# differential operator

(redirected from Partial differential operator)
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## differential operator

n
(Mathematics) any operator involving differentiation, such as the mathematical operator del ∇, used in vector analysis, where ∇ = i∂/∂x + j∂/∂y+ k∂/∂z, i, j, and k being unit vectors and ∂/∂x, ∂/∂y, and ∂/∂z the partial derivatives of a function in x, y, and z
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It is not only beneficial to the fractional order partial differential operator in the practical application of promotion, but also can further improve the fractional partial differential operator to the ability of noise and it has laid a good foundation for the subsequent image processing.
The complex Monge-Ampere operator is a fully nonlinear partial differential operator denoted by
where L is a linear partial differential operator, N is a nonlinear analytic operator, and h Eqs.
1 below) that for K with the extension property every linear partial differential operator P(D) with constant coefficients on [epsilon](K) has a continuous linear right inverse.
n]] a polynomial of degree N, we consider the partial differential operator P(D) : [epsilon]([R.
A linear partial differential operator in 2n +1 independent variables z,[x.
j] = 0 for j > n, and L is the linear partial differential operator of the form
Zhao, "The Drazin inverse for singular evolution equations and partial differential operators," World Scientific Series in Applicable Analysis, vol.
Orders of integration are rearranged in (15) owing to the commutativity in pairs of the partial differential operators.
We also study spaces of partial differential operators with periodic coefficients that are relevant for [T.
We provide a generalization of Calderon's reproducing formula associated with partial differential operators on the half-plane involving finite Borel measures.

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