Suppose \(u\) is of class \(C^2\) and \(\Delta u\ge 0\) in a bounded domain \(\Omega \) with \(C^2\) boundary. State and prove a maximum principle.
Question
Math 6410 • ODE
Fall 1994 • Question 8
Question
Fall 1994 • Question 8
Suppose \(u\) is of class \(C^2\) and \(\Delta u\ge 0\) in a bounded domain \(\Omega \) with \(C^2\) boundary. State and prove a maximum principle.