Work

Solution representation formula and Hopf lemma to Pucci’s equation

Year: 2025

Type: article

Abstract: We establish the existence of a viscosity subsolution along with its representation formula to the equation involving Pucci’s extremal operator Mλ,Λ+ with zero-𝑡ℎ order term. We use a method based on a dynamic programming principle presented by Denis et al. (Potential Analysis, 34(2), (2010), 139–161). As an application of our solution representation formula, we prove the Hopf lemma for Mλ,Λ− with zero-𝑡ℎ order term. Our approach is based on stochastic calculus and probabilistic methods.

Source: Figshare

DOI: 10.6084/m9.figshare.28612987

Authors: Oza, Priyank, Tyagi, Jagmohan

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W6902306188

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