Work

Microlocal partition of energy for fractional-type dispersive equations

Year: 2025

Type: article

Abstract: This paper is devoted to the proof of the microlocal partition of energy for fractional-type dispersive equations including the Schrödinger equation, the linearized gravity or capillary water-wave equation and the half-Klein-Gordon equation.Roughly speaking, a quarter of the L 2 energy lies inside or outside the "light cone" |x| = |t P ′ (ξ )| for large time.In addition, based on the study of the half-Klein-Gordon equation, the microlocal partition of energy will also be proved for the Klein-Gordon equation.

Source: Analysis & PDE

DOI: 10.2140/apde.2025.18.2081

Author: Haocheng Yang

Institutions: Centre National de la Recherche Scientifique, Université Sorbonne Paris Nord, Laboratoire Analyse, Géométrie et Applications, Centre Borelli

Language: English

Topic: Advanced Mathematical Physics Problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4414006944

FWCI:

Cites: 18

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Related to: 10