Remarks on Wolff's inequality for hypersurfaces

Abstract

We run an iteration argument due to Pramanik and Seeger, to provide a proof of sharp decoupling inequalities for conical surfaces and for $k$-cones. These are extensions of results Łaba and Pramanik to sharp exponents.

8 pages

Cited by in corpus (2)

• Variable coefficient Wolff-type inequalities and sharp local smoothing estimates for wave equations on manifolds
• On smoothing estimates in modulation spaces and the nonlinear Schrödinger equation with slowly decaying initial data