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Porosity of the Free Boundary for p-Parabolic Type Equations in Non-Divergence Form

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Abstract

In this article we establish the exact growth of the solution to the singular quasilinear p-parabolic free boundary problem in non-divergence form near the free boundary from which follows its porosity.

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Acknowledgments

GCR thanks the Analysis research group of UFC for fostering a pleasant and productive scientific atmosphere. The author research has been partially funded by FUNCAP-Brazil.

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Authors and Affiliations

  1. Department of Mathematics, Universidade Federal do Ceará - UFC, Fortaleza, CE, 60455-760, Brazil

    Gleydson C. Ricarte

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  1. Gleydson C. Ricarte
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Correspondence to Gleydson C. Ricarte.

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Ricarte, G.C. Porosity of the Free Boundary for p-Parabolic Type Equations in Non-Divergence Form. Potential Anal 52, 115–133 (2020). https://doi.org/10.1007/s11118-018-9733-3

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  • DOI: https://doi.org/10.1007/s11118-018-9733-3

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