Comparison principles for second-order elliptic/parabolic equations with discontinuities in the gradient compatible with Finsler norms

DOI10.1016/j.jfa.2023.109983zbMath1514.35135arXiv2110.09377OpenAlexW3205793654MaRDI QIDQ6040830

Peter S. Morfe, Panagiotis E. Souganidis

Publication date: 22 May 2023

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.09377

zbMATH Keywords

elliptic equationsparabolic equationscomparison results

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order parabolic equations (35K10)

Related Items (1)

Hamilton-Jacobi scaling limits of Pareto peeling in 2D

Cites Work

• Convexity criteria and uniqueness of absolutely minimizing functions
• Motion of level sets by mean curvature. I
• On Pareto optima, the Fermat-Weber problem, and polyhedral gauges
• Singular degenerate parabolic equations with applications to geometric evolutions
• The \(\infty\)-eigenvalue problem
• Anisotropic motion of an interface relaxed by the formation of infinitesimal wrinkles
• Generalized motion of noncompact hypersurfaces with velocity having arbitrary growth on the curvature tensor
• Degenerate parabolic PDEs with discontinuities and generalized evolutions of surfaces
• Limits of anisotropic and degenerate elliptic problems
• Convergence of deterministic growth models
• An easy proof of Jensen's theorem on the uniqueness of infinity harmonic functions
• The \(p\)-Laplace eigenvalue problem as \(p\to\infty\) in a Finsler metric
• On the evolution governed by the infinity Laplacian
• Surface tension and \(\Gamma\)-convergence of Van der Waals-Cahn-Hilliard phase transitions in stationary ergodic media
• On Fully Nonlinear PDEs Derived from Variational Problems ofL^pNorms
• AN ANISOTROPIC INFINITY LAPLACIAN OBTAINED AS THE LIMIT OF THE ANISOTROPIC (p, q)-LAPLACIAN
• Optimal regularity for the pseudo infinity Laplacian
• User’s guide to viscosity solutions of second order partial differential equations
• A tour of the theory of absolutely minimizing functions
• A Simple Proof of Convergence for an Approximation Scheme for Computing Motions by Mean Curvature
• Convex Bodies The Brunn-MinkowskiTheory
• Uniqueness of ∞-Harmonic Functions and the Eikonal Equation
• The pseudo-p-Laplace eigenvalue problem and viscosity solutions asp→ ∞
• Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations

This page was built for publication: Comparison principles for second-order elliptic/parabolic equations with discontinuities in the gradient compatible with Finsler norms