Dirichlet boundary conditions
From Encyclopedia of Mathematics
Dirichlet conditions, Dirichlet data, boundary conditions of the first 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 form
 |
are called Dirichlet boundary conditions.
A boundary value problem with Dirichlet conditions is also called a boundary value problem of the first kind (see First boundary value problem).
See also Second boundary value problem; Neumann boundary conditions; Third boundary value problem.
How to Cite This Entry:
Dirichlet boundary conditions. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Dirichlet_boundary_conditions&oldid=33678
Dirichlet boundary conditions. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Dirichlet_boundary_conditions&oldid=33678
This article was adapted from an original article by M. Hazewinkel (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article