Absence of the Lavrentiev phenomenon for degenerate parabolic double phase problems
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866912967033880576 |
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| author | Kim, Bogi Kim, Youngchae Oh, Jehan |
| author_facet | Kim, Bogi Kim, Youngchae Oh, Jehan |
| contents | We establish the absence of the Lavrentiev phenomenon for degenerate parabolic double phase problems. Any finite-energy function in the natural parabolic class admits smooth approximations with convergence in the parabolic Sobolev space and convergence of the corresponding energy. We provide explicit gap bound conditions and derive improved bounds under additional assumptions such as boundedness or stronger time regularity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_14235 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Absence of the Lavrentiev phenomenon for degenerate parabolic double phase problems Kim, Bogi Kim, Youngchae Oh, Jehan Analysis of PDEs Functional Analysis Primary 49N60, Secondary 35K55, 35K65 We establish the absence of the Lavrentiev phenomenon for degenerate parabolic double phase problems. Any finite-energy function in the natural parabolic class admits smooth approximations with convergence in the parabolic Sobolev space and convergence of the corresponding energy. We provide explicit gap bound conditions and derive improved bounds under additional assumptions such as boundedness or stronger time regularity. |
| title | Absence of the Lavrentiev phenomenon for degenerate parabolic double phase problems |
| topic | Analysis of PDEs Functional Analysis Primary 49N60, Secondary 35K55, 35K65 |
| url | https://arxiv.org/abs/2603.14235 |