Computer Science Program

Yasuo CHIBA

Name

Yasuo CHIBA

Department/Research Field

CS/Partial Differential Equations


Research content
My research subject is analysis of partial differential equations of hyperbolic type with irregular singularities. Such equations have asymptotic solutions, which do not converge, in general. However, we construct microlocal solutions for weakly hyperbolic equations. The singularities of the solutions are in one of the characteristic roots of the hyperbolic operators. I study a relationship between these microlocal solutions and integral representation of solutions. Computational analysis for differential equations is also my subject.
Research theme

1. Partial differential equations
2. hyperfunctions
3. computational analysis

Research keywords
microlocal analysis , asymptotic analysis , algebraic analysis
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