Differential Equations: Part 2

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Harmonic Forms and Riemann Surfaces

Explores harmonic forms on Riemann surfaces, covering uniqueness of solutions and the Riemann bilinear identity.

Optimal Transport: Analysis and Proofs

Explores optimal transport analysis and proofs, emphasizing weak convergence and compactness.

Semi-groups of Contractions

Explores semi-groups of contractions, discussing uniqueness theorems, maximum principles, and the infinitesimal generator.

Linear differential equations

Explores linear differential equations of order n, including homogeneous and inhomogeneous equations, solutions, and linear independence.

Advanced Analysis II: Second Order Linear Differential Equations

Covers second order linear differential equations, focusing on solution construction and the concept of linear independence among solutions.

Compact Embedding: Theorem and Sobolev Inequalities

Covers the concept of compact embedding in Banach spaces and Sobolev inequalities.

Advanced Analysis: Differential Equations Overview

Provides an overview of differential equations, their properties, and methods for finding solutions through various examples and graphical representations.

Advanced-analysis-ii

Explores the uniqueness of solutions to differential equations, emphasizing global solutions and the linearity of second-order scalar equations.

Advanced Analysis II: Differential Equations and Timers

Discusses advanced analysis concepts, focusing on differential equations and timers in microcontrollers.

Differential Equations: Speed Variation Analysis

Covers the analysis of speed variation using differential equations and small time intervals.