| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2017: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Outline of Final Research Achievements |
We consider the well-posedness for an abstract parabolic variational inequality with some volume constraint. Using the abstract theory for operator inclusion of subdifferential which is related to the volume constraint on some Banach space, we can obtain the suitable well-posedness results for Allen-Cahn equation or Cahn-Hilliard system with dynamic boundary conditions. As the gift of this treatment, we can find an interesting problem of equation and dynamic boundary condition of Cahn-Hilliard type, and then, we also prove the well-posedness of this kind of Cahn-Hilliard system.
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