Henri Poincaré: Solving Dirichlet’s problem

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Dirichlet’s problem reduces to the search for Green’s functions. Let’s find a function V which inside a surface S satisfies Laplace’s equation and on this surface takes given values. Suppose that we have found a function U which is finite, … Read More

Henri Poincaré, Mathematical physics: 1 – Dirichlet’s problem

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When we consider the various problems of integral calculus which naturally arise when we want to go deeper into the most different parts of physics, it is impossible not to be struck by the analogies that all these problems present … Read More