The Laplace Equation is a second-order partial differential equation given by the formula $$ abla^2 (x,y,z) = 0$$, where $$ abla^2$$ is the Laplacian operator. This equation describes situations where a quantity such as temperature or electric potential remains constant in a given region, meaning there are no local sources or sinks present. It is crucial in various physical phenomena, helping model steady-state processes across heat conduction, fluid dynamics, and electrostatics.
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