Let f(x, y) be a second differentiable function. We define Af = which is called the...

Transcribed Image Text:

Let f(x, y) be a second differentiable function. We define Af = which is called the Laplacian in 2 dimension. When we consider the Laplacian in polar coordinate, answer the following questions. (1) Express af and af 1 af 1 a2 f (2) Show that Af = Or2 r dr p2 302 Let f(x, y) be a second differentiable function. We define Af = which is called the Laplacian in 2 dimension. When we consider the Laplacian in polar coordinate, answer the following questions. (1) Express af and af 1 af 1 a2 f (2) Show that Af = Or2 r dr p2 302