The weighted Bergman space on a sector and a degenerate parabolic equation
Analysis of PDEs
2020-06-09 v1 Complex Variables
Abstract
In this work we solve a degenerate parabolic equation for the half line with Dirichlet boundary data, and use some results from the theory of Reproducing Kernel Hilbert Spaces to show that the null reachable space of this degenerate parabolic equation is a RKHS of analytic functions on a sector, whose reproducing kernel can be written in terms of the weighted Bergman kernel on the half plane C+.
Keywords
Cite
@article{arxiv.2006.04020,
title = {The weighted Bergman space on a sector and a degenerate parabolic equation},
author = {Marcos López-García},
journal= {arXiv preprint arXiv:2006.04020},
year = {2020}
}
Comments
13 pages