| Budget Amount *help |
¥39,780,000 (Direct Cost: ¥30,600,000、Indirect Cost: ¥9,180,000)
Fiscal Year 2018: ¥7,410,000 (Direct Cost: ¥5,700,000、Indirect Cost: ¥1,710,000)
Fiscal Year 2017: ¥7,540,000 (Direct Cost: ¥5,800,000、Indirect Cost: ¥1,740,000)
Fiscal Year 2016: ¥8,190,000 (Direct Cost: ¥6,300,000、Indirect Cost: ¥1,890,000)
Fiscal Year 2015: ¥7,930,000 (Direct Cost: ¥6,100,000、Indirect Cost: ¥1,830,000)
Fiscal Year 2014: ¥8,710,000 (Direct Cost: ¥6,700,000、Indirect Cost: ¥2,010,000)
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| Outline of Final Research Achievements |
Regarding the critical interactions in the theory of classical fields, we have studied equations of nonrelativistic fields and of semirelativistic fields and related inequalities appearing in the analysis of those equations. As for the nonlinear Shr\"odinger equations, we proved blow-up of solutions in non-gauge invariant setting.
Moreover, we have improved the Br\'ezis-Gallou\"et argument by renormalizing higher order energy to cover higher order nonlinearities in the global Cauchy problem for nonrelativistic and semirelativistic equations.
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