Conservation laws for fourth order systems in four dimensions

Simple item page
dc.creatorLamm, Tobias
dc.creatorRiviere, Tristan
dc.date2006-07-20
dc.date.accessioned2026-07-07T07:20:43Z
dc.date.available2026-07-07T07:20:43Z
dc.descriptionFollowing an approach of the second author for conformally invariant variational problems in two dimensions, we show in four dimensions the existence of a conservation law for fourth order systems, which includes both intrinsic and extrinsic biharmonic maps. With the help of this conservation law we prove the continuity of weak solutions of this system. Moreover we use the conservation law to derive the existence of a unique global weak solution of the extrinsic biharmonic map flow in the energy space.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/math/0607484
dc.identifierhttp://arxiv.org/abs/math/0607484
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115047
dc.subjectAnalysis of PDEs
dc.subjectDifferential Geometry
dc.subject35 J 60; 58 E 20
dc.titleConservation laws for fourth order systems in four dimensions
dc.typetext

Files

Collections

arXiv