2012 Fiscal Year Final Research Report
Evolution equations and their resolvent problems
| Project/Area Number |
20540190
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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 |
Basic analysis
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| Research Institution | Tokyo University of Science |
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Principal Investigator |
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| Co-Investigator(Renkei-kenkyūsha) |
YOKOTA Tomomi 東京理科大学, 理学部第一部, 准教授 (60349826)
YOSHII Kentarou 東京理科大学, 理学部第一部, 助教 (00632449)
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| Project Period (FY) |
2008 – 2012
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| Keywords | 関数解析 |
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| Research Abstract |
Three main subjects in the application form are stated as follows: (A) The complex Ginzburg-Landau equation;(B) 2nd order linear parabolic equations including 1st order terms with unbounded coefficients;(C) (abstract) non-normal form evolution equations of hyperbolic type. Also, we have studied five subjects related to (A), (B) and (C): (D) The Dirac equation and linear Schrodinger equation with time-dependent potential; (E) Nonlinear Schrodinger equation with inverse-square potential; (F) The operator 2+t|x|-4as a 4thorder analog of Schrodinger operator +t|x|-2(t is a real parameter); (G) Holomorphic family of Schrodinger operator { + k V(x)} in Lp(κ is a complex parameter); (H) Analyticity of the semigroups generated by 2ndorder linear elliptic operators including 1storder terms with unbounded coefficients.
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