| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Research Abstract |
I discussed the propagation of singularities and the spectral and scattering theory for the Schrodinger operator on a noncompact manifold with ends. Iextended results on the Euclidean space to those manifolds and studied what geometric structure is essentially needed for such analysis. I found that the existence of an endand its volume growth rate can be rephrased in terms of the existence of an unbounded convex function and its strength of convexity, respectively, and formulated geometrically, without coordinates, one model manifold on which methods of the Schrodinger operator theory applies.
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