Yawen Feng

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20212024

most citedOn the second order regularity of solutions to the parabolic

p

-Laplace equation

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math.AP2024

Second order Sobolev regularity results for the generalized $p$ -parabolic equation

Yawen Feng, Mikko Parviainen, Saara Sarsa

We study a general class of parabolic equations $u_{t} - ∣ D u ∣^{γ} (Δ u + (p - 2) Δ_{\infty}^{N} u) = 0,$ which can be highly degenerate or singular. This class contains as special cases…

Second order Sobolev regularity results for the generalized p-parabolic equation

Second order Sobolev regularity results for the generalized $p$ -parabolic equation