H\" older Continuity of the Gradient of Solutions to Doubly Non-Linear Parabolic Equations
This paper is devoted to studying the local behavior of non-negative weak solutions to the
doubly non-linear parabolic equation\begin {equation*}\partial_t u^ q-\text {div}\big (| D u|^{p …
doubly non-linear parabolic equation\begin {equation*}\partial_t u^ q-\text {div}\big (| D u|^{p …
[HTML][HTML] Gradient Hölder regularity for degenerate parabolic systems
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[HTML][HTML] Gradient bounds for strongly singular or degenerate parabolic systems
P Ambrosio, F Bäuerlein - Journal of Differential Equations, 2024 - Elsevier
We consider weak solutions u: Ω T→ RN to parabolic systems of the type ut− div A (x, t, D
u)= f in Ω T= Ω×(0, T), where Ω is a bounded open subset of R n for n≥ 2, T> 0 and the …
u)= f in Ω T= Ω×(0, T), where Ω is a bounded open subset of R n for n≥ 2, T> 0 and the …
Continuity of a spatial gradient of a weak solution to a very singular parabolic equation involving anisotropic diffusivity
S Tsubouchi - arXiv preprint arXiv:2306.06868, 2023 - arxiv.org
We consider weak solutions to very singular parabolic equations involving both one-Laplace-
type operators, which have anisotropic diffusivity, and $ p $-Laplace-type operators with …
type operators, which have anisotropic diffusivity, and $ p $-Laplace-type operators with …