Homogenization and penalization of functional first-order PDE |
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Authors: | Kazufumi Shimano |
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Institution: | (1) Graduate School of Mathematical Science, The University of Tokyo, 3-8-1 Komaba, Meguro, Tokyo 153-8914, Japan |
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Abstract: | In this paper we study the asymptotic behavior of viscosity solutions for a functional partial differential equation with
a small parameter as the parameter tends to zero. We study simultaneous effects of homogenization and penalization in functional
first-order PDE. We establish a convergence theorem in which the limit equation is identified with some first order PDE. |
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Keywords: | 35B15 35B27 35F20 49L25 |
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