Beltrami Differential Equation

For a measurable function , the Beltrami differential equation is given by

where  is a partial derivative and  denotes the complex conjugate of .

REFERENCES:

Iyanaga, S. and Kawada, Y. (Eds.). Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, p. 1087, 1980.

Zwillinger, D. Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, p. 137, 1997.