Lectures related to Regularity in Higher Dimension

Explores boundary conditions, basis functions, and PDE solutions using Fourier and Bessel series.

Provides an overview of advanced mechanisms analysis using Finite Element Method and Finite Element Analysis in engineering applications.

Covers distributions, derivatives, convergence, and continuity criteria in function spaces.

Covers the concept of outer measure and properties of measurable sets.

Covers the Zig Zag Lemma and the long exact sequence of relative homology.

Explores vibratory mechanics in continuous systems, covering separation of variables, boundary conditions, and harmonic solutions.