Discrete Maximal Lp Regularity for Finite Element Operators

Matthias Geißert · SIAM Journal on Numerical Analysis · 2006

Let $\{A_h\}_{h > 0}$ be a family of elliptic finite element operators. Let $I=[0,T]$ and consider the problem $u_h'(t)-A_hu_h(t)=f_h(t)$, $t\in I$, $u_h(0)=0$. In this paper, we show that for $1 0}$ is said to have discrete maximal $L_p$ regularity.

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