Conservation laws for even order systems of polyharmonic map type
Analysis of PDEs
2019-09-13 v1
Abstract
Following Rivi\`ere's study of conservation laws for second order quasilinear systems with critical nonlinearty and Lamm/Rivi\`ere's generalization to fourth order, we consider similar systems of order . Typical examples are -polyharmonic maps. Under natural conditions, we find a conservation law for weak solutions on -dimensional domains. This implies continuity of weak solutions.
Keywords
Cite
@article{arxiv.1909.05697,
title = {Conservation laws for even order systems of polyharmonic map type},
author = {Frédéric Louis de Longueville and Andreas Gastel},
journal= {arXiv preprint arXiv:1909.05697},
year = {2019}
}