A wave problem in a half-space with a unilateral constraint at the boundary
Lebeau, Gilles ; Schatzman, Michelle
HAL, hal-01294216 / Harvested from HAL
Text on HAL
In this paper, we study the following problem: let $\Omega$ be a half-space of $\mathbb{R}^N$, defined by $\Omega = \{x = (x’, x_N) \in\mathbb{R}^/x_N > \}$ where $x’ = (x,\ldots, x_{N-1})$ is the usual notation, and let there be given functions $u_0\in H^1(\Omega)$ and $u_1 \in L^2(\Omega)$. We assume that $u_0|_{x_N=0}$ is nonnegative, and similarly $-(\partial u_0/\partial x_N)|_{x_N=0}$ (which is, a priori, an element of $H^{-1/2}(\mathbb{R}^{N-1})$) is nonnegative.
Publié le : 1984-07-04
Classification:  [MATH]Mathematics [math] 
@article{hal-01294216,
     author = {Lebeau, Gilles and Schatzman, Michelle},
     title = {A wave problem in a half-space with a unilateral constraint at the boundary},
     journal = {HAL},
     volume = {1984},
     number = {0},
     year = {1984},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01294216}
}

Lebeau, Gilles; Schatzman, Michelle. A wave problem in a half-space with a unilateral constraint at the boundary. HAL, Tome 1984 (1984) no. 0, . http://gdmltest.u-ga.fr/item/hal-01294216/