%0 Journal Article %A Liu, Yong %A Shu, Chi-Wang %A Zhang, Mengping %T Optimal error estimates of the semidiscrete discontinuous Galerkin methods for two dimensional hyperbolic equations on Cartesian meshes using $P^k$ elements %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2020 %P 705-726 %V 54 %N 2 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/m2an/2019080/ %R 10.1051/m2an/2019080 %G en %F M2AN_2020__54_2_705_0