Computation of Biharmonic Poisson Kernel for the Upper Half Plane
Abkar, Ali
Bollettino dell'Unione Matematica Italiana, Tome 10-A (2007), p. 769-783 / Harvested from Biblioteca Digitale Italiana di Matematica
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We first consider the biharmonic Poisson kernel for the unit disk, and study the boundary behavior of potentials associated to this kernel function. We shall then use some properties of the biharmonic Poisson kernel for the unit disk to compute the analogous biharmonic Poisson kernel for the upper half plane.

Consideriamo innanzitutto il nucleo biarmonico di Poisson per il disco unitario e studiamo il comportamento al bordo dei potenziali associati a questa funzione nucleo. Useremo poi alcune proprietà del nucleo biarmonico di Poisson per il disco unitario per calcolare l'analogo nucleo biarmonico di Poisson per il semipiano superiore.

Publié le : 2007-10-01
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     author = {Ali Abkar},
     title = {Computation of Biharmonic Poisson Kernel for the Upper Half Plane},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {10-A},
     year = {2007},
     pages = {769-783},
     zbl = {1182.31001},
     mrnumber = {2507895},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2007_8_10B_3_769_0}
}

Abkar, Ali. Computation of Biharmonic Poisson Kernel for the Upper Half Plane. Bollettino dell'Unione Matematica Italiana, Tome 10-A (2007) pp. 769-783. http://gdmltest.u-ga.fr/item/BUMI_2007_8_10B_3_769_0/

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