Polyconvexity

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Related lectures (32)

Page 3 of 4

Interpolation in Finite Element Spaces

Covers interpolation in finite element spaces and the regularity of solutions in convex domains.

Lecture 4: Hilbert Spaces and Unique Solutions

Covers Hilbert spaces and unique solutions in function spaces, emphasizing the Lax-Milgram theorem.

Extension of Linear Transformations

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

Convergence of Fourier Series

Explores the convergence of Fourier series in L² space with trigonometric polynomials and approximation theorems.

Distributions and Laplace Transform: Key Concepts

Discusses distributions, the Laplace transform, and their applications in mathematical analysis.

Calculus of Variations: Ground States in Quantum Mechanics

Covers the Calculus of Variations to find ground states in quantum mechanics by minimizing energy, discussing the Euler Lagrange equation and the Fundamental Theorem of Young Measure Theory.

Mechanics: Introduction and Calculus

Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.

Properties of Weak Derivatives

Explores weak derivatives in Sobolev spaces, discussing their properties and uniqueness.

Analytical Study of Space

Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.

Function Spaces: Review and Compact Operators

Covers the review of function spaces and explores the concept of compact operators.