SEARCH
Search Details
MACHIHARA Shuji
| Mathematics, Electronics and Informatics Division | Professor |
| Mathematics |
Researcher information
■ Degree■ Research Keyword
■ Educational Background
Performance information
■ MISC- Scattering theory for the Dirac equation with a non-local term
Shuji Machihara; Kimitoshi Tsutaya
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, Volume：139, Number：4, First page：867, Last page：878, 2009
English
DOI：https://doi.org/10.1017/S0308210507000479
DOI ID：10.1017/S0308210507000479, ISSN：0308-2105, eISSN：1473-7124, Web of Science ID：WOS:000268561500012 - The Cauchy problem for the 1-D Dirac-Klein-Gordon equation
Shuji Machihara
Nonlinear Differential Equations and Applications, Volume：14, Number：5-6, First page：625, Last page：641, Dec. 2007
English
DOI：https://doi.org/10.1007/s00030-007-5027-y
DOI ID：10.1007/s00030-007-5027-y, ISSN：1021-9722, SCOPUS ID：38849149769 - Dirac equation with certain quadratic nonlinearities in one space dimension
Shuji Machihara
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, Volume：9, Number：3, First page：421, Last page：435, Jun. 2007
English
DOI：https://doi.org/10.1142/S0219199707002484
DOI ID：10.1142/S0219199707002484, ISSN：0219-1997, Web of Science ID：WOS:000251009000006 - The explicit solutions to the nonlinear Dirac equation and Dirac-Klein-Gordon equation
Shuji MacHihara; Takayuki Omoso
Ricerche di Matematica, Volume：56, Number：1, First page：19, Last page：30, Jun. 2007
English
DOI：https://doi.org/10.1007/s11587-007-0002-9
DOI ID：10.1007/s11587-007-0002-9, ISSN：0035-5038, SCOPUS ID：34848894824 - Dirac equation with certain quadratic nonlinearities in one space dimension
Shuji Machihara
Communications in Contemporary Mathematics, Volume：9, Number：3, First page：421, Last page：435, Jun. 2007
English
DOI：https://doi.org/10.1142/S0219199707002484
DOI ID：10.1142/S0219199707002484, ISSN：0219-1997, SCOPUS ID：34347354116 - Bilinear estimates for the transport equations
Shuji Machihara
Volume：47, Number：1, First page：189, Last page：196, 2007 - The Cauchy problem for the 1-D Dirac-Klein-Gordon equation
Shuji Machihara
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, Volume：14, Number：5-6, First page：625, Last page：641, 2007
English
DOI：https://doi.org/10.1007/s00030-007-5027-y
DOI ID：10.1007/s00030-007-5027-y, ISSN：1021-9722, Web of Science ID：WOS:000252402400009 - Bilinear estimates for the transport equations
Shuji Machihara
Advanced Studies in Pure Mathematics-Asymptotic Analysis and Singularities, Volume：47, Number：1, First page：189, Last page：196, 2007 - One dimensional Dirac equation with quadratic nonlinearities
S Machihara
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, Volume：13, Number：2, First page：277, Last page：290, Jul. 2005
English
ISSN：1078-0947, Web of Science ID：WOS:000228933400003 - Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation
S Machihara; M Nakamura; K Nakanishi; T Ozawa
JOURNAL OF FUNCTIONAL ANALYSIS, Volume：219, Number：1, First page：1, Last page：20, Feb. 2005
English
DOI：https://doi.org/10.1016/j.jfa.2004.07.005
DOI ID：10.1016/j.jfa.2004.07.005, ISSN：0022-1236, Web of Science ID：WOS:000226268200001 - One dimensional Dirac equation with quadratic nonlinearities
Shuji Machihara
Discrete and Continuous Dynamical Systems - Series A, Volume：13, First page：277, Last page：290, 2005 - SMALL GLOBAL SOLUTIONS FOR NONLINEAR DIRAC EQUATIONS
Shuji Machihara; Makoto Nakamura; Tohru Ozawa
DIFFERENTIAL AND INTEGRAL EQUATIONS, Volume：17, Number：5-6, First page：623, Last page：636, May 2004
English
ISSN：0893-4983, Web of Science ID：WOS:000208532700009 - The inviscid limit for the complex Ginzburg-Landau equation
S Machihara; Y Nakamura
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, Volume：281, Number：2, First page：552, Last page：564, May 2003
English
DOI：https://doi.org/10.1016/S0022-247X(03)00143-4
DOI ID：10.1016/S0022-247X(03)00143-4, ISSN：0022-247X, Web of Science ID：WOS:000183591300011 - The inviscid limit for the complex Ginzburg-Landau equation
S Machihara; Y Nakamura
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, Volume：281, Number：2, First page：552, Last page：564, May 2003
English
DOI：https://doi.org/10.1016/S0022-247X(03)00143-4
DOI ID：10.1016/S0022-247X(03)00143-4, ISSN：0022-247X, Web of Science ID：WOS:000183591300011 - Interpolation inequalities in Besov spaces
Shuji Machihara; Tohru Ozawa
Proceedings of the American Mathematical Society, Volume：131, Number：5, First page：1553, Last page：1556, May 2003
English
DOI：https://doi.org/10.1090/S0002-9939-02-06715-1
DOI ID：10.1090/S0002-9939-02-06715-1, ISSN：0002-9939, SCOPUS ID：0037408055 - Interpolation inequalities in Besov spaces
S Machihara; T Ozawa
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, Volume：131, Number：5, First page：1553, Last page：1556, 2003
English
DOI：https://doi.org/10.1090/S0002-9939-02-06715-1
DOI ID：10.1090/S0002-9939-02-06715-1, ISSN：0002-9939, Web of Science ID：WOS:000180467000026 - Small global solutions and the nonrelativistic limit for the nonlinear Dirac equation
S Machihara; K Nakanishi; T Ozawa
REVISTA MATEMATICA IBEROAMERICANA, Volume：19, Number：1, First page：179, Last page：194, 2003
English
ISSN：0213-2230, Web of Science ID：WOS:000184289400007 - Nonrelativistic limit in the energy space for nonlinear Klein-Gordon equations
S Machihara; K Nakanishi; T Ozawa
MATHEMATISCHE ANNALEN, Volume：322, Number：3, First page：603, Last page：621, Mar. 2002
English
DOI：https://doi.org/10.1007/s002080100293
DOI ID：10.1007/s002080100293, ISSN：0025-5831, Web of Science ID：WOS:000175046400009 - Small data global solutions for Dirac--Klein--Gordon equation
Shuji Machihara
Volume：15, First page：1511, Last page：1517, 2002 - Small data global solutions for Dirac--Klein--Gordon equation
Shuji Machihara
Differential and Integral Equations, Volume：15, First page：1511, Last page：1517, 2002 - The Nonrelativistic Limit of the Nonlinear Klein--Gordon Equation
Shuji Machihara
Volume：44, First page：243, Last page：252, 2001 - The Nonrelativistic Limit of the Nonlinear Klein--Gordon Equation
Shuji Machihara
Funkcialaj Ekvacioj, Volume：44, First page：243, Last page：252, 2001
■ Research projects