# Second boundary value problem

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One of the boundary value problems (cf. Boundary value problem, partial differential equations) for partial differential equations. For example, let there be given a second-order elliptic equation (*) where , , in a bounded domain , with a normal at each point of the boundary . The second boundary value problem for equation (*) in is the following problem: Out of the set of all solutions of equation (*), isolate those solutions which have, at all boundary points, derivatives with respect to the interior normal and which satisfy the condition where is a given function. The second boundary value problem is also known as the Neumann problem.

How to Cite This Entry:
Second boundary value problem. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Second_boundary_value_problem&oldid=12888
This article was adapted from an original article by A.K. Gushchin (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article