Lectures related to Embedding Theorems in Sobolev Spaces

Explores real functions, covering parity, periodicity, and polynomial functions.

Covers functions, including even and odd functions, periodicity, and function operations.

Covers Sobolev spaces, continuous embeddings, weak convergence, and Poincare inequalities.

Covers the definitions and notations related to functions.

Explores distribution and interpolation spaces, showcasing their importance in mathematical analysis and the computations involved.

Explores differentiating under the integral sign and continuity of functions in integrals.

Delves into functions on R^n, covering limits and partial differentiation.

Explores the properties of relations in computer science, including equivalence relations and the partition of a set.

Covers the concept of continuity, providing examples and definitions of continuous functions.

Covers the concept of partial derivatives and their applications in mathematical analysis.

Introduces Lp spaces, covering norms, inequalities, and integrability of functions.

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Covers the definition and properties of convolution of two functions and explores radioactive material decay rates.

Introduces the fundamentals of functions in microcontroller programming, emphasizing naming rules and step-by-step development.

Covers the graphical definition of functions, focusing on level sets and domains.

Covers weak derivatives, their properties, and applications in functional analysis.

Explores partial derivatives and functions in multivariable calculus, emphasizing their importance and practical applications.

Explores functions of class C^p, emphasizing continuity and differentiability properties.

Explores continuity and limits, emphasizing their relationship and practical applications in function analysis.

Covers entropy, its definition, and its implications in thermodynamics.