基于Finsler几何和各向异性弹性的球面数据沿测地线重建

IF 2.1 1区数学 Q1 MATHEMATICS

Journal de Mathematiques Pures et Appliquees Pub Date : 2025-02-24 DOI:10.1016/j.matpur.2025.103688

Maarten V. de Hoop , Joonas Ilmavirta , Matti Lassas

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引用次数: 0

摘要

Dix提出了从点源波前测量中恢复弹性体的反问题。我们在地震学的背景下将这个问题几何化，导致从给定的开放子集的某些球体数据中恢复芬斯勒流形的几何逆问题。我们通过测量集沿任意测地线局部求解这个问题。

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Reconstruction along a geodesic from sphere data in Finsler geometry and anisotropic elasticity

Dix formulated the inverse problem of recovering an elastic body from the measurements of wave fronts of point sources. We geometrize this problem in the context of seismology, leading to the geometrical inverse problem of recovering a Finsler manifold from certain sphere data in a given open subset of the manifold. We solve this problem locally along any geodesic through the measurement set.

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来源期刊

Journal de Mathematiques Pures et Appliquees 数学-数学

CiteScore

4.30

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： Published from 1836 by the leading French mathematicians, the Journal des Mathématiques Pures et Appliquées is the second oldest international mathematical journal in the world. It was founded by Joseph Liouville and published continuously by leading French Mathematicians - among the latest: Jean Leray, Jacques-Louis Lions, Paul Malliavin and presently Pierre-Louis Lions.