An Example for Green's Theorem with Discontinuous Partial Derivatives
Mathematics Association of America (MAA) MathFest
Green’s Theorem in multivariable calculus is usually stated with a hypothesis that the partial derivatives are continuous. I will present an example of a function where the partial derivatives exist but are discontinuous, to which a stronger version of Green’s Theorem applies.
Analysis | Mathematics
Adam Coffman and Yuan Zhang (2015).
An Example for Green's Theorem with Discontinuous Partial Derivatives. Presented at Mathematics Association of America (MAA) MathFest, Washington, DC.