Differential operator information

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...

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

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

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

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

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

representation theory, differential geometry, quantum statistical mechanics, quantum information, and quantum field theory. Operator algebras can be used...

mathematics, operator theory is the study of linear operators on function spaces, beginning with differential operators and integral operators. The operators may...

in the context of differential equations defined by a vector valued function Rn to Rm, the Fréchet derivative A is a linear operator on R considered as...

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

In mathematics, a partial differential equation (PDE) is an equation which computes a function between various partial derivatives of a multivariable function...

logic Operator (mathematics), mapping that acts on elements of a space to produce elements of another space, e.g.: Linear operator Differential operator Integral...

{\displaystyle He_{\lambda }(x)} may be understood as eigenfunctions of the differential operator L [ u ] {\displaystyle L[u]} . This eigenvalue problem is called...

line is in one sense the spectral theory of differentiation as a differential operator. But for that to cover the phenomena one has already to deal with...

mathematics, differential algebra is, broadly speaking, the area of mathematics consisting in the study of differential equations and differential operators as...

quantum mechanics, operator theory and harmonic analysis on semisimple Lie groups. Spectral theory for second order ordinary differential equations on a compact...

form of a linear homogeneous differential equation is L ( y ) = 0 {\displaystyle L(y)=0} where L is a differential operator, a sum of derivatives (defining...

A vector operator is a differential operator used in vector calculus. Vector operators include the gradient, divergence, and curl: Gradient is a vector...

pseudo-differential equations use pseudo-differential operators instead of differential operators. A differential algebraic equation (DAE) is a differential...

operator is the operator associated with the linear momentum. The momentum operator is, in the position representation, an example of a differential operator...

an upside-down triangle and pronounced "del", denotes the vector differential operator. When a coordinate system is used in which the basis vectors are...

Del squared may refer to: Laplace operator, a differential operator often denoted by the symbol ∇2 Hessian matrix, sometimes denoted by ∇2 Aitken's delta-squared...

{n}{k}}={\tbinom {n}{n-k}}} . The naturalness of the star operator means it can play a role in differential geometry, when applied to the cotangent bundle of...