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10 relations: Differential operator, Distribution (mathematics), Elliptic operator, Heat equation, Laplace operator, Mathematical analysis, Open set, Partial differential equation, Smoothness, Wave equation.
Differential operator
In mathematics, a differential operator is an operator defined as a function of the differentiation operator.
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Distribution (mathematics)
Distributions (or generalized functions) are objects that generalize the classical notion of functions in mathematical analysis.
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Elliptic operator
In the theory of partial differential equations, elliptic operators are differential operators that generalize the Laplace operator.
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Heat equation
The heat equation is a parabolic partial differential equation that describes the distribution of heat (or variation in temperature) in a given region over time.
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Laplace operator
In mathematics, the Laplace operator or Laplacian is a differential operator given by the divergence of the gradient of a function on Euclidean space.
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Mathematical analysis
Mathematical analysis is the branch of mathematics dealing with limits and related theories, such as differentiation, integration, measure, infinite series, and analytic functions.
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Open set
In topology, an open set is an abstract concept generalizing the idea of an open interval in the real line.
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Partial differential equation
In mathematics, a partial differential equation (PDE) is a differential equation that contains unknown multivariable functions and their partial derivatives.
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Smoothness
In mathematical analysis, the smoothness of a function is a property measured by the number of derivatives it has that are continuous.
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Wave equation
The wave equation is an important second-order linear partial differential equation for the description of waves—as they occur in classical physics—such as mechanical waves (e.g. water waves, sound waves and seismic waves) or light waves.
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Analytic hypoelliptic, Analytically hypoelliptic, Elliptic regularity, Hypoelliptic, Hypoelliptic partial differential equation, Hypoellipticity.
