Vector Fields with Continuous Curl but Discontinuous Partial Derivatives

DOI10.1080/00029890.2020.1815476zbMath1454.26013OpenAlexW3112768427MaRDI QIDQ5140826

Adam Coffman, Yuan Zhang

Publication date: 17 December 2020

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00029890.2020.1815476

Mathematics Subject Classification ID

Continuity and differentiation questions (26B05) Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.) (26B20) Systems of linear first-order PDEs (35F35)

Cites Work

• Complex analysis. Translated from the Catalan by Ignacio Monreal
• Continuous solutions of nonlinear Cauchy-Riemann equations and pseudoholomorphic curves in normal coordinates
• When is a Function that Satisfies the Cauchy-Riemann Equations Analytic?
• A general form of Green’s Formula and the Cauchy Integral Theorem
• On Green's Theorem
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