On the rate of convergence of solutions in free boundary problems via penalization

DOI10.1016/j.jmaa.2017.07.074OpenAlexW2743951657MaRDI QIDQ2405380

Takahiro Kosugi, Shigeaki Koike, Makoto Naito

Publication date: 25 September 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.07.074

zbMATH Keywords

rate of convergencepenalizationobstacle problemweakly coupled systemgradient constraint

Mathematics Subject Classification ID

Numerical analysis (65-XX) Partial differential equations (35-XX)

Cites Work

• Adjoint methods for static Hamilton-Jacobi equations
• Everywhere differentiability of infinity harmonic functions
• Adjoint and compensated compactness methods for Hamilton-Jacobi PDE
• Large-time behavior for obstacle problems for degenerate viscous Hamilton-Jacobi equations
• Some estimates and maximum principles for weakly coupled systems of elliptic PDE
• Viscosity solutions for weakly coupled systems of first-order partial differential equations
• A maximum principle for weakly coupled systems of second order partial differential equations with nonnegative characteristic form
• A variational inequality approach to the Bellman-Dirichlet equation for two elliptic operators
• Adjoint methods for obstacle problems and weakly coupled systems of PDE
• Boundary regulatity and uniqueness for an elliptic equations with gradient constraint
• A second order elliptic equation with gradient constraint
• The C^1,1—character of solutions of second order elliptic equations with gradient constraint
• Regularity of the Value Function for a Two-Dimensional Singular Stochastic Control Problem
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the rate of convergence of solutions in free boundary problems via penalization