Amorphous surface growth via a level set approach (Q858645)

The authors construct an equation for amorphous surface growth due to some deposition process within the level set approach and derive a unique viscosity solution to this equation. They develop a theory of convergence of viscosity sub- and super-solutions. Then approximating the equation by parabolic equations with uniformly elliptic part, they prove that the solutions of the approximating equations converge to the viscous solution of the original equation.