Author:
Cascante Carme,Ortega Joaquín M.
Abstract
AbstractIn this paper we characterize the boundedness on the product of Sobolev spaces Hs(𝕋) × Hs(𝕋) on the unit circle 𝕋, of the bilinear form Λb with symbol b ∈ Hs(𝕋) given by
$${{\Lambda}_b} (\varphi, \psi): = \int_{\open T} {\left( {{{( - {\Delta })}^s} + I} \right)(\varphi \psi )(\eta )b(\eta ) {\rm d}\sigma (\eta ).}$$
Publisher
Cambridge University Press (CUP)
Reference23 articles.
1. Sur un méthode pour résoudre les équations aux dérivées partielles du type elliptique, voisine de la variationnell;Nečas;An. Scuona Norm. Sup. Pisa,1962
2. The form boundedness criterion for the relativistic Schrödinger operator
3. The Schrödinger operator on the energy space: boundedness and compactness criteria