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Large-time Asymptotics for One-dimensional DirichletProblems for Hamilton-Jacobi Equations withNoncoercive Hamiltonians

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/84120

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
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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