Normalized p-laplacian evolution: boundary behavior of non-negative solutions of fully nonlinear parabolic equations: Gradient bounds for p-harmonic systems with vanishing neumann (dirichlet) data in a convex domain

The first part of this thesis is devoted to the study of normalized p-laplacian evolution. The second part of the thesis is concerned with the boundary behavior of non- negative solutions of fully nonlinear parabolic equations. The third part of the thesis contains a partial result in the direction of unique continuation for fully nonlinear parabolic equations. The fourth part of the thesis deals with gradient bounds for p-harmonic systems in convex domains.