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Fingerprint Dive into the research topics where Shigeaki Koike is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

Viscosity Solutions Mathematics
Fully Nonlinear Mathematics
Viscosity Engineering & Materials Science
Elliptic Partial Differential Equations Mathematics
Elliptic PDE Mathematics
Unbounded Coefficients Mathematics
Comparison Principle Mathematics
Maximum principle Engineering & Materials Science

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Research Output 1986 2019

  • 311 Citations
  • 10 h-Index
  • 29 Article
  • 1 Conference contribution

On Lp -viscosity solutions of bilateral obstacle problems with unbounded ingredients

Koike, S. & Tateyama, S., 2019 Jan 1, In : Mathematische Annalen.

Research output: Contribution to journalArticle

Obstacle Problem
Viscosity Solutions
Equicontinuity
Estimate
Derivative
1 Citation (Scopus)

Weak Harnack inequality for fully nonlinear uniformly parabolic equations with unbounded ingredients and applications

Koike, S., Święch, A. & Tateyama, S., 2019 Aug 1, In : Nonlinear Analysis, Theory, Methods and Applications. 185, p. 264-289 26 p.

Research output: Contribution to journalArticle

Harnack Inequality
Fully Nonlinear
Parabolic Equation
Viscosity
Supersolution

On the rate of convergence of solutions in free boundary problems via penalization

Koike, S., Kosugi, T. & Naito, M., 2018 Jan 1, In : Journal of Mathematical Analysis and Applications. 457, 1, p. 436-460 25 p.

Research output: Contribution to journalArticle

Adjoint Method
Convergence of Solutions
Penalization
Free Boundary Problem
Rate of Convergence

Maximum principle for Pucci equations with sublinear growth in Du and its applications

Koike, S. & Kosugi, T., 2017 Sep 1, In : Nonlinear Analysis, Theory, Methods and Applications. 160, p. 1-15 15 p.

Research output: Contribution to journalArticle

Maximum principle
Viscosity Solutions
Maximum Principle
Strong Maximum Principle
Harnack Inequality

Remarks on viscosity solutions for mean curvature flow with obstacles

Ishii, K., Kamata, H. & Koike, S., 2017 Jan 1, Mathematics for Nonlinear Phenomena—Analysis and Computation - In Honor of Yoshikazu Giga’s 60th Birthday. Maekawa, Y. & Jimbo, S. (eds.). Springer New York LLC, p. 83-103 21 p. (Springer Proceedings in Mathematics and Statistics; vol. 215).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Mean Curvature Flow
Obstacle Problem
Comparison Principle
Viscosity Solutions
Lipschitz