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arXiv · 1809.08679

A Phragm\'en-Lindel\"of property of viscosity solutions to a class of doubly nonlinear parabolic equations: Bounded Case

Tilak Bhattacharya·Leonardo Marazzi
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Abstract

We study Phragm\'en-Lindel\"of properties for viscosity solutions to a class of nonlinear parabolic equations of the type $H(Du, D^2u+Z(u)Du\otimes Du)+\chi(t)|Du|^\sigma-u_t=0$ under a certain boundedness condition on $H$. We also state results for positive solutions to a class of doubly nonlinear equation $H(Du, D^2u)-f(u)u_t=0$.

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Tilak Bhattacharya, Leonardo Marazzi. 2018-09-23. A Phragm\'en-Lindel\"of property of viscosity solutions to a class of doubly nonlinear parabolic equations: Bounded Case. https://arxiv.org/abs/1809.08679

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