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).
and Siltakoski, J.Lipschitz regularity for parabolic double phase equations with gradient nonlinearity
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Viscosity solutions to quasilinear parabolic equations with nonhomogeneous mixed singular-degenerate structure are Lipschitz continuous after translation and have Hölder continuous gradients.
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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).
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Gradient regularity for viscosity solutions to quasilinear parabolic equations with mixed singular-degenerate structure
Viscosity solutions to quasilinear parabolic equations with nonhomogeneous mixed singular-degenerate structure are Lipschitz continuous after translation and have Hölder continuous gradients.