Journal article
SOBOLEV-TYPE LOWER BOUNDS ON ∥▽ψ∥² FOR ARBITRARY REGIONS IN TWO-DIMENSIONAL EUCLIDEAN SPACE
Quarterly of applied mathematics, Vol.34(2), pp.200-202
01 Jul 1976
Abstract
This note reports the derivation of lower bounds of the Sobolev type on ∥▽ψ∥²≡⨜R(∂Ψ/∂x₁)²+(∂Ψ/∂x₂)²dx₁ dx₂ for generic real scalar ψ = ψ(x₁, x₂) of function class C⁰ piecewise C² which vanish over the boundary of the (bounded or unbounded) region R in Euclidean 2-space.
Metrics
6 Record Views
Details
- Title
- SOBOLEV-TYPE LOWER BOUNDS ON ∥▽ψ∥² FOR ARBITRARY REGIONS IN TWO-DIMENSIONAL EUCLIDEAN SPACE
- Creators
- GERALD Rosen
- Publication Details
- Quarterly of applied mathematics, Vol.34(2), pp.200-202
- Publisher
- Brown University
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Physics
- Identifiers
- 991020705353404721