On localization of pseudo-relativistic energy
Alexander A. Balinsky, Alexey E. Tyukov
TL;DR
This paper introduces a Kato-type inequality applicable to bounded domains in higher-dimensional spaces, advancing the mathematical understanding of pseudo-relativistic energy localization.
Contribution
It provides a new inequality for pseudo-relativistic energy in bounded domains, extending previous results to more general settings.
Findings
Established a Kato-type inequality for bounded domains
Extended mathematical tools for pseudo-relativistic energy analysis
Potential applications in quantum physics and PDEs
Abstract
We present a Kato-type inequality for bounded domain Omega \subset R^n, n>1.
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