INHOMOGENEOUS STRICHARTZ ESTIMATES

Abstract

We look for the optimal range of Lebesque exponents for which inhomogeneous Strichartz estimates are valid. It is known that this range is larger than the one given by admissible exponents for homogeneous estimates. We prove inhomogeneous estimates in this larger range adopting the abstract setting and interpolation techniques already used by Keel and Tao for the endpoint case of the homogeneous estimates. Applications to Schrödinger equations are given, which extend previous work by Kato.

Locations

• Journal of Hyperbolic Differential Equations - View
• arXiv (Cornell University) - View - PDF