The Aubin--Nitsche Trick for Semilinear Problems
Numerical Analysis
2017-07-05 v1
Abstract
The Aubin--Nitsche trick is a common tool to show -error estimates for discretizations of -elliptic linear partial differential equations arising for example as Euler--Lagrange equations of a quadratic energy functional. The technique itself is linear: for quasilinear problems it is not applicable. We generalize the Aubin--Nitsche trick to a class of minimization problems closely related to semi-linear partial differential equations.
Cite
@article{arxiv.1707.00963,
title = {The Aubin--Nitsche Trick for Semilinear Problems},
author = {Hanne Hardering},
journal= {arXiv preprint arXiv:1707.00963},
year = {2017}
}