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OKAMOTO Mamoru

Academic OrganizationInstitute of Engineering, Academic AssemblyTEL
Education and Research OrganizationDivision of Mathematics and Physics, Faculty of EngineeringFAX
PositionAssistant ProfessorMail Addressm_okamoto@shinshu-u.ac.jp
Address4-17-1, Wakasato, Nagano City 380-8553Web site

Modified:09/30/2019

Profile

Research Field
Partial Differential Equations
Current Subject
Nonlinear Dispersive Equations
Keywords:Well-posedness , Scattering
Academic Societies
Academic Societies
Mathematical Society of Japan
Academic Background
Graduate School
Kyoto University , (Division of Mathematics and Mathematical Sciences , Graduate School of Science) , 2014
Kyoto University , (Division of Mathematics and Mathematical Sciences , Graduate School of Science) , 2011

College
Saitama University , (Faculty of Science) , 2009

Degree
Doctor of Science , Kyoto University
Research Career
Research Career
2014- , Faculty of Engineering, Shinshu University, Assistant Professor
2013-2014 , Kyoto University, Research Fellow of the Japan Society for the Promotion of Science (DC2)

Research

Books, Articles, etc.
Articles
Asymptotic behavior of solutions to a higher-order KdV-type equation with critical nonlinearity
Evol. Equ. Control Theory,8(3):567-601 2019(Sep.)
Author:Mamoru Okamoto


L^p-L^q estimates for the damped wave equation and the critical exponent for the nonlinear problem with slowly decaying data
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS,18(4):1967-2008 2019(Jul.)
Author:Masahiro Ikeda, Takahisa Inui, Mamoru Okamoto, Yuta Wakasugi


On the probabilistic Cauchy theory of the nonlinear Schrodinger equation with non-algebraic nonlinearities
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,39(6):3479-3520 2019(Jun.)
Author:Tadahiro Oh, Mamoru Okamoto, Oana Pocovnicu


LONG-TIME BEHAVIOR OF SOLUTIONS TO THE FIFTH-ORDER MODIFIED KDV-TYPE EQUATION
ADVANCES IN DIFFERENTIAL EQUATIONS,23(9-10):751-792 2018(Sep.)
Author:Mamoru Okamoto


On the cubic Dirac equation with potential and the Lochak-Majorana condition
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,456(2):1203-1237 2017(Dec.)
Author:Piero D'Ancona, Mamoru Okamoto


Well-posedness for the dimension-reduced Chern-Simons-Dirac system
JOURNAL OF EVOLUTION EQUATIONS,17(3):1031-1048 2017(Sep.)
Author:Shuji Machihara, Mamoru Okamoto


Large time asymptotics of solutions to the short-pulse equation
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS,24(4):- 2017(Aug.)
Author:Mamoru Okamoto


Norm inflation for the generalized Boussinesq and Kawahara equations
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,157:44-61 2017(Jul.)
Author:Mamoru Okamoto


RANDOM DATA CAUCHY PROBLEM FOR THE NONLINEAR SCHRODINGER EQUATION WITH DERIVATIVE NONLINEARITY
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,36(12):6943-6974 2016(Dec.)
Author:Hiroyuki Hirayama, Mamoru Okamoto


Well-posedness for a quadratic derivative nonlinear Schrodinger system at the critical regularity
JOURNAL OF FUNCTIONAL ANALYSIS,271(4):747-798 2016(Aug.)
Author:Masahiro Ikeda, Nobu Kishimoto, Mamoru Okamoto


Remarks on ill-posedness for the Dirac-Klein-Gordon system
DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS,13(3):179-190 2016(Jun.)
Author:Shuji Machihara, Mamoru Okamoto


BLOWUP AND ILL-POSEDNESS RESULTS FOR A DIRAC EQUATION WITHOUT GAUGE INVARIANCE
EVOLUTION EQUATIONS AND CONTROL THEORY,5(2):225-234 2016(Jun.)
Author:Piero D'Ancona, Mamoru Okamoto


WELL-POSEDNESS AND ILL-POSEDNESS OF THE CAUCHY PROBLEM FOR THE GENERALIZED THIRRING MODEL
DIFFERENTIAL AND INTEGRAL EQUATIONS,29(5-6):401-420 2016(May)
Author:Hyungjin Huh, Shuji Machihara, Mamoru Okamoto


WELL-POSEDNESS AND SCATTERING FOR FOURTH ORDER NONLINEAR SCHRODINGER TYPE EQUATIONS AT THE SCALING CRITICAL REGULARITY
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS,15(3):831-851 2016(May)
Author:Hiroyuki Hirayama, Mamoru Okamoto


Sharp Well-Posedness and Ill-Posedness for the Chern-Simons-Dirac System in One Dimension
INTERNATIONAL MATHEMATICS RESEARCH NOTICES,(6):1640-1694 2016(Jan.)
Author:Shuji Machihara, Mamoru Okamoto


Well-posedness of the Cauchy problem for the Maxwell-Dirac system in one space dimension
Adv. Stud. Pure Math.,64:497-505 2015(Apr.)
Author:Mamoru Okamoto


Ill-posedness of the Cauchy problem for the Chem-Simons-Dirac system in one dimension
JOURNAL OF DIFFERENTIAL EQUATIONS,258(4):1356-1394 2015(Feb.)
Author:Shuji Machihara, Mamoru Okamoto


WELL-POSEDNESS OF THE CAUCHY PROBLEM FOR THE CHERN-SIMONS-DIRAC SYSTEM IN TWO DIMENSIONS
JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS,10(4):735-771 2013(Dec.)
Author:Mamoru Okamoto


WELL-POSEDNESS AND ILL-POSEDNESS OF THE CAUCHY PROBLEM FOR THE MAXWELL DIRAC SYSTEM IN 1+1 SPACE TIME DIMENSIONS
ADVANCES IN DIFFERENTIAL EQUATIONS,18(1-2):179-199 2013(Jan.)
Author:Mamoru Okamoto


Well-posedness of the Cauchy problem for the Maxwell-Dirac system in one space dimension (Mathematical Analysis in Fluid and Gas Dynamics)
RIMS Kokyuroku,1782:135-149 2012(Mar.)
Author:Mamoru Okamoto


Presentations
On the critical exponent for the damped nonlinear wave equation with slowly decaying data
Analysis Seminar , University of Birmingham 2019(Jul. 11)
Author:Mamoru Okamoto


On the damped nonlinear wave equation with slowly decaying data
UK Network on Hyperbolic Equations and Related Topics , International Centre for Mathematical Sciences 2019(May 16)
Author:Mamoru Okamoto


On the energy critical nonlinear Schrodinger equations with randomized initial data
Stochastic partial differential equations and related topics , Shinshu University 2018(Jul. 26)
Author:Mamoru Okamoto


Random data Cauchy problem for the energy-critical nonlinear Schrodinger equations
The 11th Mathematical Society of Japan Seasonal Institute , Hokkaido University 2018(Jul. 03)
Author:Mamoru Okamoto


Random data Cauchy problem for the energy-critical nonlinear Schrodinger equations
Harmonic Analysis and Nonlinear Partial Differential Equations , Kyoto University 2018(Jun. 26)
Author:Mamoru Okamoto


Random data Cauchy problem for the energy critical nonlinear Schrodinger equations
Nonlinear Dispersive Equations in Kumamoto , Kumamoto University 2018(Jan. 21)
Author:Mamoru Okamoto


Asymptotic behavior of solutions to the short-pulse equation
Analysis Seminar , The University of Edinburgh 2017(Sep. 25)
Author:Mamoru Okamoto


Asymptotic behavior of solutions to the short-pulse equation
The 5th East Asian Conference in Harmonic Analysis and Applications , Hangzhou West Lake Hillview International Hotel 2017(Jun. 10)
Author:Mamoru Okamoto


Sharp well-posedness and ill-posedness for the Chern-Simons-Dirac system in one dimension
Harmonic Analysis and Partial Differential Equations , ICMS 2015(Jul. 27)
Author:Mamoru Okamoto


Sharp well-posedness for the Chern-Simons-Dirac system in one dimension
The 39th Sapporo Symposium on Partial Differential Equations , Hokkaido University 2014(Aug. 25)
Author:Mamoru Okamoto


On the Cauchy problem of the generalized Thirring equations
Seminar in Mathematics , Chung-Ang University 2014(Mar. 27)
Author:Mamoru Okamoto


Well-posedness and ill-posedness for a system for the Chern-Simons-Dirac system in one dimension
Critical exponents and nonlinear evolution equations , Tokyo University of Science 2014(Feb. 10)
Author:Mamoru Okamoto


Ill-posedness for the Chern-Simons-Dirac system in one dimension
Nonlinear Dispersive Equations and Harmonic Analysis , Kyoto University 2014(Jan. 14)
Author:Mamoru Okamoto


Ill-posedness of the Cauchy problem for the Chern-Simons-Dirac system in one dimension
Seminar in nonlinear PDE center , Chung-Ang University 2013(Nov. 13)
Author:Mamoru Okamoto


Well-posedness for the Chern-Simons-Dirac system in two dimensions
Nonlinear Dispersive Equations and Related Topics , Kyoto University 2013(Jul. 03)
Author:Mamoru Okamoto


Well-posedness for the Chern-Simons-Dirac system
Kyoto RIMS-SNU workshop , Seoul National University 2013(Feb. 18)
Author:Mamoru Okamoto


Well-posedness for the Chern-Simons-Dirac system in two dimensions
Doctoral Forum of Mathematics between Fudan and Kyoto Universities , Kyoto University 2012(Dec. 08)
Author:Mamoru Okamoto


Well-posedness and ill-posedness of the Cauchy problem for the Maxwell-Dirac system in 1+1 space time dimensions
Nonlinear Wave and Dispersive Equations , Kyoto University 2012(Mar. 08)
Author:Mamoru Okamoto


Well-posedness of the Maxwell-Dirac system in 1+1 space time dimensions
Doctoral Forum of Mathematics between Fudan and Kyoto Universities , Fudan University 2011(Oct. 31)
Author:Mamoru Okamoto


Well-posedness of the Maxwell-Dirac system in 1+1 space time dimensions
the 4th MSJ-SI , Kyushu University 2011(Sep. 20)
Author:Mamoru Okamoto


Well-posedness of the Maxwell-Dirac system in 1+1 space time dimensions
Mathematical Analysis in Fluid and Gas Dynamics , Kyoto University 2011(Jul. 08)
Author:Mamoru Okamoto


Well-posedness of the Maxwell-Dirac system in 1+1 space time dimensions
Doctorial Forum Fudan-Kyoto , Kyoto University 2011(Mar. 14)
Author:Mamoru Okamoto

Education

Lectures
Linear Algebra II
Mathematics for engineering II
Mathematics for engineering II
Mathematics for engineering II
Mathematics for engineering II
Thesis Guidance
2017
Graduation Thesis Number of Students Total:1

2014
Graduation Thesis Number of Students Total:3