𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Initial boundary value problems for the Carleman equation

✍ Scribed by W.E. Fitzgibbon

Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
429 KB
Volume
9
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis

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 difference scheme.

πŸ“œ SIMILAR VOLUMES

An initial-boundary value problem for th
An initial-boundary value problem for the Ginzburg-Landau equation
✍ Charles Bu πŸ“‚ Article πŸ“… 1992 πŸ› Elsevier Science 🌐 English βš– 314 KB

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.

The initial boundary value problem for t
The initial boundary value problem for the SchrΓΆudinger equation
✍ Leif Abrahamsson; Heinz-Otto Kreiss πŸ“‚ Article πŸ“… 1990 πŸ› John Wiley and Sons 🌐 English βš– 243 KB

## Abstract We study the stability properties of the one‐dimensional SchrΓΆdinger 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