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Asymptotics of viscosity solutions to some doubly nonlinear parabolic equations

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Abstract

We study asymptotic decay rates of viscosity solutions to some doubly nonlinear parabolic equations including Trudinger’s equation. We also prove a Phragmén–Lindelöf-type result and show its optimality.

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Authors and Affiliations

  1. Department of Mathematics, Western Kentucky University, Bowling Green, KY, 42101, USA

    Tilak Bhattacharya

  2. Department of Liberal Arts, Savannah College of Arts and Design, Savannah, GA, 31405, USA

    Leonardo Marazzi

Authors
  1. Tilak Bhattacharya
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  2. Leonardo Marazzi
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Correspondence to Leonardo Marazzi.

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Bhattacharya, T., Marazzi, L. Asymptotics of viscosity solutions to some doubly nonlinear parabolic equations. J. Evol. Equ. 16, 759–788 (2016). https://doi.org/10.1007/s00028-015-0319-x

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  • DOI: https://doi.org/10.1007/s00028-015-0319-x

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