Degenerate-elliptic operators in mathematical finance and higher-order regularity for solutions to variational equations
From MaRDI portal
Publication:2264099
zbMath1311.35322arXiv1208.2658MaRDI QIDQ2264099
Camelia A. Pop, Paul M. N. Feehan
Publication date: 20 March 2015
Published in: Advances in Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1208.2658
Variational inequalities (49J40) Smoothness and regularity of solutions to PDEs (35B65) Partial differential inequalities and systems of partial differential inequalities (35R45) Degenerate elliptic equations (35J70) Diffusion processes (60J60) Derivative securities (option pricing, hedging, etc.) (91G20) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91)
Related Items
A classical Perron method for existence of smooth solutions to boundary value and obstacle problems for degenerate-elliptic operators via holomorphic maps ⋮ Weighted \(W^{1, p}\) estimates for weak solutions of degenerate elliptic equations with coefficients degenerate in one variable ⋮ Variational Analysis for Options with Stochastic Volatility and Multiple Factors ⋮ Option prices under liquidity risk as weak solutions of semilinear diffusion equations ⋮ A Schauder approach to degenerate-parabolic partial differential equations with unbounded coefficients ⋮ Boundary-degenerate elliptic operators and Hölder continuity for solutions to variational equations and inequalities ⋮ Boundary estimates for a degenerate parabolic equation with partial Dirichlet boundary conditions ⋮ The Heston stochastic volatility model has a boundary trace at zero volatility ⋮ \( C^{1,\alpha}\) regularity for degenerate parabolic equations arising from the Heston model ⋮ \(C^{1,1}\) regularity for degenerate elliptic obstacle problems ⋮ Schauder a priori estimates and regularity of solutions to boundary-degenerate elliptic linear second-order partial differential equations ⋮ Weighted mixed-norm \(L_p\) estimates for equations in non-divergence form with singular coefficients: The Dirichlet problem ⋮ Regularity for parabolic equations with singular or degenerate coefficients ⋮ Perturbations of local maxima and comparison principles for boundary-degenerate linear differential equations ⋮ A VOLATILITY-OF-VOLATILITY EXPANSION OF THE OPTION PRICES IN THE SABR STOCHASTIC VOLATILITY MODEL ⋮ Weighted mixed-norm \(L_p\)-estimates for elliptic and parabolic equations in non-divergence form with singular coefficients ⋮ Variational Formulation of American Option Prices in the Heston Model ⋮ Unnamed Item