The Dirichlet problem for the fractional Laplacian için kapak resmi
The Dirichlet problem for the fractional Laplacian
Başlık:
The Dirichlet problem for the fractional Laplacian
Yazar:
Alkın, Aykut, author.
Yazar Ek Girişi:
Fiziksel Tanımlama:
vi, 66 leaves:+ 1 computer laser optical disc.
Özet:
This thesis is an introduction to the fractional Sobolev spaces and the fractional Laplace operator. We define the fractional Sobolev spaces and give their properties by comparing them with the classical version of Sobolev spaces. After giving the motivation that comes from the random walk theory, we define the fractional Laplacian. We focus on the mean-value property of s-harmonic functions and get into details of extension and maximum principle of the weak solution of the Dirichlet problem for the fractional Laplacian. Afterall, we explain the regularity of the weak solution of the Dirichlet problem for the fractional Laplacian inside a domain and up to the boundary, respectively.
Yazar Ek Girişi:
Tek Biçim Eser Adı:
Thesis (Master)--İzmir Institute of Technology:Mathematics.

İzmir Institute of Technology:Mathematics--Thesis (Master).
Elektronik Erişim:
Access to Electronic Versiyon.
Ayırtma: Copies: