Instantaneous regularisation via Harnack-type methods for a degenerate non-local equation VN8087G2FC

URI	`m2://res/VN8087G2FC`
Kind	preprint
Creators	Simon M. Schulz
Date	2026-10-06
MSC	35-XX
Subjects	arxiv math.AP
Scope	in

Expressions

e1: version, preprint

Language	en
Date	2026-10-06
Ids	arXiv 2610.08434, zbl_id 903200980

Items in this resource

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

Item	Kind	Where	Source
Propagation of boundedness away from $\{\rho=1\}$	statement	lemma 7.4	arxiv
$f$ is locally bounded	statement	proposition 8.1	arxiv
$H^1$ estimate for $\p$, $L^4$ bound on $\nabla \rho$	statement	lemma 8.2	arxiv
75EMR22RRX	statement	corollary 7.3	arxiv
Gehring-type Lemma	statement	lemma 2.9	arxiv
A4CF35VKTQ	statement	corollary 8.13	arxiv
$H^2$ estimate for $f$	statement	lemma 8.10	arxiv
$\dot{\rho}$ equation	statement	lemma 8.11	arxiv
Weak solution	definition	definition 2.2	arxiv
$H^1$ estimate for $\P$	statement	lemma 8.3	arxiv
$L^\infty$ bound $(u+\varepsilon)^{-1}$	statement	lemma 5.1	arxiv
EFE1J3N7T9	statement	corollary 8.7	arxiv
Super-/sub-level set estimate of the logarithm	statement	lemma 6.1	arxiv
Harnack estimate for small times	statement	lemma 7.2	arxiv
Schauder estimate: H\"older spaces	statement	lemma 2.8	arxiv
Higher integrability $\partial_t f, \nabla^2_\xi f$	statement	proposition 8.9	arxiv
Schauder estimate: Sobolev spaces	statement	lemma 2.7	arxiv
Bombieri--Giusti Lemma	statement	lemma 4.1	arxiv
Quantitative instantaneous non-degeneracy	statement	proposition 7.1	arxiv
Interior non-degeneracy and smoothness of weak solutions	statement	theorem 1	arxiv
$L^\infty$ bound $u+\varepsilon$	statement	lemma 5.2	arxiv
Galerkin scheme $\p$	statement	proposition 8.5	arxiv
RWTT7T24S1	statement	corollary 8.4	arxiv
Quantitative iteration lemma	statement	lemma 7.5	arxiv
T3KHCNPFAK	statement	corollary 8.15	arxiv
W6NH6306GF	statement	corollary 8.6	arxiv
H\"older continuity of $\nabla f$	statement	lemma 8.16	arxiv
$f$ belongs to the parabolic space	statement	lemma 8.8	arxiv
$H^2$ estimate for $\dot\p$	statement	lemma 8.14	arxiv
\S 1 Proposition 3.2	statement	lemma 2.6	arxiv
Function space $X$	definition	definition 2.1	arxiv
$\dot{f}$ equation	statement	lemma 8.12	arxiv

Catalogue records

arxiv: 2610.08434 (work)
arxiv_text: 2610.08434 (work)
zbmath_search: 903200980 (work)