Proves local higher integrability of |Du| for Hölder continuous weak solutions to the parabolic double phase equation under the gap bound 2 ≤ p ≤ q ≤ p + qκ/(q - 2γ).
Absence of the lavrentiev phenomenon for degenerate parabolic double phase problems.https://arxiv.org/abs/2603.14235, 2026
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Higher integrability for parabolic double phase equations with an improved gap bound
Proves local higher integrability of |Du| for Hölder continuous weak solutions to the parabolic double phase equation under the gap bound 2 ≤ p ≤ q ≤ p + qκ/(q - 2γ).