Research theme for competitive and other funds (3):
2022 - 2024 領域上の特異な拡散過程に対する一意性と離散近似
2019 - 2024 ディリクレ形式に基づく確率解析の研究-空間構造と特異性の解明-
2020 - 2022 拡散過程の特異な時間変更に付随する自己共役作用素と熱核に関する研究
Papers (7):
Kouhei Matsuura. Hölder estimates for resolvents of time-changed Brownian motions. Springer Proceedings in Mathematics and Statistics (掲載決定). 2021
Masanori Hino, Kouhei Matsuura, Misaki Yonezawa. Pathwise Uniqueness and Non-explosion Property of Skorohod SDEs with a Class of Non-Lipschitz Coefficients and Non-smooth Domains. JOURNAL OF THEORETICAL PROBABILITY. 2021. 34. 4. 2166-2191
Seiichiro Kusuoka, Kazuhiro Kuwae, Kouhei Matsuura. Equivalence of the strong Feller properties of analytic semigroups and associated resolvents. Springer Proceedings in Mathematics and Statistics (掲載決定). 2021
Kouhei Matsuura. Compactness of semigroups of explosive symmetric Markov processes. KYOTO JOURNAL OF MATHEMATICS. 2021. 61. 1. 97-113
Kouhei Matsuura. LP-spectral independence of Neumann Laplacians on horn-shaped domains. JOURNAL OF EVOLUTION EQUATIONS. 2020. 20. 4. 1269-1286