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What mathematical equation did Yau contribute to?

  • Einstein's Field Equations

  • Monge–Ampère equation

  • Schrödinger equation

  • Navier–Stokes equations

Answer

The Monge–Ampère equation is a partial differential equation that relates the curvature of a surface to the first derivatives of its position function. Yau made significant contributions to the study of this equation, including proving a fundamental theorem that relates the existence of solutions to the equation to the existence of certain special functions.
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