A second-order partial differential equation
arising in physics,
If ,
it reduces to Laplace's equation.
It is also related to the Helmholtz
differential equation
See also
Helmholtz Differential Equation,
Laplace's Equation,
Vector
Poisson Equation
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References
Arfken, G. "Gauss's Law, Poisson's Equation." §1.14 in Mathematical
Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 74-78,
1985.Morse, P. M. and Feshbach, H. Methods
of Theoretical Physics, Part I. New York: McGraw-Hill, p. 271, 1953.Zwillinger,
D. (Ed.). CRC
Standard Mathematical Tables and Formulae. Boca Raton, FL: CRC Press, p. 417,
1995.Zwillinger, D. Handbook
of Differential Equations, 3rd ed. Boston, MA: Academic Press, p. 129,
1997.Referenced on Wolfram|Alpha
Poisson's Equation
Cite this as:
Weisstein, Eric W. "Poisson's Equation."
From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PoissonsEquation.html
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