%0 Journal Article
%T $L^\infty(L^\infty)$-boundedness of DG($p$)-solutions for nonlinear conservation laws with boundary conditions
%A Lutz Angermann
%A Christian Henke
%J Mathematics
%D 2010
%I arXiv
%X We prove the $L^\infty(L^\infty)$-boundedness of a higher-order shock-capturing streamline-diffusion DG-method based on polynomials of degree $p\geq 0$ for general scalar conservation laws. The estimate is given for the case of several space dimensions and for conservation laws with initial and boundary conditions.
%U http://arxiv.org/abs/1011.2750v1