معرفی
Shigeaki Koike is a Professor at Waseda University's School of Advanced Science and Engineering, specializing in viscosity solution theory for partial differential equations. He has held academic positions at Waseda University since 2019, following professorships at Tohoku University (2012-2019) and Saitama University (2006-2012). His academic journey began at Waseda University where he completed both his undergraduate studies (1981) in Physics and his graduate studies (1988).
His research focuses on viscosity solution theory, particularly for fully nonlinear partial differential equations. Key areas include maximum principles (especially ABP-type), regularity theory for equations with unbounded coefficients, obstacle problems, and integro-differential equations. His work provides fundamental theoretical frameworks for analyzing nonlinear phenomena in mathematical physics and engineering applications.
His publication record shows consistent research output with 37 papers and 517 citations (h-index 13) as of 2025. His recent work (2015-2024) demonstrates continued leadership in the field, with emphasis on equations with unbounded terms, obstacle problems, and regularity results. His research shows a clear progression from foundational theory to increasingly complex applications.
- Analysis Prize (2016) from Japanese Mathematical Society for work on Lp viscosity solution theory
- JMSJ Outstanding Paper Prize (2010) from Japanese Mathematical Society
Professor Koike serves on committees for the Japanese Mathematical Society and has participated in numerous international conferences as an invited speaker. His current research project (2020-2025) focuses on regularity theory for viscosity solutions of fully nonlinear equations and applications. His work bridges pure mathematical analysis with applications in physics and engineering, demonstrating the power of viscosity solution methods in handling complex nonlinear phenomena.
