New posts in Maximum Principle

Variant of parabolic maximum principle: $\partial_t u\ge \Delta_x u + b\cdot\nabla_x u-u \;\Rightarrow\; u\ge e^{-t}\inf_y u(0,y)$

Proof of maximal principle on Laplace Equation involving Poisson integral formula

Maximum value of a complex polynomial on the unit disk

If a function $f$ is holomorphic on the closed unit disk centered at the origin and is real valued whenever $|z| = 1$, then $f$ is constant.

Intuition Behind Maximum Principle (Complex Analysis)