自然数理開発研究所

メンバー: 鹿島洋平 (PhD)

• Y. Kashima, Convexity of the phase boundary in the BCS model with imaginary magnetic field, Journal of Mathematical Sciences, the University of Tokyo, 31 (2024), 1--75. The preprint version (54 pages): PDF file (563 KB)
• Y. Kashima, Higher order phase transitions in the BCS model with imaginary magnetic field, Journal of Mathematical Sciences, the University of Tokyo, 30 (2023), 125--203. The preprint version (58 pages): PDF file (910 KB)
• Y. Kashima, Superconducting phase in the BCS model with imaginary magnetic field. III. Non-vanishing free dispersion relations, Journal of Mathematical Sciences, the University of Tokyo, 28 (2021), 399--556.
• Y. Kashima, Superconducting phase in the BCS model with imaginary magnetic field. II. Multi-scale infrared analysis, Journal of Mathematical Sciences, the University of Tokyo, 28 (2021), 181--398.
• Y. Kashima, Superconducting phase in the BCS model with imaginary magnetic field, Journal of Mathematical Sciences, the University of Tokyo, 28 (2021), 1--179.
• Y. Kashima, The zero-temperature limit of the free energy density in many-electron systems at half-filling, Journal of Mathematical Sciences, the University of Tokyo, 24 (2017) 1--158.
• Y. Kashima, Renormalization group analysis of multi-band many-electron systems at half-filling, ``the special issue for the 20th anniversary", Journal of Mathematical Sciences, the University of Tokyo, 23 (2016) 1--288.
• Y. Kashima, Exponential decay of equal-time four-point correlation functions in the Hubbard model on the copper-oxide lattice, Annales Henri Poincaré, 15 (2014) 1453--1522.
• Y. Kashima, Characterization of subdifferentials of a singular convex functional in Sobolev spaces of order minus one, Journal of Functional Analysis, 262 (2012) 2833--2860.
• Y. Kashima, Exponential decay of correlation functions in many-electron systems, Journal of Mathematical Physics, 51 (2010) 063521.
• Y. Kashima, A rigorous treatment of the perturbation theory for many-electron systems, Reviews in Mathematical Physics, 21 (2009) 981--1044.
• Y. Kashima, On the double critical-state model for type-II superconductivity in 3D, ESAIM: Mathematical Modelling and Numerical Analysis, 42 (2008) 333--374.
• C. M. Elliott and Y. Kashima, A finite element analysis of critical-state models for type-II superconductivity in 3D, IMA Journal of Numerical Analysis, 27 (2007) 293--331.
• Y. Giga, Y. Kashima and N. Yamazaki, Local solvability of a constrained gradient system of total variation, Abstract and Applied Analysis, 8 (2004) 651--682.
• Y. Kashima, A subdifferential formulation of fourth order singular diffusion equations, Advances in Mathematical Sciences and Applications, 14 (2004) 49--74.