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arXiv · 2603.14235

Absence of the Lavrentiev phenomenon for degenerate parabolic double phase problems

Bogi Kim·Youngchae Kim·Jehan Oh
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Abstract

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.

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Bogi Kim, Youngchae Kim, Jehan Oh. 2026-03-15. Absence of the Lavrentiev phenomenon for degenerate parabolic double phase problems. https://arxiv.org/abs/2603.14235

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