Study on the well-posedness of hyperbolic equation with memory

2014 Fiscal Year Final Research Report

• Project/Area Number: 24540158
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Basic analysis
• Research Institution: Ibaraki University
• Principal Investigator: OKA Hirokazu 茨城大学, 工学部, 教授 (90257254)
• Co-Investigator(Kenkyū-buntansha): HIRASAWA Gou 茨城大学, 工学部, 教授 (10434002) ; UEKI Sei-ichirou 茨城大学, 工学部, 准教授 (70512408) ; HOSOKAWA Takuya 茨城大学, 工学部, 准教授 (90553579)
• Co-Investigator(Renkei-kenkyūsha): TANAKA Naoki 静岡大学, 理学部, 教授 (00207119)
• Project Period (FY): 2012-04-01 – 2015-03-31
• Keywords: quasilinear equation / 半閉作用素 / DeBranges空間 / Fock型空間 / Volterra型積分作用素 / 合成作用素 / 解析関数空間 / Hardy空間

Outline of Final Research Achievements

Although the equations to be studied were often individually considerd while taking advantage of the characteristics of the equations, in this study we tried to find a systematic nature from its individual considerations, and construct a unified well-posedness theory for the equations to be studied. Specifically, we tried to establsh abstract theory for the evolution equation and studied its related reseach topics. Moreover, we carried out research from the point of view of analytic function space, Hibert space and Hardy space which are important function spaces as a place where equation works.

Free Research Field

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