Estimates for Green function and Poisson kernels of higher-order Dirichlet boundary value problems |
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| Authors: | Anna Dall'Acqua |
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| Institution: | Department of Applied Mathematical Analysis, EEMCS, Delft University of Technology, P.O. Box 5031, 2600GA Delft, The Netherlands |
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| 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. |
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| Keywords: | 35J40 35B45 31B30 |
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