Course

MATH-421: Evolutional partial differential equations

Summary

Techniques et théories de base pour les équations aux dérivées partielles d'évolution. Etude d'exemples fondamentaux: équations du premier ordre, équation des ondes, équation de la chaleur. Théorème de Cauchy-Kowalevsky, problèmes abstraits d'évolution.

Lectures

Instructor

Boris Buffoni

Research activityResearch ResearchCurrent Research Fields https://sma.epfl.ch/~buffoni/home.html Teaching & PhD Courses Analysis II MATH-106(b) The course studies fundamental concepts of analysis and the calculus of functions of several variables. Evolutional partial differential equations MATH-421 Fundamental techniques and theories for partial differential equations of evolution. Application to basic examples: first-order equations, wave equation, heat equation. The Cauchy

Official source

https://edu.epfl.ch/coursebook/en/evolutional-partial-differential-equations-MATH-421

Moodle Page

http://go.epfl.ch/MATH-421

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Summary

Lectures

Instructor

Boris Buffoni

Official source

https://edu.epfl.ch/coursebook/en/evolutional-partial-differential-equations-MATH-421

Moodle Page

http://go.epfl.ch/MATH-421

About this result

Lectures in this course (27)

Poisson Formula: Descent Method Log in to Mediaspace to watch this video

Explores the Poisson formula using the descent method and Kirchhoff's solution.

Analytical Real Functions Log in to Mediaspace to watch this video

Explores analytical real functions, focusing on series expansion and properties of u(x) in different neighborhoods.

Cauchy Problem for EDPs Log in to Mediaspace to watch this video

Explores the Cauchy problem for EDPs, discussing local solutions and characteristic curves.

Cauchy Problem: Initial Conditions Log in to Mediaspace to watch this video

Discusses the Cauchy problem for ODEs with initial conditions and the importance of homeomorphism and Lipschitz continuity.

Implicit Functions: Local Existence Theorem Log in to Mediaspace to watch this video

Discusses implicit functions and the local existence theorem for finding solutions.

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