Existence and uniqueness of weak solutions of an initial boundary value problem arising in laser dynamics
- Jochmann, Frank
- Recke, Lutz
2010 Mathematics Subject Classification
- 35Q60 35L50 35D05
- Laser dynamics modelling, existence, uniqueness and regularity of weak solutions, discontinuous data
In this paper a mathematical model for the dynamical behavior of multisection DFB (distributed feedback) semiconductor lasers in the case of arbitrarily space depending carrier densities is investigated. We introduce a suitable weak formulation of the initial boundary value problem and prove existence, uniqueness and some regularity properties of the solution. The assumptions on the data are quite general, in particular, the physically relevant case of piecewise smooth, but discontinuous coefficients is included.