Sobolev space

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Related lectures (32)

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Completeness of Lp Spaces

Delves into the completeness of Lp spaces and the density of function classes in L².

Exact Fields, Direct Methods, Sobolev Spaces

Covers Hilbert's theorem, direct methods, and Sobolev spaces, including classical and modern methods.

Sobolev spaces, Lax-Milgram

Covers Sobolev spaces, Lax-Milgram theorem, embeddings, and Lipschitz boundaries in PDEs.

Lp Spaces: Introduction

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

Polyconvexity

Explores polyconvexity in vectorial calculus with open bounded sets and Lipschitz boundaries, weak continuity theorems, and function space minimization.

Sobolev Spaces and Continuous Embeddings

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

Extension of Linear Transformations

Covers the extension of bounded linear transformations and the free propagator in L^2 spaces.

Finite Element Method: Weak Solutions

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

Approximation in Sobolev Spaces

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

Interior Regularity Results

Explores interior regularity results, focusing on weak solutions and unique selection in mathematical analysis.