M. Crandall

collaborators

3 papers

math.AP2010

Convexity criteria and uniqueness of absolutely minimizing functions

Scott N. Armstrong, Michael G. Crandall, Vesa Julin +1

We show that absolutely minimizing functions relative to a convex Hamiltonian $H : R^{n} \to R$ are uniquely determined by their boundary values under minimal assumpt…

math.DG2010

The Problem of Two Sticks

Luis A. Caffarelli, Michael G. Crandall

Let $l = [l_{0}, l_{1}]$ be the directed line segment from $l_{0} \in R^{n}$ to $l_{1} \in R^{n} .$ Suppose $l ˉ = [l ˉ_{0}, l ˉ_{1}]$ is a second segment of equal length such…

math.AP1992

user's guide to viscosity solutions of second order partial differential equations

Michael G. Crandall, Hitoshi Ishii, Pierre-Louis Lions

The notion of viscosity solutions of scalar fully nonlinear partial differential equations of second order provides a framework in which startling comparison and uniqueness theorem…