In mathematics, a differential operator is an operator defined as a function of the differentiation operator. It is helpful, as a matter of notation first...

mathematical analysis a pseudo-differential operator is an extension of the concept of differential operator. Pseudo-differential operators are used extensively...

In mathematics, the Laplace operator or Laplacian is a differential operator given by the divergence of the gradient of a scalar function on Euclidean...

Cartesian coordinates if ∇ is taken as a vector differential operator del. Such notation involving operators is common in physics and algebra. Expanded in...

Del, or nabla, is an operator used in mathematics (particularly in vector calculus) as a vector differential operator, usually represented by the nabla...

the theory of partial differential equations, elliptic operators are differential operators that generalize the Laplace operator. They are defined by the...

In mathematics and theoretical physics, an invariant differential operator is a kind of mathematical map from some objects to an object of similar type...

are built from them are called differential operators, integral operators or integro-differential operators. Operator is also used for denoting the symbol...

(abbreviated, in this article, as linear operator or, simply, operator) is a linear combination of basic differential operators, with differentiable functions as...

In differential geometry there are a number of second-order, linear, elliptic differential operators bearing the name Laplacian. This article provides...