I am trying change the page header in scrbook so that it contains upper case letters. To do so, I am using fancyhdr which gives me the required look for all the chapters.

Unfortunately there is a problem with the page header in the bibliography that still contains lower case letters.

How can I change this, so that it looks like this?

I know that if use book instead of scrbook everythink works fine, but since I am using a lot of other things from scrbook this is really an unwanted option. Usually scrpage2 is recommended for the use with KOMA-script, but I don't know a way to have upper case letters in the page headers there.
Here is my code
\begin{filecontents}{mybib.bib}
@article{Smith2000,
author = {Smith, John},
journal = {Journal A},
number = {1},
pages = {1--38},
title = {{Science}},
volume = {1},
year = {2000}
}
\end{filecontents}
\documentclass{scrbook}
\usepackage{biblatex}
\usepackage{blindtext}
\bibliography{mybib}
\usepackage{fancyhdr}
\makeatletter{%
\fancyhead[L]{\leftmark}%
\fancyhead[R]{\thepage}%
}\makeatother
\pagestyle{fancy}
\begin{document}
\chapter{Test}
\blindtext[5]
\cite{Smith2000}
\printbibliography
\blindtext[5]
\end{document}
