1998 Fiscal Year Final Research Report Summary
Studies on the porous media equation
| Project/Area Number |
09640169
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
解析学
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| Research Institution | Kanazawa University |
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Principal Investigator |
HAYASIDA Kazuya Prof., Grad.School Nat.Sci.Tech., Kanazawa University, 自然科学研究科, 教授 (70023588)
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| Co-Investigator(Kenkyū-buntansha) |
MEI Ming Lecturer, Grad, School Nat Sci.Tech., 自然科学研究科, 講師 (70303253)
OGURISU Osamu Assoc.Prof., Fac.Sci.Kanazawa University, 理学部, 助教授 (80301191)
ICHINOSE Takashi Prof., Grad.School Nat.Sci.Tech.Kanazawa University, 自然科学研究科, 教授 (20024044)
GOTO Shunichi Assoc.Prof., Fac.Sci.Kanazawa University, 理学部, 助教授 (30225651)
OMATA Seiro Assoc.Prof., Fac.Sci.Kanazawa University, 理学部, 助教授 (20214223)
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| Project Period (FY) |
1997 – 1998
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| Keywords | porous media / Cauchy problem / elastostatics |
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| Research Abstract |
1. Porous media equation
We considerd the Cauchy problem of the porous media equation. We showed that its spherically symmetric solution has the same property as Barenblatt so1ution, with respect to some regularity property.
2. Equation of linear elastostatics (joint work with K.Wada)
The equation of linear elastostatics was treated in the famous book of Duvaut and Lions, where the existence and the uniqueness off solutions were shown under discontinuous boundary condition. We proved some regularity property for these solutions.
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