We present a generalisation of Meyers-Serrin theorem, in which we replace the standard weak derivatives in open subsets of ℝm with finite families of linear differential operators defined on smooth sections of vector bundles on a (not necessarily compact) manifold X.
@article{5894, title = {On Some Generalisations of Meyers-Serrin Theorem}, journal = {Bruno Pini Mathematical Analysis Seminar}, year = {2015}, doi = {10.6092/issn.2240-2829/5894}, language = {EN}, url = {http://dml.mathdoc.fr/item/5894} }
Guidetti, Davide; Güneysu, Batu; Pallara, Diego. On Some Generalisations of Meyers-Serrin Theorem. Bruno Pini Mathematical Analysis Seminar, (2015), . doi : 10.6092/issn.2240-2829/5894. http://gdmltest.u-ga.fr/item/5894/