A new proof of Strichartz estimates for the Schr\"odinger equation in $2+1$ dimensions
Camil Muscalu, Itamar Oliveira
TL;DR
This paper offers a novel proof of Strichartz estimates for the Schrödinger equation in 2+1 dimensions, simplifying previous approaches and potentially broadening their applicability.
Contribution
It introduces a new proof technique for Strichartz estimates in 2+1 dimensions, advancing the theoretical understanding of dispersive PDEs.
Findings
New proof method for Strichartz estimates
Simplifies existing proofs in 2+1 dimensions
Potential for broader application in dispersive PDE analysis
Abstract
This note presents a new proof of the well-known Strichartz estimates for the Schr\"odinger equation in dimensions, building on ideas from our recent work \cite{MO}.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Mathematical Analysis and Transform Methods