Research
My research subjects are the viscosity solution theory and its
applications.
In 1983, M. G. Crandall and P.-L. Lions introduced the new notion
of weak solutions of nonlinear partial differential equations,
which is called ``viscosity solutions''.
Afterwards, it has turned out that the theory can be applied to
a large number of applications such as control theory, game theory,
mean curvature motion, phase transition, image process, etc. etc.
Key words of my recent (and/or future) interests are as follows:
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1 : Lp viscosity solutions
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2 : Loo Laplacian problems
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3 : Regularity of viscosity solutions arising in mathematical finance
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4 : ``Potential theory'' for viscosity solutions
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5 : Subelliptic operators
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etc....
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List of papers
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Vitae
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Miscellaneous News
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A speech in the wedding ceremony by a Kabuki actor
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New Photos !
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S. Koike's Home Page