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Related lectures (31)
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Measure Spaces: Integration and Inequalities
Covers measure spaces, integration, Radon-Nikodym property, and inequalities like Jensen, Hölder, and Minkowski.
Linear Statics of Deformable Solids
Introduces linear statics for linear elastic solids in small deformations, stress equilibrium, the Virtual Work Principle, and the Finite Element Method.
Examples: Function Spaces
Covers various examples of function spaces and linear applications between them.
Embedding in Function Spaces
Explores embedding in function spaces, including elliptic equations, Hölder inequality, Lorentz space, and Hardy-Young inequality.
Norm Equivalence and Inverse Inequality
Explores norm equivalence, inverse inequality, and error analysis in finite element methods.
Continuity and Galerkin Method
Introduces continuity in function spaces and the Galerkin method for solving boundary value problems.
Martingale Convergence Theorem
Explains the martingale convergence theorem and its applications in probability theory.
Measure Spaces: O-Finite and Probability Measures
Explores o-finite and finite measure spaces, probability measures, and inequalities, concluding with LP space completeness.
Distribution to Spaces: Interpolation and Continuity
Covers weak derivatives, interpolation spaces, and continuity in function spaces.
Scalar Products: Definition, Examples
Covers the definition of a scalar product on a real vector space and provides examples.
