Laplace Equation: Uniqueness and Fundamental Solution

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Fundamental Solutions of Laplace Equation

Covers the fundamental solutions of the Laplace equation and introduces distributions.

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Properties of Fundamental Solutions: Green's Representation Formula

Covers the properties of fundamental solutions and introduces Green's representation formula for solving partial differential equations.

Staggered Bosons: Symmetry and Gaplessness

Explores staggered bosons, lattice realizations of gapless field theories with symmetry protection, commutation relations, and criticality.

Dirichlet Problem for Laplace Equation

Explores the Dirichlet problem for the Laplace equation and Green's function.