Articles

MONOTONICITY FORMULAS FOR PARABOLIC FREE BOUNDARY PROBLEMS ON CONES

  • Chung-Kwong Chan ,
  • Huichun Zhang ,
  • Xiping Zhu
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  • Department of Mathematics, Sun Yat-sen University, Guangzhou 510275, China

Received date: 2022-04-07

  Revised date: 2022-05-09

  Online published: 2022-12-16

Supported by

The second author was partially supported by National Key R&D Program of China (2021YFA1003001) and NSFC 12025109, and the third author was partially supported by NSFC (11521101).

Abstract

Monotonicity formulas play a central role in the study of free boundary problems. In this note, we develop a Weiss-type monotonicity formula for solutions to parabolic free boundary problems on metric measure cones.

Cite this article

Chung-Kwong Chan , Huichun Zhang , Xiping Zhu . MONOTONICITY FORMULAS FOR PARABOLIC FREE BOUNDARY PROBLEMS ON CONES[J]. Acta mathematica scientia, Series B, 2022 , 42(6) : 2193 -2203 . DOI: 10.1007/s10473-022-0601-2

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