About this document
Heat Equation and Spinor-Valued Flow by 123chess is a document available to read on EtoBox.
The document discusses the heat equation and its solutions. It introduces the heat operator e−tD2 which flows according to the heat equation. As time t approaches infinity, the heat spreads out and e−tD2 approaches projection onto the kernel of the Dirac operator D. For small t, the solution is exponentially small away from the support of the initial data. The heat operator thus connects global and local properties. It then derives properties of the heat flow on compact manifolds, including existence and un
- Author
- 123chess
- Language
- EN