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Explores ion crystals, conductors, and Poisson/Laplace equations in electrostatics, including charge behavior and energy calculations.

Explores uniqueness results for the Poisson equation and harmonic functions with different boundary conditions.

Covers linear PDEs of order 2, focusing on elliptic second-order PDEs and boundary conditions.

Explores Fourier analysis, PDEs, historical context, heat equation, Laplace equation, and periodic boundary conditions.

Covers the concept of Green's functions in Laplace equations and their solution construction process.

Discusses electrostatics, Green's functions, and the application of complex analysis in deriving potentials.

Explores charge distributions, conductor properties, and the concept of a Faraday cage in electrostatics.