## Abstract We study the stability properties of the one‐dimensional Schrödinger equation with boundary conditions that involve the derivative in the direction of propagation (or time). We show that this type of boundary condition might cause a strong growth of the amplitude of the solution. Such a
Analysis of the initial—boundary-value problem for the Maxwell—Bloch equation
✍ Scribed by A. V. Razgulin; O. Yu. Tikhomirov
- Publisher
- Springer
- Year
- 1992
- Tongue
- English
- Weight
- 304 KB
- Volume
- 3
- Category
- Article
- ISSN
- 1046-283X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
A theorem on the traces of the solutions of initial-boundary value problems for the Boltzmann equation is proved. This result makes it possible to extend a recent theorem of existence proved by I-IAMDACHE to more realistic situations.
We consider initial boundary value problems for the Carleman equations. The theory of nonlinear accretive operators is applied to provide generalized solutions and to consider well-posedness of the system in the L'(O, 1) sense. The solutions are represented by product integrals, an abstract backward
This paper establishes existence and uniqueness of the weak solution to the Ginzburg-Landau equation posed in a finite domain Q = [0, L] for t 2 0, with certain initial-boundary data.