JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2018, Vol. 53 ›› Issue (8): 77-83.doi: 10.6040/j.issn.1671-9352.0.2017.341

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Comparison principles for viscosity solution of fully nonlinear parabolic equations with superlinear gradient nonlinearities

WANG Jun-fang, ZHAO Pei-hao   

  1. School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, Gansu, China
  • Received:2017-06-30 Online:2018-08-20 Published:2018-07-11

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Abstract: A problem of fully nonlinear degenerate parabolic partial differential equations with a superlinear gradient nonlinearity is studied. A comparison result is proved between semicontinuous viscosity subsolutions and supersolutions having superlinear growth. We extend our result to monotone systems of parabolic equations.

Key words: degenerate parabolic equations, viscosity solution, comparison principle, monotone system, superlinear growth

CLC Number: 

  • O177
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