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A Local Parabolic Monotonicity Formula on Riemannian Manifolds

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Abstract

In this article we establish a local parabolic almost monotonicity formula for two-phase free boundary problems on Riemannian manifolds.

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Authors and Affiliations

  1. Departamento de Matemática, Universidade Federal do Ceará, Av. Humberto Monte, s/n, Campus do Pici–Bloco 914, CEP 60.455-760, Fortaleza, CE, Brazil

    Eduardo V. Teixeira

  2. Department of Mathematics, University of Florida, 352 Little Hall, P.O. Box 118105, Gainesville, FL, 32611-8105, USA

    Lei Zhang

Authors
  1. Eduardo V. Teixeira
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  2. Lei Zhang
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Corresponding author

Correspondence to Eduardo V. Teixeira.

Additional information

Communicated by Nicola Garofalo.

E. Teixeira acknowledges support from NSF and CNPq. L. Zhang was supported in part by NSF Grant 0900864 (1027628).

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Teixeira, E.V., Zhang, L. A Local Parabolic Monotonicity Formula on Riemannian Manifolds. J Geom Anal 21, 513–526 (2011). https://doi.org/10.1007/s12220-010-9156-x

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  • DOI: https://doi.org/10.1007/s12220-010-9156-x

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