| Budget Amount *help |
¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2017: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
|
|---|
| Outline of Final Research Achievements |
In this research, we studied the criticality theory for a class of nonlinear partial differential equations, called viscous Hamilton-Jacobi equations, by using both probabilistic and PDE theoretic methods. More specifically, we clarified the relationship between “phase transition” phenomena arising in stochastic optimal control and the generalized principal eigenvalue for viscous Hamilton-Jacobi equations. We especially quantified such phase transitions in terms of the space dimensions as well as the intensity of nonlinearity of the equation.
|
