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An Lp regularity theory for harmonic maps


Reference:

Moser, R., 2013. Forthcoming. An Lp regularity theory for harmonic maps. Transactions of the American Mathematical Society

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    Abstract

    Motivated by the harmonic map heat flow, we consider maps between Riemannian manifolds such that the tension field belongs to an Lp-space. Under an appropriate smallness condition, a certain degree of regularity follows. For suitable solutions of the harmonic map heat flow, we have a partial regularity result as a consequence.

    Details

    Item Type Articles
    CreatorsMoser, R.
    DepartmentsFaculty of Science > Mathematical Sciences
    Publisher Statementharmonic_regularity.pdf: First published in Transactions of the American Mathematical Society in 2013, published by the American Mathematical Society
    RefereedYes
    StatusIn Press
    ID Code29504

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