Fundamental Solution (disambiguation)

Fundamental Solution may refer to:

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  Fundamental solution (partial differential equations)

  A special distributional solution of a linear differential operator used to build solutions via convolution (Green’s-function framework).

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  Fundamental solution (ordinary differential equations)

  For certain linear ODEs, a matrix (or set of functions) whose columns generate solutions of the homogeneous system (fundamental matrix).

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  Fundamental solution of the Laplacian (Newtonian potential)

  The canonical fundamental solution of the Laplace operator, e.g., proportional to 1/r in 3D and log(r) in 2D, underlying harmonic and potential theory.