An elliptic regularity theorem for fractional partial differential operators
Sign Up to like & getrecommendations! Published in 2018 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-018-0618-2
Abstract: We present and prove a version of the elliptic regularity theorem for partial differential equations involving fractional Riemann–Liouville derivatives. In this case, regularity is defined in terms of Sobolev spaces $$H^s(X)$$Hs(X): if the forcing of… read more here.
Keywords: fractional partial; elliptic regularity; partial differential; theorem fractional ... See more keywords
$L_p$ regularity theorem for elliptic equations in less smooth domains
Sign Up to like & getrecommendations! Published in 2019 at "Journal of the Mathematical Society of Japan"
DOI: 10.2969/jmsj/80008000
Abstract: We consider a 2mth-order strongly elliptic operator A subject to Dirichlet boundary conditions in a domain Ω of Rn, and show the Lp regularity theorem, assuming that the domain has less smooth boundary. We derive… read more here.
Keywords: less smooth; regularity theorem; regularity; elliptic operator ... See more keywords