Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2011: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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Outline of Final Research Achievements |
With Professor Kazuhiro Ishige, who is my liaison collabolator, I investigated the large time behaviors of solutions to linear parabolic equations. During the research, I found that properties of a positive solution to the corresponding elliptic equations, which describe the steady states, affect the large time behaviors of solutions and published the main results in Journal of Functional analysis in 2012. Also related results on large time behaviors of solutions were published in foreign academic journals. Properties of solutions to elliptic equations on a sphere or on the hyperbolic space were also invesitgated and published in foreign academic journals.
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