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arXiv · 1909.05697

Conservation laws for even order systems of polyharmonic map type

Frédéric Louis de Longueville·Andreas Gastel
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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 $2m$. Typical examples are $m$-polyharmonic maps. Under natural conditions, we find a conservation law for weak solutions on $2m$-dimensional domains. This implies continuity of weak solutions.

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Frédéric Louis de Longueville, Andreas Gastel. 2019-09-12. Conservation laws for even order systems of polyharmonic map type. https://arxiv.org/abs/1909.05697

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