The Laplace equation is a second-order partial differential equation named after Pierre-Simon Laplace who first studied its solutions. It is the simplest example of elliptic partial differential equations. The general theory of solutions to Laplace's equation is known as potential theory.

The Laplace equation in two independent variables is given by:

∇²f = 0

Where ∇² is the Laplacian operator, defined in Cartesian coordinates (x, y, z) by:

∇² = ∂²/∂x² + ∂

Question

The Laplace equation is a second-order partial differential equation named after Pierre-Simon Laplace who first studied its solutions. It is the simplest example of elliptic partial differential equations. The general theory of solutions to Laplace's equation is known as potential theory.

The Laplace equation in two independent variables is given by:

∇²f = 0

Where ∇² is the Laplacian operator, defined in Cartesian coordinates (x, y, z) by:

∇² = ∂²/∂x² + ∂

Knowee AI · Accepted Answer

The Laplace equation is a second-order partial differential equation named after Pierre-Simon Laplace who first studied its solutions. It is the simplest example of elliptic partial differential equations. The general theory of solutions to Laplace's equation is known as potential theory.

The Laplace equation in two independent variables is given by:

∇²f = 0

Where ∇² is the Laplacian operator, defined in Cartesian coordinates (x, y, z) by:

∇² = ∂²/∂x² + ∂

Write – Laplace equation

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