A Poisson integral formula for a weighted Laplacian in the unit disc
(2010) In Bachelor's Theses in Mathematical Sciences MATX01 20101Mathematics (Faculty of Sciences)
 Abstract
 A Poisson integral formula for a weighted Laplacian in the unit disc
Beskrivning: In this paper a counterpart of the classical Poisson integral formula is found for a weighted Laplace differential operator in the unit disc. In the process the corresponding Dirichlet boundary value problem is solved for arbitrary continuous boundary data. The associated power series expansions are calculated and interpreted as homogeneous expansions. A question of nondilation invariance is also discussed.
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/studentpapers/record/2517974
 author
 Sundberg, Jens ^{LU}
 supervisor

 Anders Olofsson ^{LU}
 organization
 course
 MATX01 20101
 year
 2010
 type
 M2  Bachelor Degree
 subject
 keywords
 Poisson integral formula, weighted Laplace operator
 publication/series
 Bachelor's Theses in Mathematical Sciences
 report number
 LUNFMA40042010
 ISSN
 16546229
 other publication id
 2010:K1
 language
 English
 id
 2517974
 date added to LUP
 20141215 14:41:12
 date last changed
 20181011 16:22:55
@misc{2517974, abstract = {A Poisson integral formula for a weighted Laplacian in the unit disc Beskrivning: In this paper a counterpart of the classical Poisson integral formula is found for a weighted Laplace differential operator in the unit disc. In the process the corresponding Dirichlet boundary value problem is solved for arbitrary continuous boundary data. The associated power series expansions are calculated and interpreted as homogeneous expansions. A question of nondilation invariance is also discussed.}, author = {Sundberg, Jens}, issn = {16546229}, keyword = {Poisson integral formula,weighted Laplace operator}, language = {eng}, note = {Student Paper}, series = {Bachelor's Theses in Mathematical Sciences}, title = {A Poisson integral formula for a weighted Laplacian in the unit disc}, year = {2010}, }