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A Poisson integral formula for a weighted Laplacian in the unit disc

Sundberg, Jens LU (2010) In Bachelor's Theses in Mathematical Sciences MATX01 20101
Mathematics (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 non-dilation invariance is also discussed.
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author
Sundberg, Jens LU
supervisor
organization
course
MATX01 20101
year
type
M2 - Bachelor Degree
subject
keywords
Poisson integral formula, weighted Laplace operator
publication/series
Bachelor's Theses in Mathematical Sciences
report number
LUNFMA-4004-2010
ISSN
1654-6229
other publication id
2010:K1
language
English
id
2517974
date added to LUP
2014-12-15 14:41:12
date last changed
2018-10-11 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 non-dilation invariance is also discussed.},
  author       = {Sundberg, Jens},
  issn         = {1654-6229},
  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},
}