Interpolation theory and shell problems

Interpolation theory and shell problems

The shell problem and its asymptotic are investigated. A connection between the asymptotic behavior of the shell energy and real Interpolation Theory is established. Although only the Koiter shells have been considered, the same procedure can be used for other models, such as Naghdi’s one, for example.

Extremal Problems of Interpolation Theory

We consider problems where one seeks m×m matrix valued H∞ functions w(ξ) which satisfy interpolation constraints and a bound (0.1) w∗(ξ)w(ξ) ≤ ρmin, |ξ| < 1, where the m×m positive semi-definite matrix ρmin is minimal (no smaller than) any other matrix ρ producing such a bound. That is, if (0.2) w∗(ξ)w(ξ) ≤ ρ, |ξ| < 1, and if ρmin − ρ is positive semi-definite, then ρmin = ρ. This is an example...

Generalized Craig Interpolation for Stochastic Satisfiability Modulo Theory Problems

Multivariable Interpolation Problems

Sectorial Operators and Interpolation Theory

We present a survey of recent applications of interpolation ideas in the study of sectorial operators.