Course

MATH-418: Heat kernel and analysis on manifolds

Summary

This course develops the theory of the heat equation on Riemannian manifolds. We introduce the Laplace-Beltrami operator, the heat semigroup, and the heat kernel, study its fundamental properties, and explore how it "sees" the geometry of the underlying space.

Lectures

Instructor

Mathias Viktor Joachim Braun

Teaching & PhD Courses Analysis IV MATH-207(d) The course studies the fundamental concepts of complex analysis and Laplace analysis with a view to their use to solve multidisciplinary scientific engineering problems. Functional analysis II MATH-404 We introduce locally convex vector spaces. As an example we treat the space of test functions and the space of distributions. In the second part of the course, we discuss differential calculus in Banach spaces and some elements fro

Official source

https://edu.epfl.ch/coursebook/en/heat-kernel-and-analysis-on-manifolds-MATH-418

Moodle Page

http://go.epfl.ch/MATH-418

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Summary

Lectures

Instructor

Mathias Viktor Joachim Braun

Official source

https://edu.epfl.ch/coursebook/en/heat-kernel-and-analysis-on-manifolds-MATH-418

Moodle Page

http://go.epfl.ch/MATH-418

About this result

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