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Post Made Community Wiki by Scott Morrison♦
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Laplace's equation is the fundamental example of a PDE. If I could broaden the question to allow a triumvirate of examples, I'd say Laplace's equation, the heat equation, and the wave equation as are the canonical examples of PDEs, representing elliptic, parabolic, and hyperbolic equations respectively. |
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Laplace's equation is the fundamental example of a PDE. If I could broaden the question to allow a triumvirate of examples, I'd say Laplace's equation, the heat equation, and the wave equation as the canonical examples of PDEs, representing elliptic, parabolic, and hyperbolic equations respectively. |
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