Recall from Section 14.3 that a function g is called harmonic on D if it satisfies Laplace’s equation, that is
Use Green’s Theorem in the form of Equation 13 to prove Green’s first identity:
Where D and C satisfy the hypotheses of Green’s Theorem and the appropriate partial derivatives of f and g exist and are continuous. (The quantity
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- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage