Coursebooks 2017-2018

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Parabolic and hyperbolic PDE's

MATH-469

Lecturer(s) :

Nguyên Hoài-Minh

Language:

English

Summary

1. PARABOLIC EQUATIONS: Existence and uniqueness of weak-solutions, Maximum principle. Fundamental solutions. Infinite speed of propagation. 2. HYPERBOLIC EQUATIONS: Existence and uniqueness of weak solutions. Fundamental solutions. Finite speed of propagation.

Content

I. PARABOLIC EQUATIONS

1. Existence and uniqueness of weak-solutions.

2. Maximum principle.

3. Fundamental solutions. Infinite speed of propagation.

4. Separation of variables for a rectangle domains. The asymptotic behaviour of solutions as time goes to infinity.

 

II. HYPERBOLIC EQUATIONS

1. One dimensional investigation.

2. Existence and uniqueness of weak solutions.

3. Fundamental solutions.

4. Finite speed of propagation.

5. Separation of variables for a rectangle domains. The asymptotic behaviour of solutions as time goes to infinity.

 

 

 

Learning Prerequisites

Required courses

MATH-407: Elliptic PDE's.

Assessment methods

Exam written

Dans le cas de l'art. 3 al. 5 du Règlement de section, l'enseignant décide de la forme de l'examen qu'il communique aux étudiants concernés.

In the programs

Reference week

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8-9     
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Under construction
 
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  • Lecture in French
  • Lecture in English
  • Lecture in German