

The Dirichlet problem for Poisson’s equation is formulated in a weak sense. It is shown that there exists a unique solution to this problem and that a certain sequence of difference approximations converges (inL p ) to the solution.

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  1. University of Maryland, USA

    James H. Bramble

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  1. James H. Bramble
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Pervenuta in tipografia il 24 giugno 1967.

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Bramble, J.H. Difference methods and the generalized Dirichlet problem. Seminario Mat. e. Fis. di Milano 37, 121–126 (1967). https://doi.org/10.1007/BF02925641

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