A Phragmén–Lindelöf property of viscosity solutions to a class of doubly nonlinear parabolic equations. Bounded case
Bhattacharya, Tilak1 ; Marazzi, Leonardo2
1 Western Kentucky University, Bowling Green, USA
2 Savannah College of Art and Design, USA
Rendiconti del Seminario Matematico della Università di Padova, Tome 142 (2019), pp. 211-259.
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We study Phragmén–Lindelöf properties for viscosity solutions to a class of nonlinear parabolic equations of the type

H(Du,D 2 u+Z(u)Du⊗Du)+χ(t)|Du| σ -u t =0
under a certain boundedness condition on H. We also prove similar results for positive solutions to a class of doubly nonlinear equation H(Du,D 2 u)-f(u)u t =0.

Publié le :
DOI : 10.4171/RSMUP/37
Classification : 35, 00
Mots-clés : Phragmén–Lindelöf, viscosity, parabolic, doubly nonlinear
Bhattacharya, Tilak 1 ; Marazzi, Leonardo 2

1 Western Kentucky University, Bowling Green, USA
2 Savannah College of Art and Design, USA 
@article{RSMUP_2019__142__211_0,
     author = {Bhattacharya, Tilak and Marazzi, Leonardo},
     title = {A {Phragm\'en{\textendash}Lindel\"of} property of viscosity solutions to a class of doubly nonlinear parabolic equations. {Bounded} case},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {211--259},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {142},
     year = {2019},
     doi = {10.4171/RSMUP/37},
     mrnumber = {4032811},
     zbl = {1442.35194},
     url = {http://www.numdam.org/articles/10.4171/RSMUP/37/}
}
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Bhattacharya, Tilak; Marazzi, Leonardo. A Phragmén–Lindelöf property of viscosity solutions to a class of doubly nonlinear parabolic equations. Bounded case. Rendiconti del Seminario Matematico della Università di Padova, Tome 142 (2019), pp. 211-259. doi : 10.4171/RSMUP/37. http://www.numdam.org/articles/10.4171/RSMUP/37/

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