We studied the two known works on stability for isoperimetric inequalities of the first eigenvalue of the Laplacian. The earliest work is due to A. Melas who proved the stability of the Faber-Krahn inequality: for a convex domain contained in n with λ close to λ, the first eigenvalue of the ball B o
On the stability of the collocation method for the double layer operator on polyhedral domains in R3
✍ Scribed by O. Hansen
- Publisher
- John Wiley and Sons
- Year
- 2002
- Weight
- 94 KB
- Volume
- 1
- Category
- Article
- ISSN
- 1617-7061
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract We prove the existence of a global strong solution in some class of Marcinkiewicz spaces for the micropolar fluid in an exterior domain of __R__^3^, with initial conditions being a non‐smooth disturbance of a steady solution. We also analyse the large time behaviour of those solutions a
## Abstract Necessary and sufficient conditions for the stability of certain collocation methods applied to Cauchy singular integral equations on an interval are presented for weighted **L**__'__ norms. Moreover, the behavior of the approximation numbers, in particular their so‐called __k__ ‐splitt
## Abstract Usage of a dielectric multilayer around a dielectric sample is studied as a means for improving the efficiency in multimode microwave‐heating cavities. The results show that by using additional dielectric constant layers the appearance of undesired reflections at the sample‐air interfac