Newtonian potential
In mathematics, the Newtonian potential or Newton potential is an operator in vector calculus that acts as the inverse to the negative Laplacian, on functions that are smooth and decay rapidly enough at infinity. As such, it is a fundamental object of study in potential theory. In its general nature, it is a singular integral operator, defined by convolution with a function having a mathematical singularity at the origin, the Newtonian kernel Γ which is the fundamental solution of the Laplace equation. It is named for Isaac Newton, who first discovered it and proved that it was a harmonic function in the special case of three variables, where it served as the fundamental gravitational potential in Newton's law of universal gravitation. In modern potential theory, the Newtonian potential is
Affine gauge theoryBalayageCapacity of a setCartan's lemmaCartan's lemma (potential theory)Dirac delta functionDouble layer potentialGegenbauer polynomialsGlossary of engineeringGravitational potentialGreen's function for the three-variable Laplace equationHelmholtz decompositionHenrik PetriniLegendre polynomialsList of multivariable calculus topicsNeumann–Poincaré operatorNewton kernelNewton potentialNewtonian kernelPiScalar potentialSimple layer potentialSiméon Denis PoissonSingle layer potentialSpherical harmonicsTatyana ShaposhnikovaZonal spherical harmonics
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Newtonian potential
In mathematics, the Newtonian potential or Newton potential is an operator in vector calculus that acts as the inverse to the negative Laplacian, on functions that are smooth and decay rapidly enough at infinity. As such, it is a fundamental object of study in potential theory. In its general nature, it is a singular integral operator, defined by convolution with a function having a mathematical singularity at the origin, the Newtonian kernel Γ which is the fundamental solution of the Laplace equation. It is named for Isaac Newton, who first discovered it and proved that it was a harmonic function in the special case of three variables, where it served as the fundamental gravitational potential in Newton's law of universal gravitation. In modern potential theory, the Newtonian potential is
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Em matemática, o potencial new ...... e de normalização e é tal que:
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In mathematics, the Newtonian ...... blem for the Laplace equation.
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Ньюто́новым потенциа́лом назыв ...... т уравнению Пуассона: ΔV=−4πρ.
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E.D.
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id
n/n066580
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s/s085260
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s/s091400
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last
Solomentsev
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title
Newton potential
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Simple-layer potential
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Surface potential
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Em matemática, o potencial new ...... e de normalização e é tal que:
@pt
In mathematics, the Newtonian ...... ry, the Newtonian potential is
@en
Ньюто́новым потенциа́лом назыв ...... т уравнению Пуассона: ΔV=−4πρ.
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label
Newtonian potential
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Potencial newtoniano
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Ньютонов потенциал
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