Abstract

We consider inequalities of the form ∝ ∂Ω u 2 ds ⩽ C ∝ Ω (u 2 + u, iu i) d x ( ∗) for sufficiently regular functions u(x) defined on a bounded domain Ω in R n . The inequality ( ∗) follows from the Trace Theorem in interpolation spaces and so is called a trace inequality. Information on the optimal constants C (which depend on the domain geometry) is obtained through consideration of associated eigenvalue problems.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call