MathDB

57

Part of 1991 Arnold's Trivium

Problems(1)

Problem 57

Source:

7/1/2010
Find the dimension of the solution space of the problem ∂u/∂z‾=δ(z−i)\partial u/\partial \overline{z} = \delta(z - i) for Im z≥0\text{Im } z \ge 0, Im u(z)=0\text{Im } u(z) = 0 for Im z=0\text{Im } z = 0, u→0u\to 0 as z→∞z\to\infty.