Generalized multiplying boundary conditions in a rod and B-bounded semigroups
Mancini, Simona
HAL, hal-00076879 / Harvested from HAL
Text on HAL
A transport problem for the particle density function $n(x,v,t)$ in the bounded region $[-b,+b]$ is considered. The particle velocities are assumed to be unbounded. The boundary conditions are expressed by means of a general {\em multiplying} boundary operator $\Lambda$, relating the incoming and outgoing flux of particles. The generation of a B-bounded semigroup (see [1], [2], [3]) is proved, and the solution of the transport problem is explicitly given by means of the B-bounded semigroup.
Publié le : 2001-07-05
Classification:  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 
@article{hal-00076879,
     author = {Mancini, Simona},
     title = {Generalized multiplying boundary conditions in a rod and B-bounded semigroups},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00076879}
}

Mancini, Simona. Generalized multiplying boundary conditions in a rod and B-bounded semigroups. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-00076879/