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 non-dilation invariance is also discussed.
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/student-papers/record/2517974
- author
- Sundberg, Jens LU
- supervisor
- 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
- 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}}, 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}}, }