# Neumann boundary conditions

From Encyclopedia of Mathematics

*Neumann conditions, Neumann data, boundary conditions of the second kind*

Consider a second-order partial differential equation on a domain in with boundary (cf. also Differential equation, partial, of the second order). Boundary conditions of the type

where is the outward pointing normal at , are called Neumann boundary conditions.

A boundary value problem with Neumann conditions is also called a boundary value problem of the second kind (see Second boundary value problem).

See also First boundary value problem; Dirichlet boundary conditions; Third boundary value problem.

**How to Cite This Entry:**

Neumann boundary conditions.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Neumann_boundary_conditions&oldid=18697

This article was adapted from an original article by M. Hazewinkel (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article