On inhomogeneous Strichartz estimates for the Schr\"odinger equation
Sanghyuk Lee, Ihyeok Seo
TL;DR
This paper investigates inhomogeneous Strichartz estimates for the Schrödinger equation within mixed norm spaces, introducing new estimates and analyzing the conditions necessary for their validity.
Contribution
It provides novel inhomogeneous Strichartz estimates in mixed norm spaces and discusses the necessary conditions for these estimates.
Findings
New inhomogeneous Strichartz estimates derived.
Discussion on necessary conditions for estimates.
Enhanced understanding of Schrödinger equation solutions.
Abstract
In this paper we consider inhomogeneous Strichartz estimates in the mixed norm spaces which are given by taking temporal integration before spatial integration. We obtain some new estimates, and discuss about the necessary conditions.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Mathematical Analysis and Transform Methods · Advanced Harmonic Analysis Research