Algebra properties for Sobolev spaces- Applications to semilinear PDE's on manifolds

Nadine Badr, Frederic Bernicot, Emmanuel Russ

In this work, we aim to prove algebra properties for generalized Sobolev spaces $W^{s,p}\cap L^{\infty }$ on a Riemannian manifold, where $W^{s,p}$ is of Bessel-type $W^{s,p}:=(1+L)^…