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Large-time Asymptotics for One-dimensional DirichletProblems for Hamilton-Jacobi Equations withNoncoercive Hamiltonians
Title: | Large-time Asymptotics for One-dimensional DirichletProblems for Hamilton-Jacobi Equations withNoncoercive Hamiltonians |
Authors: | Yoshikazu, Giga Browse this author | Qing, Liu Browse this author | Hiroyoshi, Mitake Browse this author |
Keywords: | Large-time Behavior | Boundary Value Problems | Noncoercive Hamilton-Jacobi Equations | Viscosity Solution |
Issue Date: | 20-Jan-2011 |
Publisher: | Department of Mathematics, Hokkaido University |
Journal Title: | Hokkaido University Preprint Series in Mathematics |
Volume: | 973 |
Start Page: | 2 |
End Page: | 30 |
Abstract: | We study large-time asymptotics for a class of noncoercive Hamilton-Jacobi equations with Dirichlet boundary condition in one space dimension. We prove that the average growth rate of a solution is constant only in a subset of the whole domain and give the asymptotic pro¯le in the subset. We show that the large-time behavior for noncoercive problems may depend on the space variable in general, which is di®erent from the usual results under the coercivity condition. This work is an extension with more rigorous analysis of a recent paper by E. Yokoyama, Y. Giga and P. Rybka, in which a growing crystal model is established and the asymptotic behavior described above is first discovered. |
Type: | bulletin (article) |
URI: | http://hdl.handle.net/2115/69780 |
Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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