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Sobolev inequality
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Related lectures (28)
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Polyconvexity
Explores polyconvexity in vectorial calculus with open bounded sets and Lipschitz boundaries, weak continuity theorems, and function space minimization.
Elliptic Partial Differential Equations
Covers the theoretical study of Elliptic Partial Differential Equations, including electrostatics and advection-diffusion-reaction equations.
Sobolev Spaces and Unitary Groups
Explores Sobolev spaces, unitary groups, Laplacian properties, and translation groups in L^2.
Density Results in Sobolev Spaces
Explores density results in Sobolev spaces, emphasizing their applications and proof techniques.
Advanced Mathematical Analysis
Covers advanced topics in mathematical analysis, including cubes, electrical operators, LP spaces, and compact operators.
Fundamental Solutions of Laplace Equation
Covers the fundamental solutions of the Laplace equation and introduces distributions.
Heat Equation: Basics and Stability Estimates
Explores the basics of the heat equation, focusing on diffusion and stability estimates.
Linear Operators and Bounded Domains
Covers linear operators and bounded domains, focusing on the existence of such operators in domains with bounded boundaries.
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