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The Hölder interpolative gap bound for degenerate parabolic double phase problems

Oh, Jehan
arXiv (All) · Papers
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35k55analysis-of-pdes
We study weak solutions to degenerate parabolic double phase equations with growth exponents $2\le p<q$ and a modulating coefficient that is Hölder continuous with exponent $α$. If the solution itself is Hölder continuous with exponent $γ$, we prove higher integrability of its gradient under the gap
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