山崎 教昭のHPです

山崎 教昭のHPです

1. M.H. Farshbaf-Shaker, T. Fukao and N. Yamazaki,
   Singular limit of Allen--Cahn equation with constraint and its Lagrange multiplier,
   pp. 418--427, Dynamical Systems, Differential Equations and Applications, AIMS Proceedings,
   2015.
   　
2. K. Shirakawa, H. Watanabe and N. Yamazaki,
   Phase-filed systems for grain boundary motion under isothermal solidifications,
   Advances in Mathematical Sciences and Applications,
   24(2014), 353--400.
   　
3. L. Zhang, N. Yamazaki and R. Guo,
   Positive solutions for impulsive differential equations with mixed monotonicity and optimal control,
   Abstr. Appl. Anal.,
   2014, Art. ID 974968, 11 pp.
   　
4. N. Yamazaki,
   Global attractors for non-autonomous phase-field systems of grain boundary motion with constraint,
   Advances in Mathematical Sciences and Applications,
   23(2013), 267--296.
   　
5. K. Shirakawa, H. Watanabe and N. Yamazaki,
   Solvability for one-dimensional phase field system associated with grain boundary motion,
   Mathematische Annalen,
   356(2013), 301--330.
   　
6. K. Shirakawa and N. Yamazaki,
   Optimal control problems of phase field system with total variation functional as the interfacial energy,
   Advances in Differential Equations,
   18(2013), 309--350.
   　
7. L. Zhang, N. Yamazaki and C. Zhai,
   Optimal control problem of positive solutions to second order impulsive differential equations,
   Zeitschrift fur Analysis und ihre Anwendungen,
   31(2012), 237--250.
   　
8. M. Kubo, K. Shirakawa and N. Yamazaki,
   Variational Inequalities for a System of Elliptic-Parabolic Equations,
   Journal of Mathematical Analysis and Applications,
   387(2012), 490--511.
   　
9. T. Ohtsuka, K. Shirakawa and N. Yamazaki,
   Optimal control problem for Allen-Cahn type equation associated with total variation energy,
   Discrete and Continuous Dynamical Systems, Series S,
   5(2012), 159--181.
   　
10. A. Ito, N. Kenmochi and N. Yamazaki,
    Global solvability of a model for grain boundary motion with constraint,
    Discrete and Continuous Dynamical Systems, Series S,
    5(2012), 127--146.
    　
11. N. Kenmochi and N. Yamazaki,
    Global attractor of the multivalued semigroup associated with a phase-field model of grain boundary motion with constraint,
    pp. 824--833, Dynamical Systems, Differential Equations and Applications, Volume II,
    Discrete and Continuous Dynamical Systems, A Supplement Volume, 2011.
    　
12. N. Kenmochi and N. Yamazaki,
    Large-time behavior of solutions to a phase-field model of grain boundary motion with constraint,
    pp. 389--403, in Current Advances in Nonlinear Analysis and Related Topics,
    GAKUTO Internat. Ser. Math. Sci. Appl., vol. 32, Gakkotosho, Tokyo, 2010.
    　
13. H. Kuroda and N. Yamazaki,
    Approximating problems of vectorial singular diffusion equations with inhomogeneous terms and numerical simulations,
    pp. 486--495, in Dynamical Systems, Differential Equations and Applications, Discrete and Continuous Dynamical Systems,
    A Supplement Volume, 2009.
    　
14. M. Kubo and N. Yamazaki,
    Convergence and optimal control problems for elliptic-parabolic variational inequalities with time-dependent constraints,
    Advances in Mathematical Sciences and Applications,
    19(2009), 155--183.
    　
15. N. Yamazaki,
    Optimal control of nonlinear evolution equations associated with time-dependent subdifferentials and applications,
    Nonlocal and Abstract Parabolic Equations and their Applications, the Banach Center Publications, Institute of Mathematics Polish Academy of Sciences,
    86(2009), 313--327.
    　
16. A. Ito, N. Kenmochi and N. Yamazaki,
    Weak solutions of grain boundary motion model with singularity,
    Rendiconti di Matematica e delle sue Applicazioni. Serie VII,
    29(2009), 51--63.
    　
17. N. Yamazaki,
    Convergence and optimal control problems of nonlinear evolution equations governed by time-dependent operator,
    Nonlinear Analysis. Theory, Methods & Applications,
    70(2009), 4316--4331.
    　
18. T. Ohtsuka, K. Shirakawa and N. Yamazaki,
    Convergence of numerical algorithm for optimal control problem of Allen-Cahn type equation with constraint,
    pp. 441--462, in Proceedings of International Conference on: Nonlinear Phenomena with Energy Dissipation--Mathematical Analysis, Modelling and Simulation--,
    GAKUTO Intern. Ser. Math. Appl., vol 29, Gakkotosho, Tokyo, 2008.
    　
19. A. Ito, N. Kenmochi and N. Yamazaki,
    A phase-field model of grain boundary motion,
    Applications of Mathematics, 53(2008), 433--454.
    　
20. T. Ohtsuka, K. Shirakawa and N. Yamazaki,
    Optimal control of a singular diffusion equation with constraint,
    Advances in Mathematical Sciences and Applications, 18(2008), 1--28.
    　
21. N. Yamazaki,
    Optimal control problems of quasilinear elliptic-parabolic equation,
    pp. 245--259, in Recent Advances in Nonlinear Analysis, Proceedings of the International Conference on Nonlinear Analysis,
    World Sci. Publ., 2008.
    　
22. K. Shirakawa, M. Kubo and N. Yamazaki,
    Well-posedness and periodic stability for quasilinear parabolic variational inequalities with time-dependent constraints,
    pp. 181--196, in Recent Advances in Nonlinear Analysis, Proceedings of the International Conference on Nonlinear Analysis,
    World Sci. Publ., 2008.
    　
23. M. Kubo and N. Yamazaki,
    Periodic stability of elliptic-parabolic variational inequality with time-dependent boundary double obstacles,
    pp. 614--623 , in Dynamical Systems, Differential Equations and Applications,
    Discrete and Continuous Dynamical Systems, A Supplement Volume, 2007.
    　
24. K.-H. Hoffmann, N. Kenmochi, M. Kubo and N. Yamazaki,
    Optimal control problems for models of phase-field type with hysteresis of play operator,
    Advances in Mathematical Sciences and Applications, 17(2007), 305--336.
    .
25. M. Kubo and N. Yamazaki,
    Elliptic-parabolic variational inequalities with time-dependent constraints,
    Discrete and Continuous Dynamical Systems, 19(2007), 335--359..
    　
26. Y. Giga, H. Kuroda and N. Yamazaki,
    Global solvability of constrained singular diffusion equation associated with essential variation,
    pp. 209--218, In Free Boundary Problems:Theory and Applications,
    Int. Series Numer. Math., Vol. 154, Birkhauser, Basel, 2006.
    　.
27. K.-H. Hoffmann, M. Kubo and N. Yamazaki,
    Optimal control problems for elliptic-parabolic variational inequalities with time-dependent constraints,
    Numerical Functional Analysis and Optimization, 27(2006), 329--356.
    　
28. M. Kubo and N. Yamazaki,
    Periodic solutions of elliptic-parabolic variational inequalities with time-dependent constraints,
    Journal of Evolution Equations, 6(2006), 71--93.
    　.
29. N. Yamazaki,
    A class of nonlinear evolution equations governed by time-dependent operators of subdifferential type,
    pp. 280--296, In Mathematical Approach to Nonlinear Phenomena; Modelling, Analysis and Simulation,
    GAKUTO Intern. Ser. Math. Appl., vol 23, Gakkotosho, Tokyo, 2005.
    　
30. Y. Giga, H. Kuroda and N. Yamazaki,
    An existence result for a discretized constrained gradient system of total variation flow in color image processing,
    Interdisciplinary Information Sciences, 11(2005), 199-204.
    　
31. N. Yamazaki,
    Doubly nonlinear evolution equation associated with elliptic-parabolic free boundary problems,
    pp. 920--929, In Dynamical Systems and Differential Equations,
    Discrete and Continuous Dynamical Systems, A Supplement Volume, 2005..
    　
32. M. Kubo and N. Yamazaki,
    Quasilinear parabolic variational inequalities with time-dependent constraints,
    Advances in Mathematical Sciences and Applications, 15(2005), 335--354.
    　
33. N. Yamazaki,
    Attractors of asymptotically periodic multivalued dynamical systems governed by time-dependent subdifferentials,
    Electron. J. Differential Equations, 2004(2004), No. 107, pp. 1--22.
    　.
34. N. Yamazaki,
    Stability for asymptotically periodic multivalued dynamical systems
    generated by double obstacle problems,
    pp. 352--367, In Nonlinear Partial Differential Equations and Their Applications,
    GAKUTO Intern. Ser. Math. Appl., vol 20, Gakkotosho, Tokyo, 2004..
    　
35. Y. Giga, Y. Kashima and N. Yamazaki,
    Local solvability of a constrainted gradient system of total variation,
    Abstract and Applied Analysis, 2004(2004), 651-682..
    　
36. N. Yamazaki,
    Global attractor for periodic multivalued dynamical systems generated
    by time-dependent subdifferential operators,
    Advances in Mathematical Sciences and Applications, 13(2003), 663--683..
    　
37. N. Yamazaki,
    Global attractors for non-autonomous multivalued dynamical systems associated with double obstacle problems,
    pp. 935--944, In Dynamical systems and differential equations (Wilmington, NC, 2002),
    Discrete and Continuous Dynamical Systems, A Supplement Volume, 2003.
    　
38. N. Yamazaki,
    Attractors for non-autonomous multivalued evolution systems generated by time-dependent subdifferentials,
    Abstract and Applied Analysis, 7(2002), 453-473.
    　.
39. N. Kenmochi and N. Yamazaki,
    Global attractors for multivalued flows associated with subdifferentials,
    pp. 135--144, In Elliptic and Parabolic Problems, (Rolduc/Gaeta, 2001),
    World Sci. Publ., River Edge, NJ, 2002.
    　
40. T. Okazaki and \underline{N. Yamazaki,
    Numerical results for the dam problem in two dimensional case,
    pp. 291--305, In The 2nd Polish-Japanese Days on Mathematical Aspects of Modelling Structure Formation Phenomena,
    GAKUTO Intern. Ser. Math. Appl., vol 17, Gakkotosho, Tokyo, 2001.
    　.
41. N. Yamazaki,
    Almost periodic stability for doubly nonlinear evolution equations generated by subdifferentials,
    Nonlinear Analysis. Theory, Methods & Applications, 47(2001), 1725--1736..
    　
42. A. Ito, N. Kenmochi and N. Yamazaki,
    Time-dependent attractors of bounded dynamical systems generated by subdifferentials,
    Communications in Applied Analysis, 5(2001), 403--419..
    　
43. N. Yamazaki,
    Almost periodicity of solutions to elliptic-parabolic free boundary problems,
    pp. 386--397, In Dynamical systems and differential equations (Kennesaw, GA, 2000),
    Discrete and Continuous Dynamical Systems, Added Volume, 2001..
    　
44. N. Yamazaki, M. Takahashi and M. Kubo,
    Global attractors of phase transition models with hysteresis and diffusion effects,
    pp. 460--471, In Free Boundary Problems: Theory and Applications II,
    GAKUTO Intern. Ser. Math. Appl., vol 14, Gakkotosho, Tokyo, 2000..
    　
45. K. Shirakawa and N. Yamazaki,
    Time-dependent attractors of bounded systems associated with doubly nonlinear equations,
    pp. 298--313, In Free Boundary Problems: Theory and Applications I,
    GAKUTO Intern. Ser. Math. Appl., vol 13, Gakkotosho, Tokyo, 2000.
    　
46. N. Yamazaki,
    Periodic behaviour of solutions of time-dependent double obstacle problems,
    Advances in Mathematical Sciences and Applications, 9(1999), 885--906..
    　
47. A. Ito, N. Kenmochi and N. Yamazaki,
    Attractors of periodic systems generated by time-dependent subdifferentials,
    Nonlinear Analysis. Theory, Methods & Applications, 37(1999), 97--124..
    　
48. N. Yamazaki,
    Periodic solutions for phase transition models,
    Nonlinear Analysis. Theory, Methods & Applications, 35(1999), 399--412..
    　
49. K. Shirakawa, A. Ito, N. Yamazaki and N. Kenmochi,
    Asymptotic stability for evolution equations governed by subdifferentials,
    pp. 287--310, In Recent Developments in Domain Decomposition Methods and Flow Problems,
    GAKUTO Intern. Ser. Math. Appl., vol 11, Gakkotosho, Tokyo, 1998.
    　
50. K. Shirakawa, A. Ito, N. Yamazaki and N. Kenmochi,
    Asymptotic stability for evolution systems associated with phase transitions,
    pp. 104--115, In Progress in partial differential equations, Pont-a-Mousson 1997 Volume 2,
    Pitman Research Notes in Mathematics Series, {\bf 384}, Longman, Harlow, 1998.
    　
51. A. Ito, N. Yamazaki and N. Kenmochi,
    Attractors of nonlinear evolution systems generated by time-dependent subdifferentials in Hilbert spaces,
    pp. 327--349, In Dynamical Systems and Differential Equations, Missouri 1996 Volume 1,
    ed. W. Chen and S. Hu, Discrete and Continuous Dynamical Systems, Added Volume, Southwest Missouri State University, 1998.
    　
52. N. Yamazaki, A. Ito and N. Kenmochi,
    Global attractor of time-dependent double obstacle problems,
    pp. 288--301, In Functional Analysis and Global Analysis,
    ed. T. Sunada and P. W. Sy, Springer-Verlag, Singapore, 1997.