Work

A Lemma for a Strong Comparison Principle of Nonlinear Parabolic Equations

Year: 2022

Type: article

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.

Source: Institutional Repositories DataBase (IRDB)

Authors: Kawai, Satoshi, Ohnuma, Masaki

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7145602404

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