A class of nonlinear differential equations of second order in time
Schatzman, Michelle
HAL, hal-01294058 / Harvested from HAL
Text on HAL
In this paper, $\phi$ will denote a lower semicontinuous convex proper function from $\mathbb{R}^N = H$ to $\mathbb{R}\cup\{+\infty\}$. The effective domain of $\phi$ is the set dom $\phi=\{x\in\mathbb{R}^N | \phi(x)<+ \infty\}$. We shall suppose that the interior of dom $\phi$ in $\mathbb{R}^N$ is not empty, and $\phi\geq 0$. These two assumptions do not restrict the generality. The scalar product in $H$ is denoted by $(x,y)$.
Publié le : 1978-07-04
Classification:  monotone operators,  Existence and uniqueness,  nonlinear equations of second order,  [MATH]Mathematics [math] 
@article{hal-01294058,
     author = {Schatzman, Michelle},
     title = {A class of nonlinear differential equations of second order in time},
     journal = {HAL},
     volume = {1978},
     number = {0},
     year = {1978},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01294058}
}

Schatzman, Michelle. A class of nonlinear differential equations of second order in time. HAL, Tome 1978 (1978) no. 0, . http://gdmltest.u-ga.fr/item/hal-01294058/