Sobolev Spaces Courses and Certifications

Hausdorff Center for Mathematics

A Formula for Sobolev Seminorms Involving Weak L^p

Explore a mathematical formula for Sobolev seminorms involving weak L^p spaces, presented by Po-Lam Yung from the Hausdorff Center for Mathematics.

• YouTube
• 1 hour
• On-Demand
• Free Video

Hausdorff Center for Mathematics

On Density of Sobolev Functions on Euclidean Domains

Explore recent findings on Sobolev space density, removability of measure zero sets, and extension operators in Euclidean domains. Gain insights into advanced mathematical concepts and their applications.

• YouTube
• 45 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Sobolev Regularity for Maximal Operators

Explore recent developments in regularity theory for maximal operators, focusing on Sobolev and BV data. Accessible overview of an active research area with open questions.

• YouTube
• 43 minutes
• On-Demand
• Free Video

ICTP Mathematics

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

Explore the growth of Sobolev norms in stochastic CGL equations across arbitrary space dimensions, presented by Guan Huang from Tsinghua University.

• YouTube
• 58 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Homeomorphic Sobolev Extensions of Parametrizations of Jordan Curves

Explore homeomorphic Sobolev extensions of Jordan curve parametrizations, examining conditions for finite energy deformations and recent findings in this mathematical field.

• YouTube
• 32 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Plans, Derivations, and Currents in Metric Measure Spaces

Explore novel proofs and techniques in metric p-Sobolev spaces, connecting plans, derivations, and currents in metric measure spaces. Gain insights into advanced mathematical concepts.

• YouTube
• 42 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Sobolev Spaces in Extended Metric-Topological Measure Spaces

Explore Sobolev spaces in extended metric-topological measure spaces, focusing on Cheeger energy construction and properties in this general framework.

• YouTube
• 59 minutes
• On-Demand
• Free Video

NPTEL-NOC IITM

Sobolev Spaces: Density of Test Functions in Euclidean Space - Part 2

Explore density of test functions in Sobolev spaces on Euclidean space, advancing understanding of mathematical analysis.

• YouTube
• 15 minutes
• On-Demand
• Free Video

NPTEL-NOC IITM

Sobolev Spaces: The Case N = 1 - Part 3

Explore advanced concepts in Sobolev spaces, focusing on the case N = 1, with Prof. S Kesavan from the Institute of Mathematical Sciences.

• YouTube
• 20 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Sobolev Spaces on Metric Spaces - Lecture by Jun Kigami

Explore Sobolev spaces on metric spaces, covering basic concepts, new examples, and discrete energy. Gain insights into advanced mathematical analysis techniques.

• YouTube
• 32 minutes
• On-Demand
• Free Video

NPTEL-NOC IITM

Sobolev Spaces: Definition, Notations, and Completeness - Part 1

Explore Sobolev spaces: definition, notations, and completeness. Gain foundational knowledge in this essential mathematical concept for advanced analysis.

• YouTube
• 33 minutes
• On-Demand
• Free Video

IMSC;  NPTEL

Sobolev Spaces and Partial Differential Equations

Explore distributions, Sobolev spaces, and their applications in PDEs. Develop skills in functional analysis for solving elliptic boundary value problems and evolution equations.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

New Characterizations of Sobolev Spaces by Po Lam Yung

Explores novel approaches to characterizing Sobolev spaces, advancing understanding in functional analysis and partial differential equations. Presents cutting-edge research in harmonic analysis.

• YouTube
• 2 hours 7 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

The Regularity Problem for the Laplace Equation in Rough Domains

Explores recent advances in Boundary Value Problems for the Laplace operator in rough domains, focusing on the equivalence between Dirichlet and regularity problem solvability.

• YouTube
• 42 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Adaptive Wavelet Methods and Applications

Explore adaptive wavelet methods for solving complex PDEs, including tensor product approximation and reformulation techniques for optimal solutions in various domains.

• YouTube
• 1 hour 26 minutes
• On-Demand
• Free Video