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A Lemma for a Strong Comparison Principle of Nonlinear Parabolic Equations

Authors :
Kawai, Satoshi
Ohnuma, Masaki
Kawai, Satoshi
Ohnuma, Masaki
Publication Year :
2022

Abstract

In this note, we prove a lemma for a strong comparison principle of nonlinear parabolic equations. We shall prove a function which is a viscosity subsolution minus a viscosity supersolution of the equation becomes a viscosity subsolution of a parabolic equation which may not coincide with the original equation. Thanks to a strong maximum principle of nonlinear parabolic equations we have a strong comparison principle.

Details

Database :
OAIster
Notes :
application/pdf, English
Publication Type :
Electronic Resource
Accession number :
edsoai.on1409776281
Document Type :
Electronic Resource