Maximum Principles for Boundary-Degenerate Second Order Linear Elliptic Differential Operators

DOI10.1080/03605302.2013.831446zbMath1288.35136arXiv1204.6613OpenAlexW3100391461MaRDI QIDQ5746975

Paul M. N. Feehan

Publication date: 11 February 2014

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.6613

zbMATH Keywords

weighted Sobolev spacesweighted Hölder spacestochastic volatility process

Mathematics Subject Classification ID

Variational inequalities (49J40) Partial differential inequalities and systems of partial differential inequalities (35R45) Maximum principles in context of PDEs (35B50) Degenerate elliptic equations (35J70) Diffusion processes (60J60) Existence theories for optimal control problems involving partial differential equations (49J20) Comparison principles in context of PDEs (35B51) Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators (35J86)

Related Items (12)

A classical Perron method for existence of smooth solutions to boundary value and obstacle problems for degenerate-elliptic operators via holomorphic maps ⋮ Regularity and a Liouville theorem for a class of boundary-degenerate second order equations ⋮ Weak \(q\)-concavity conditions for CR manifolds ⋮ On the martingale problem for degenerate-parabolic partial differential operators with unbounded coefficients and a mimicking theorem for Itô processes ⋮ Boundary-degenerate elliptic operators and Hölder continuity for solutions to variational equations and inequalities ⋮ Singular parabolic equations of second order on manifolds with singularities ⋮ Boundary estimates for a degenerate parabolic equation with partial Dirichlet boundary conditions ⋮ Eguchi-Hanson singularities in \(U(2)\)-invariant Ricci flow ⋮ \(C^{1,1}\) regularity for degenerate elliptic obstacle problems ⋮ Schauder a priori estimates and regularity of solutions to boundary-degenerate elliptic linear second-order partial differential equations ⋮ Perturbations of local maxima and comparison principles for boundary-degenerate linear differential equations ⋮ Dirichlet boundary conditions for degenerate and singular nonlinear parabolic equations

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