Explore BrainMass

Explore BrainMass

    Partial Differential Equations : Harmonic Function and Constant Function

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Suppose U is a positive harmonic function which is defined everywhere in the plane. Show that U must be a constant function.

    This is a question regarding Poisson Integral Formula in PDE. I need to find it using the Harnak's inequalities.

    © BrainMass Inc. brainmass.com October 9, 2019, 7:42 pm ad1c9bdddf

    Solution Summary

    A harmonic function is shown to be a constant function. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.