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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.00198 |
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| _version_ | 1866910284915933184 |
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| author | Brauner, Claude-Michel Dong, Yuchao Liang, Jin Lorenzi, Luca |
| author_facet | Brauner, Claude-Michel Dong, Yuchao Liang, Jin Lorenzi, Luca |
| contents | In this paper, we study the stability of traveling wave solutions arising from a credit rating migration problem with a free boundary, After some transformations, we turn the Free Boundary Problem into a fully nonlinear parabolic problem on a fixed domain and establish a rigorous stability analysis of the equilibrium in an exponentially weighted function space. It implies the convergence of the discounted value of bonds that stands as an attenuated traveling wave solution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_00198 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Stability of traveling wave solutions in a credit rating migration Free Boundary Problem Brauner, Claude-Michel Dong, Yuchao Liang, Jin Lorenzi, Luca Analysis of PDEs Primary: 35R35, 35B25, Secondary: 35C07, 91G20 In this paper, we study the stability of traveling wave solutions arising from a credit rating migration problem with a free boundary, After some transformations, we turn the Free Boundary Problem into a fully nonlinear parabolic problem on a fixed domain and establish a rigorous stability analysis of the equilibrium in an exponentially weighted function space. It implies the convergence of the discounted value of bonds that stands as an attenuated traveling wave solution. |
| title | Stability of traveling wave solutions in a credit rating migration Free Boundary Problem |
| topic | Analysis of PDEs Primary: 35R35, 35B25, Secondary: 35C07, 91G20 |
| url | https://arxiv.org/abs/2401.00198 |