We prove a Plemelj type formula for general potentials in $C^{1}$ domains. By means of that we obtain completeness theorems in $L^{p}$ norm for the Dirichlet problem for the polyharmonic equation $\Delta^{m}u=0$.
Completeness Theorems for the Dirichlet Problem for the Polyharmonic Equation
CIALDEA, Alberto;MALASPINA, Angelica
2005-01-01
Abstract
We prove a Plemelj type formula for general potentials in $C^{1}$ domains. By means of that we obtain completeness theorems in $L^{p}$ norm for the Dirichlet problem for the polyharmonic equation $\Delta^{m}u=0$.File in questo prodotto:
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