Estimates for Green function and Poisson kernels of higher-order Dirichlet boundary value problems

Journal article (2004)

Authors

A Dall'Acqua Analysis - EEMCS
G.H. Sweers Analysis - EEMCS
Research Group
Analysis (EEMCS) (TU Delft)
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Published Date

2004

Language

Undefined/Unknown

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Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Analysis

Abstract

Pointwise estimates are derived for the kernels associated to the polyharmonic Dirichlet problem on bounded smooth domains. As a consequence, one obtains optimal weighted Lp-Lq-regularity estimates for weights involving the distance function.

Author Keywords: Polyharmonic Dirichlet problem; Kernel estimates; Weighted Lp-Lq-regularity

35J40; 35B45; 31B30