Sobolev Spaces Courses and Certifications

Hausdorff Center for Mathematics

Sobolev Regularity for Maximal Operators

Explore recent developments in Sobolev regularity for maximal operators in this less than 1-hour material from Hausdorff Center for Mathematics. Suitable for a broad audience.

• YouTube
• 43 minutes
• On-Demand
• Free Online Course

Hausdorff Center for Mathematics

Adaptive Wavelet Methods and Applications

Learn to build bases for Sobolev spaces using wavelets for optimal adaptive solution of operator equations, offered by Hausdorff Center for Mathematics.

• YouTube
• 1 hour 26 minutes
• On-Demand
• Free Online Course

Hausdorff Center for Mathematics

On Density of Sobolev Functions on Euclidean Domains

Explore the density of Sobolev space and removability of sets of measure zero in this under 1-hour material from Hausdorff Center for Mathematics.

• YouTube
• 45 minutes
• On-Demand
• Free Online Course

ICTP Mathematics

On the Growth of Sobolev Norms of a Stochastic CGL Equation with Arbitrary Space Dimension

Dive into the growth of Sobolev norms of a stochastic CGL equation with ICTP Mathematics. Learn from Guan Huang of Tsinghua University in under an hour.

• YouTube
• 58 minutes
• On-Demand
• Free Online Course

Hausdorff Center for Mathematics

The Regularity Problem for the Laplace Equation in Rough Domains

Explore recent advances on Boundary Value Problems for the Laplace operator in a short talk by Mihalis Mourgoglou, offered by the Hausdorff Center for Mathematics.

• YouTube
• 42 minutes
• On-Demand
• Free Online Course

Hausdorff Center for Mathematics

A Formula for Sobolev Seminorms Involving Weak L^p

Dive into Sobolev seminorms with Po-Lam Yung's formula in this 1-2 hour material from Hausdorff Center for Mathematics.

• YouTube
• 1 hour
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

New Characterizations of Sobolev Spaces by Po Lam Yung

Explore modern trends in harmonic analysis with this program by ICTS, focusing on polynomial methods and discrete harmonic analysis. Ideal for mathematicians and researchers.

• YouTube
• 2 hours 7 minutes
• On-Demand
• Free Online Course

École Centrale Paris

An Introduction to Functional Analysis

4 reviews

Learn the fundamentals of functional analysis, including convergence, topology, and different types of spaces. Offered by École Centrale Paris.

• Coursera
• 8 weeks, 6-8 hours a week
• Finished
• Free Online Course (Audit)

IMSC;  NPTEL

Sobolev Spaces And Partial Differential Equations

The modern theory of Partial Differential Equations relies heavily on functional analytic methods. This course will develop, in detail, the theory of distributions and study the important properties of Sobolev spaces. These will be applied to the study o…

• Swayam
• 12 weeks
• Finished
• Free Online Course

IISc Bangalore;  NPTEL

Advanced Partial Differential Equations – (Part I: Distributions and Sobolev Spaces)

ABOUT THE COURSE:This is intended to be a first part on Advanced Partial Differential Equations, which generally requires 40 lecture hours (One semester course). So, we plan to make this course in two parts – 20 hours each. This first part is an in…

• Swayam
• 8 weeks
• Finished
• Free Online Course