Convexity properties of solutions to the free Schr\"odinger equation with Gaussian decay
L. Escauriaza, C. E. Kenig, G. Ponce, and L. Vega
TL;DR
This paper investigates the convexity characteristics of solutions to the free Schrödinger equation that exhibit Gaussian decay, providing insights into their mathematical behavior and properties.
Contribution
It introduces new convexity properties of solutions to the free Schrödinger equation with Gaussian decay, advancing understanding of their mathematical structure.
Findings
Identified specific convexity properties of solutions with Gaussian decay
Provided mathematical proofs for convexity behavior
Enhanced theoretical understanding of Schrödinger solutions with decay
Abstract
We study convexity properties of solutions to the free Schrodinger equation with Gaussian decay.
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Spectral Theory in Mathematical Physics · Advanced Mathematical Physics Problems