 Dirichlet eigenvalue

A Dirichlet eigenvalue is an eigenvalue for an eigenfunction constrained to vanish at the endpoints of its interval or on the boundary of its domain.

In the context of mathematical physics and differential equations, the term "Dirichlet eigenvalue" typically refers to the eigenvalues associated with a Dirichlet boundary value problem for a differential operator, most commonly the Laplace operator. ### Context: Consider a bounded domain \( \Omega \) in \( \mathbb{R}^n \) with a piecewise smooth boundary \( \partial \Omega \).