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

A Dall'Acqua; GH Sweers

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

A Dall'Acqua, GH Sweers

Analysis

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60 Citations (Scopus)

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

Original language	Undefined/Unknown
Pages (from-to)	466-487
Number of pages	22
Journal	Journal of Differential Equations
Volume	205
Issue number	2
Publication status	Published - 2004

Keywords

ZX CWTS 1.00 <= JFIS < 3.00

Cite this

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title = "Estimates for Green function and Poisson kernels of higher-order Dirichlet boundary value problems",

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",

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T1 - Estimates for Green function and Poisson kernels of higher-order Dirichlet boundary value problems

AU - Dall'Acqua, A

AU - Sweers, GH

PY - 2004

Y1 - 2004

N2 - 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

AB - 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

KW - ZX CWTS 1.00 <= JFIS < 3.00

UR - https://www.scopus.com/pages/publications/4344655244

M3 - Article

SN - 0022-0396

VL - 205

SP - 466

EP - 487

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 2

ER -

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

Abstract

Keywords

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Cite this