研究者学術情報データベース

フジイエ　セツロウ
藤家　雪朗
FUJIIE Setsuro

所属理工学部数理科学科

職名教授

論文
1.	2023	Semiclassical WKB problem for the non-self-adjoint Dirac operator with an analytic rapidly oscillating potential │ J. Differ. Equations. │ 360,90-150頁 (共著)
2.	2020/01	Semiclassical WKB problem for the non-self-adjoint Dirac operator with analytic potential │ Journal of Mathematical Physics │ 61 (1) (共著)
3.	2019	Barrier-top resonances for non globally analytic potentials │ Journal of Spectral Theory │ 9 (1),315 - 348 (共著)
4.	2018	Quantization condition for multi-barrier resonances │ RIMS Kokyuroku Bessatsu │ B67,43-54 (共著)
5.	2018	Quantization conditions of eigenvalues for semiclassical Zakharov-Shabat systems on the circle │ Discrete and Continuous Dynamical Systems │ 38 (3),3851-3873 (共著)
6.	2017/06	Molecular predissociation resonances near an energy-level crossing II: Vector field interaction │ Journal of Differential Equations │ 262 (12),5880--5895 (共著)
7.	2017	Propagation des singularités et résonances │ 335 (8),887-891 (共著)
8.	2017	Quantization condition of resonances at energy-level crossing │ RIMS Kokyuroku Bessatsu │ B61,9-21 (共著)
9.	2017	Semiclassical Trace Formula and Spectral Shift Function for Systems via a Stationary Approach │ International Mathematics Research Notes │ 2019 (4),1227 - 1264 (共著)
10.	2016/03	Molecular predissociation resonances near an energy-level crossing I: Elliptic interaction │ Journal of Differential Equations │ 260 (5),4051-4085 (共著)
11.	2015	A time-independent approach for the study of the spectral shift function and an application to Stark Hamiltonians │ Communications in Partial Differential Equations │ 40 (10),1787-1814 (共著)
12.	2014	Resonances generated by a homoclinic curve │ RIMS K\^oky\^uroku │ 1914,121-138 (共著)
13.	2014	Width of resonances created by homoclinic orbits - isotropic fixed point case - │ RIMS K\^oky\^uroku Bessatsu │ B45,31-44 (共著)
14.	2011	Spectral Projection, Residue of the Scattering Amplitude and Schrodinger group expansion for barrier top resonances │ Ann. Inst. Fourier │ 61 (4),1315-1406 (共著)
15.	2010	Semiclassical complex interactions at a non-analytic turning point │ RIMS K\^oky\^uroku Bessatsu │ B37,31-47 (共著)
16.	2010	Width of shape resonances for non globally analytic potentials │ J. Math. Soc. Japan │ 63 (1),1 - 78 (共著)
17.	2009	Semiclassical resonances for a two-level Schr\"odinger operator with a conical intersection │ Asymptotic Analysis │ 65 (1-2),17-58 (共著)
18.	2008	Propagation of microlocal solutions through a hyperbolic fixed point │ RIMS K\^oky\^uroku Bessatsu │ B10,1-32 (共著)
19.	2007	Microlocal kernel of pseudodifferential operators at a hyperbolic fixed point │ J. Funct. Anal. │ 252 (1),68-125 (共著)
20.	2004	Bohr-Sommerfeld quantization condition derived by a microlocal WKB method │ Vietnam Jouranl of Mathematics │ 32,68-125 (共著)
21.	2003	Breit-Wigner formula at barrier tops │ J. Math. Phys. │ 44 (5),1971-1983 (共著)
22.	2002	Exact WKB analysis and the Langer modification with application to barrier top resonances │ Kyoto University Press, "Toward the exact WKB analysis of differential equations, linear and non-linear │ ,15-32 (共著)
23.	1998	Matrice de scattering et r\'esonances associ\'ees \`a une orbite h\'et\'erocline │ 69 (1),31-82 (共著)
24.	1998	Semiclassical representation of the scattering matrix by a Feynmann integral │ Comm. Math. Phys. │ 198,407-425 (単著)
25.	1997	Solutions ramifi\'ees des probl\`emes de Cauchy caract\'eristiques et fonctions hyper -g\'eom\'etriques \`a deux variables │ 6,1-49 (単著)
26.	1993	Repr\'esentation hyperg\'eom\'etrique des singularit\'es de la solution du probl\`eme de Cauchy caract\'eristique \`a donn\'ees holomorphes │ 18,1589-1629 (単著)
27.	1991	Singular Cauchy problems of higher order with characteristic initial surface │ Journal of Math. Kyoto Univ. │ 33,1-27 (単著)