Variational Formulation of PDEs_M1_S2(2024-2025)
Aperçu des sections
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First Class Master Functional Analysis
Semester: 02
Teaching Unit: Methodology Teaching
Subject: Variational Formulation of PDEs ( Formulations variationnelles des EDPs )
Credits: 4
Coefficient: 1
Evaluation Method: Exam (60%), Continuous Assessment (40%)
Responsible Instructor: Abdelaziz Hellal
Email Address: abdelaziz.hellal@univ-msila.dz------------------------------------
Contents:
Chapter 01- Introduction to Vector Analysis
Chapter 02- Sobolev spaces on a bounded open H^m(Ω)
o Sobolev spaces and embedding theorems
o Trace theorems
Chapter 03- Elliptic equations on a bounded open
o Lax–Milgram Theorem
o Maximum principles for elliptic equations
Chapter 04- Examples and some references
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This is devoted to studying the Sobolev spaces which are the basis of the theory of weak or variational forms of partial differential equations, find it here:
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Basically, we are interesting in the following question:
Does an elliptic equation have a solution? Is it unique? More details, kindly find it here:
All the best!
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Here, we study the Lax-Milgram theorem and maximum principles for elliptic equations, So kindly find it on the following link
''The variational formulation of elliptic PDEs''
For maximum principles for elliptic equations, just click on the link below:
https://www.mileshwheeler.com/ma40203/ch-max.html
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Some Essential Reference Books for Your Classroom Library
https://mathemanu.github.io/PDE_variational.pdf
https://mathsci.kaist.ac.kr/~dykwak/Courses/FEM765-17/variation-fem.pdf
Kind regards!
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Examen Final-Formulation variationnelle des EDP-2023
Examen de rattrapage-Formulation variationnelle des EDP-2023
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Please feel free to contact me if you require any further information or details about the course:
https://www.researchgate.net/profile/Hellal-Abdelaziz
https://univ-msila.academia.edu/HellalAbdelaziz
https://scholar.google.fr/citations?user=oFQaNsYAAAAJ&hl=fr
https://orcid.org/0000-0001-8688-8415
https://publons.com/researcher/1795739/abdelaziz-hellal/
Web of Science Researcher ID: B-5968-2019