Inverse problems for degenerate hyperbolic partial differential equations on manifolds

KAKEN

About This Project

Japan Grant Number
JP22K20340 (JGN)
Funding Program
Grants-in-Aid for Scientific Research
Funding Organization
Japan Society for the Promotion of Science

Kakenhi Information

Project/Area Number
22K20340
Research Category
Grant-in-Aid for Research Activity Start-up
Allocation Type
  • Multi-year Fund
Review Section / Research Field
  • 0201:Algebra, geometry, analysis, applied mathematics,and related fields
Research Institution
  • Kyushu University
Project Period (FY)
2022-08-31 〜 2024-03-31
Project Status
Completed
Budget Amount*help
2,860,000 Yen (Direct Cost: 2,200,000 Yen Indirect Cost: 660,000 Yen)

Research Abstract

境界でローレンツ計量が発散する多様体上の波動方程式は退化双曲型偏微分方程式に分類され，多様体内部の情報を境界での観測データから抽出することは物理学においても重要な課題である．そこで未知の波源を決定する逆問題及び方程式中の未知係数を決定する逆問題に対し，一意性及び安定性評価を確立する．

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