differential operator
Noun
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Noun
differential operator (plural differential operators)
- (mathematics, analysis) Differentiation, regarded as a mapping of a function to its derivative.
- 2000, S. Albeverio, P. Kurasov, Singular Perturbations of Differential Operators, page 328 ↗,
- […] these conditions appeared in the very first papers on ordinary differential operators.
- 2012, Youri Egorov, Bert-Wolfgang Schulze, Pseudo-Differential Operators, Singularities, Applications, page 27 ↗,
- A differential operator P \left ( D \right ) is hypoelliptic if for any domain ⊂ \mathbb{R}^n any solution u of the equation P\left( D \right)u = 0 from the class \mathfrak{D}' \left ( \Omega \right ) is a function from C^\infty(ω) for any open set ω ⊂⊂ \Omega.
- A complete algebraic description of all hypoelliptic differential operators has been obtained by Hörmander in [H1].
- 2000, S. Albeverio, P. Kurasov, Singular Perturbations of Differential Operators, page 328 ↗,
- partial differential operator
- pseudodifferential operator
This text is extracted from the Wiktionary and it is available under the CC BY-SA 3.0 license | Terms and conditions | Privacy policy 0.003