The Laplace Equation is a second-order partial differential equation given by $$ abla^2 u = 0$$, where $$u$$ is a scalar function and $$ abla^2$$ is the Laplacian operator. It describes the behavior of harmonic functions and is fundamental in various fields such as physics and engineering, particularly in potential theory. The solutions to the Laplace Equation provide critical insights into various physical phenomena, including gravitational and electrostatic fields, heat conduction, and fluid flow.
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