Soliton resolution for the energy-critical nonlinear heat equation in the radial case
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866918345452814336 |
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| author | Aryan, Shrey |
| author_facet | Aryan, Shrey |
| contents | We establish the Soliton Resolution Conjecture for the radial critical non-linear heat equation in dimension $D\geq 3.$ Thus, every finite energy solution resolves, continuously in time, into a finite superposition of asymptotically decoupled copies of the ground state and free radiation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_06005 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Soliton resolution for the energy-critical nonlinear heat equation in the radial case Aryan, Shrey Analysis of PDEs We establish the Soliton Resolution Conjecture for the radial critical non-linear heat equation in dimension $D\geq 3.$ Thus, every finite energy solution resolves, continuously in time, into a finite superposition of asymptotically decoupled copies of the ground state and free radiation. |
| title | Soliton resolution for the energy-critical nonlinear heat equation in the radial case |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2405.06005 |