Well-Posedness of Elliptic PDEsExplores the well-posedness of elliptic partial differential equations with various boundary conditions, emphasizing the weak formulation and coercivity.
Cyclic Subspace DecompositionExplores minimal annihilating polynomials and cyclic invariant subspaces, showcasing their practical applications through matrix computations.
Distributional DerivativesExplores distributional derivatives, continuity, boundedness of linear operators, and weak-* continuity.
Postulates of Quantum MechanicsExplores the postulates of Quantum Mechanics, emphasizing the state of a system as a complex-valued vector in a Hilbert space.