Maximum principle

In the mathematical fields of partial differential equations and geometric analysis, the maximum principle refers to a collection of results and techniques of fundamental importance in the study of elliptic and parabolic differential equations. In the simplest case, consider a function of two variables u(x,y) such that In the field of convex optimization, there is an analogous statement which asserts that the maximum of a convex function on a compact convex set is attained on the boundary.

Maximum principle

In the mathematical fields of partial differential equations and geometric analysis, the maximum principle refers to a collection of results and techniques of fundamental importance in the study of elliptic and parabolic differential equations. In the simplest case, consider a function of two variables u(x,y) such that In the field of convex optimization, there is an analogous statement which asserts that the maximum of a convex function on a compact convex set is attained on the boundary.