Art

J-GLOBAL ID：201802258662397052   Reference number：18A1340002

Strict Solutions to Stochastic Parabolic Evolution Equations in M-Type 2 Banach Spaces

M-2型Banach空間における確率的放物線発展方程式に対する厳密解

Author (3)： Ta Ton Viet (Kyushu University) ,  Yamamoto Yoshitaka (Osaka University) ,  Yagi Atsushi (Osaka University)
Material： Funkcialaj Ekvacioj. International Series  (Funkcialaj Ekvacioj)
Volume： 61  Issue： 2  Page： 191-217(J-STAGE)  Publication year： 2018 
JST Material Number： L4931A  ISSN： 0532-8721  Document type： Article
Article type： 原著論文  Country of issue： Japan (JPN)  Language： ENGLISH (EN)

Thesaurus term： *Banach space ,  *methodology ,  *parabola ,  *evolution equation ,  exact solution ,  *diffusion equation ,  linearity
Semi thesaurus term： *probabilistic method ,  deterministic approach

Author keywords (4)： Analytical semigroups ,  Stochastic linear evolution equations ,  Strict solutions ,  M-type 2 Banach spaces

JST classification (3)： Mathematical physics  (BA03000W) ,  Theory of probability  (AB09000O) ,  Fluctuation phenomena,random process,Brownian motion,and transport process  (BA08020B)

Reference (11)：

• [1] Brzeźniak, Z., Stochastic partial differential equations in M-type 2 Banach spaces, Potential Anal., 4 (1995), 1-45.
• [2] Brzeźniak, Z. and Elworthy, K. D., Stochastic differential equations on Banach manifolds, Meth. Funct. Anal. Topology, 6 (2000), 43-84.
• [3] Da Prato, G. and Zabczyk, J., Stochastic Equations in Infinite Dimensions, Cambridge, 1992.
• [4] Dettweiler, E., On the martingale problem for Banach space valued stochastic differential equations, J. Theoret. Probab., 2 (1989), 159-191.
• [5] Malinowski, M. T., Set-valued and fuzzy stochastic differential equations in M-type 2 Banach spaces, Tohoku Math. J., 67 (2015), 349-381.

Terms in the title (5)： Banach空間 ,  確率 ,  放物線 ,  発展方程式 ,  厳密解