ultrahyperbolic differential equation

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• Ultrahyperbolic wave equation — In the mathematical field of partial differential equations, the ultrahyperbolic wave equation is a partial differential equation for an unknown scalar function u of 2 n variables x 1, ..., x n , y 1, ..., y n of the form: frac{partial^2… …   Wikipedia

• Partial differential equation — A visualisation of a solution to the heat equation on a two dimensional plane In mathematics, partial differential equations (PDE) are a type of differential equation, i.e., a relation involving an unknown function (or functions) of several… …   Wikipedia

• John's equation — is an ultrahyperbolic partial differential equation satisfied by the X ray transform of a function. It is named after Fritz John.Given a function f:mathbb{R}^n ightarrow mathbb{R} with compact support the X ray transform is the integral over all… …   Wikipedia

• Elliptic operator — In mathematics, an elliptic operator is one of the major types of differential operator. It can be defined on spaces of complex valued functions, or some more general function like objects. What is distinctive is that the coefficients of the… …   Wikipedia

• Laplace operator — This article is about the mathematical operator. For the Laplace probability distribution, see Laplace distribution. For graph theoretical notion, see Laplacian matrix. Del Squared redirects here. For other uses, see Del Squared (disambiguation) …   Wikipedia

• Metric tensor — In the mathematical field of differential geometry, a metric tensor is a type of function defined on a manifold (such as a surface in space) which takes as input a pair of tangent vectors v and w and produces a real number (scalar) g(v,w) in a… …   Wikipedia