Elliptic Equations Courses and Certifications

Centre International de Rencontres Mathématiques

Dirichlet Problem for Second Order Elliptic Equations in Nondivergence Form

Explore Dirichlet problems for second-order elliptic equations in nondivergence form. Gain insights from Seick Kim's conference talk on harmonic analysis and partial differential equations.

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

ICTP-SAIFR

Elliptic Equations - Class 31

Delve into elliptic equations with advanced analytical and numerical techniques from a leading expert at the National University of Córdoba.

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

Centrum Fizyki Teoretycznej PAN

Hyperbolic versus Elliptic Equations and Electromagnetic Field as 4D-Differential Two-Form - Lecture 9

Explore hyperbolic and elliptic equations, differential geometric notation, and electromagnetic fields as 4D-differential two-forms in this advanced theoretical physics lecture.

• YouTube
• 1 hour 41 minutes
• On-Demand
• Free Video

ICTP-SAIFR

Solving Elliptic Equations with Finite Difference Operators - Class 35 - Part 3

Master finite difference methods for solving elliptic PDEs through advanced numerical techniques and computational approaches with expert guidance from Oscar Reula.

• YouTube
• 1 hour 55 minutes
• On-Demand
• Free Video

ICTP-SAIFR

Solving Elliptic Equations with Finite Difference Operators - Class 35 - Part 2

Master finite difference methods for solving elliptic PDEs through advanced numerical techniques and computational approaches with expert guidance from Oscar Reula.

• YouTube
• 2 hours 36 minutes
• On-Demand
• Free Video

ICTP-SAIFR

Solving Elliptic Equations with Finite Difference Operators - Class 35 - Part 1

Master finite difference methods for solving elliptic PDEs through numerical analysis and computational techniques with expert guidance from Oscar Reula.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

ICTP Mathematics

Second Order Conformally Invariant Elliptic Equations - Lecture 4

Explore advanced mathematical concepts in conformally invariant elliptic equations, focusing on second-order systems and their applications in geometry, physics, and probability theory.

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

Centre de recherches mathématiques - CRM

Unique Continuation for Solutions of Discrete and Continuous Elliptic Partial Differential Equations

Explore unique continuation properties for elliptic equation solutions, including discrete harmonic functions and the Landis conjecture, with applications to Anderson localization.

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

Institut des Hautes Etudes Scientifiques (IHES)

The Stability-Compactness Method and Qualitative Properties of Nonlinear Elliptic Equations

Explore qualitative properties of semi-linear elliptic equations in unbounded domains, focusing on uniqueness, symmetries, and stability using the stability-compactness method.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

IISc Bangalore;  NPTEL

Advanced Course on Partial Differential Equations - II

Explore advanced topics in elliptic and evolution equations, including weak solutions, eigenvalues, regularity, and applications to parabolic, hyperbolic, and Schrödinger equations.

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

ICTP Mathematics

Nonlocal Partial Differential Equations and Applications to Geometry, Physics and Probability

Explore advanced mathematical techniques in nonlocal partial differential equations with applications spanning plasma physics, geometry, and probability theory.

• YouTube
• 1 day 14 hours 4 minutes
• On-Demand
• Free Video

IAS | PCMI Park City Mathematics Institute

Harmonic Analysis - PCMI 28th Annual Summer Session 2018

Dive into advanced harmonic analysis through expert lectures on Almgren's center manifolds, elliptic homogenization, rectifiable measures, and minimal sets from leading mathematicians.

• YouTube
• 22 hours 53 minutes
• On-Demand
• Free Video

IAS | PCMI Park City Mathematics Institute

Lectures on Harmonic Analysis

Dive into advanced harmonic analysis through expert lectures covering Almgren's theory, elliptic homogenization, rectifiable measures, and minimal sets from leading mathematicians.

• YouTube
• 22 hours 53 minutes
• On-Demand
• Free Video

ICTP Mathematics

Partial Differential Equations - Lecture 25

Explore advanced concepts in partial differential equations, focusing on complex mathematical theories and their applications in various scientific fields.

• YouTube
• 1 hour 35 minutes
• On-Demand
• Free Video

ICTP Mathematics

Partial Differential Equations - Lecture 28

Explore advanced concepts in partial differential equations, focusing on complex mathematical theories and their applications in various scientific fields.

• YouTube
• 1 hour 29 minutes
• On-Demand
• Free Video