Dirichlet Problem for Degenerate Elliptic Equations

DOI10.2307/1996570zbMath0274.35026OpenAlexW4253660604MaRDI QIDQ5182587

Mark A. Pinsky, Avner Friedman

Publication date: 1974

Full work available at URL: https://doi.org/10.2307/1996570

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Boundary value problems for second-order elliptic equations (35J25) Degenerate elliptic equations (35J70) Integral representations, integral operators, integral equations methods in two dimensions (31A10)

Related Items (6)

The Dirichlet problem for sublaplacians on nilpotent Lie groups - geometric criteria for regularity ⋮ The immersed interface method for Helmholtz equations with degenerate diffusion ⋮ Nonattainability of a Set by a Diffusion Process ⋮ The solution of the axisymmetric elastic-plastic torsion of a shaft using variational inequalities ⋮ Degenerate elliptic equations and nonuniqueness of solutions to the Kolmogorov equation ⋮ Probabilistic methods in partial differential equations

Cites Work

• Unnamed Item
• Classes of solutions of linear systems of partial differential equations of parabolic type
• On degenerate elliptic-parabolic operators of second order and their associated diffusions
• Asymptotic stability and spiraling properties for solutions of stochastic equations
• Asymptotic Behavior of Solutions of Linear Stochastic Differential Systems
• Degenerate elliptic‐parabolic equations of second order

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