Rate of Convergence for Approximate Solutions in Obstacle Problems for Nonlinear Operators

The rate of convergence of approximate solutions via penalization and regularization for bilateral obstacle problems of parabolic partial differential equations is shown by the nonlinear adjoint method introduced by Evans [6]. In particular, quasilinear operators arising in the level set mean curvature flow and the p-Laplace operator for \(p>2\) with obstacles can be applied.