Domain decomposition methods for nonlinear elliptic and parabolic equations
Nonoverlapping domain decomposition methods have been utilized for a long time to solve linear and nonlinear elliptic problems, and more recently, parabolic problems. Despite this, there is no convergence theory for nonlinear elliptic and parabolic equations on general Lipschitz domains in Rd, d ≥ 2. We therefore develop a Steklov–Poincaré theory for nonlinear elliptic and parabolic problems and s