The Dirichlet Problem for Second-Order Divergence Form Elliptic Operators with Variable Coefficients: The Simple Layer Potential Ansatz

We investigate the Dirichlet problem related to linear elliptic second-order partial differential operators with smooth coefficients in divergence form in bounded connected domains of Rm (m≥3) with Lyapunov boundary. In particular, we show how to represent the solution in terms of a simple layer pot...

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Podrobná bibliografie
Hlavní autoři: Alberto Cialdea, Vita Leonessa, Angelica Malaspina
Médium: Článek
Jazyk:English
Vydáno: Wiley 2015-01-01
Edice:Abstract and Applied Analysis
On-line přístup:http://dx.doi.org/10.1155/2015/276810