Interior Regularity Results

Related lectures (31)

Page 3 of 4

Explores L^2 bases and orthogonal polynomials, discussing their properties and applications in polynomial approximation.

Explores Sobolev spaces in higher dimensions, discussing derivatives, properties, and challenges with continuity.

Covers measure spaces, integration, Radon-Nikodym property, and inequalities like Jensen, Hölder, and Minkowski.

Covers the definition and properties of Hilbert spaces, including the Cauchy-Schwarz inequality and norm definition.

Covers the approximation of functions in Sobolev spaces using smooth functions.

Explores bases in vector spaces, including linear combinations, orthogonal bases, and basis transformations using rotation matrices.

Explores distributional derivatives, continuity, boundedness of linear operators, and weak-* continuity.

Covers weak solutions in the finite element method, emphasizing continuity and the Cauchy-Schwarz inequality.

Covers the Fourier inversion formula, exploring its mathematical concepts and applications, emphasizing the importance of understanding the sign.

Discusses approximation by smooth functions and the convergence of function sequences in normed vector spaces.