Research Keywords 【 display / non-display

  • Feynman path integrals for Schroedinger equations, , Feynman path integrals for Dirac equations,, Wellposed space of nonlinear parabolic equations.

Research Pursuits 【 display / non-display

  • The idea of Feynman's integral is a topic of great interest in mathematics and physics.
    But rigorous mathematical treatment of this integral is not enough.
    We shall define a kind of operator-valued integration and define the path integrals

    Reducing matrix-valued functions to scalar functions, we prove path integrals for Dirac equations are represented by an $L(L^2,L^2)$-valued measure.

Campus Career 【 display / non-display

  • Graduate School of Humanities and Sciences, Research Organization, the Core Section The Natural/Applied Sciences Division, Lecturer

  • Faculty of Core Research Natural Science Division, Lecturer

  • Graduate School of Humanities and Sciences, Education Organization, Doctral Program Advanced Sciences

  • Graduate School of Humanities and Sciences, Education Organization, Doctral Program Advanced Sciences

  • Graduate School of Humanities and Sciences, Education Organization, Master's Program Advanced Sciences

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Papers 【 display / non-display

  • well posed function spaces” for $L^2$-illposed hyperbolic equations.

    Journal of Nonlinear and Convex Analysis., vol.19(9)(p.1525 - 1530), 2018, KIYOKO FURUYA, Original, Research paper (scientific journal), Single Author

  • ABOUTO FORMALLY SELF-ADJOINT SCHERODINGER OPERATORS WITH POTENTIAL

    Proceedings of 9th International Conference on Nonlinear Analysis and Convex Analysis(2015)(p.99 - 109), 2016.02, KIYOKO FURUYA, Original, Research paper (international conference proceedings), Single Author

  • A CONTRACTION SEMIGROUP FOR FORMALLY SELF-ADJOINT SCHERODINGER OPERATORS

    Proceedings of the 8th International Conference on Nonlinear Analysis and Optimization (NAO-Asia2012)(p.41 - 53), 2015.01, KIYOKO FURUYA, Original, Research paper (international conference proceedings), Single Author

  • Formally Self-Adjoint Schrodinger Operators with Real Measurable Potential

    Journal of Nonlinear and Convex Analysis, vol.15(5)(p.1003 - 1017), 2014.07, FURUYA Kiyoko, Original, Research paper (scientific journal), Single Author

  • FORMALLY SELF-ADJOINT SCHERODINGER OPERATORS

    Proceedings of Asian Conference on Nonlinear Analysis and Optimization (NAO-Asia2012)(p.49 - 61), 2014.06, KIYOKO FURUYA, Original, Research paper (international conference proceedings), Single Author

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Review Papers 【 display / non-display

  • MR3695958 Matsumoto, Toshitaka; Tanaka, Naoki Abstract Cauchy problems for quasilinear operators whose domains are not necessarily dense or constant. Nonlinear Anal. 162 (2017), 91-112. 34G20 (47J35 65J08)

    American Mathematical Society, 2018.01, Kiyoko Furuya, Other, Individual

  • MR3640274 Kalenyuk, P. I.; Nytrebych, Z. M.; Kohut, I. V.; Kuduk, G. Problem for an inhomogeneous second-order evolutionary equation with homogeneous integral conditions. J. Math. Sci. (N.Y.) 223 (2017), no. 1, 1–17. 34B10 (34B27 34G10 35R20)

    American Mathematical Society, 2017.08, Kiyoko Furuya, Other, Individual

  • MR3602514 Barta, T.; Ion, I.; Preda, P. Datko-Perron’s problem for dichotomy of differential equations. Acta Math. Univ. Comenian. (N.S.) 86 (2017), no. 1, 9–22. 34D09 (37D25)

    American Mathematical Society, 2017.04, Kiyoko Furuya, Other, Individual

  • MR3489637 Reviewed Mischler, S.; Scher, J. Spectral analysis of semigroups and growth-fragmentation equations. Ann. Inst. H. Poincaré Anal. Non Linéaire 33 (2016), no. 3, 849–898. (Reviewer: Kiyoko Furuya) 47D06 (34G10 34K30 35P05 35P15 45C05 47A10 92D25)

    American Mathematical Society, 2016.09, Kiyoko Furuya, Other, Individual

  • MR3369390 2015-11-04 Preda, P.; Moleriu, L.; Mure?an, R. Admissibility and uniform dichotomy for evolution families. Semigroup Forum 91 (2015), no. 1, 224?237. (Reviewer: Kiyoko Furuya) 34D09

    American Mathematical Society, 2015.11, Kiyoko Furuya, Other, Individual

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Presentations 【 display / non-display

  • On some idea to uniqueness of weak solutions to Navier-Stokes equation for large t.

    Kjyoko.Furuya, Domestic, 2018.11, The 6th Asian Conference on Nonlinear Analysis and Optimization, Okinawa(Japan), Wataru Takahash, Invited, Main Speaker

  • On ” well posed function spaces” for L2-illposed hyperbolic equations. International Conference on Nonlinear Analysis and Optimization

    FURUYA kiyoko, Domestic, 2016.08, International Conference on Nonlinear Analysis and Optimization, 新潟(日本), 高橋 渉, Not Invited, Main Speaker

  • ABOUT FORMALLY SELF-ADJOINT SCHERODINGER OPERATOR WITH POTENSHAL

    FURUYA kiyoko, International, 2015.01, The Ninth International Conference on Nonlinear Analysis and Convex Analysis (NACA2015), Rimkok Resort Hotel, Chiang Rai, THAILAND , 高橋 渉, Not Invited, Main Speaker

  • A contraction semigroup for formally self-adjoin Scher¨odinger operator

    FURUYA kiyoko, Domestic, 2013.08, NACA2013 The Eighth International Conference on Nonlilear Analysis and Convex Analysis, Hirosaki University, Hirosaki, Aomori, JAPAN, Invited, Main Speaker

  • On the『Sobolev Maps with Values into the Circle』

    FURUYA kiyoko, Domestic, 2012.12, Evolution Equations and Applications, Not Invited, Main Speaker

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