Boundary behavior and monotonicity estimates for solutions to nonlinear diffusion equations
Paul DuChateau · Rocky Mountain Journal of Mathematics · 1985
The purpose of this article is to develop a number of estimates bearing on the boundary behavior of solutions to certain nonlinear diffusion equations.These estimates are then applied to show that the boundary behavior of solutions is related in a monotone way to the diffusion coefficient in the equation.This monotonicity may be applied in various ways to the analysis of inverse problems for nonlinear parabolic equations.