JournalsrsmupVol. 142falsepp. 211–259

A Phragmén–Lindelöf property of viscosity solutions to a class of doubly nonlinear parabolic equations. Bounded case

  • Tilak Bhattacharya

    Western Kentucky University, Bowling Green, USA
  • Leonardo Marazzi

    Savannah College of Art and Design, USA
A Phragmén–Lindelöf property of viscosity solutions to a class of doubly nonlinear parabolic equations. Bounded case cover

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Abstract

We study Phragmén–Lindelöf properties for viscosity solutions to a class of nonlinear parabolic equations of the type

H(Du,D2u+Z(u)DuDu)+χ(t)Duσut=0H(Du, D^2u+Z(u)Du\otimes Du)+\chi(t)|Du|^\sigma-u_t=0

under a certain boundedness condition on HH. We also prove similar results for positive solutions to a class of doubly nonlinear equation H(Du,D2u)f(u)ut=0H(Du, D^2u)-f(u)u_t=0.

Cite this article

Tilak Bhattacharya, Leonardo Marazzi, A Phragmén–Lindelöf property of viscosity solutions to a class of doubly nonlinear parabolic equations. Bounded case. Rend. Sem. Mat. Univ. Padova 142 (2019), pp. 211–259

DOI 10.4171/RSMUP/37