Emulating the Darcy Solution Operator by Heat-Semigroup Functional Calculus and Pointwise Products 6HMZ36ZBXA

URI	`m2://res/6HMZ36ZBXA`
Kind	preprint
Creators	Dawid Hanrahan
Date	2026-10-14
MSC	65-XX, 35-XX
Subjects	arxiv math.NA, arxiv cs.NA, arxiv math.AP
Scope	in

Expressions

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

Item	Kind	Where	Source
Inexact preconditioned step	statement	theorem 6.6	arxiv
Consequences of \HR	statement	lemma 2.6	arxiv
59WWHYAN54	statement	theorem A	arxiv
Counts and magnitudes	statement	proposition 4.2	arxiv
Representation	statement	theorem 6.5	arxiv
$\dot H^{-1}$ bound	statement	lemma 6.13	arxiv
Operator networks with functional-calculus layers	definition	definition 1.2	arxiv
Spectral facts	statement	lemma 6.9	arxiv
8SR2J4ASAT	example	example	arxiv
$\Gamma$-consistency	statement	theorem 6.4	arxiv
$\TT^d$ with a $C^2$-type class	statement	corollary 6.8	arxiv
Product defect of a heat layer	statement	lemma 2.10	arxiv
Density	statement	lemma 6.10	arxiv
Inexact preconditioned step in operator norm, without Galerkin truncation	statement	theorem 3.1	arxiv
Counting convention	definition	definition 4.1	arxiv
Laplacian-preconditioned operator $=$ multiplication $+$ smoothing	statement	theorem 2.12	arxiv
Integrated gradient bound	statement	lemma 6.12	arxiv
HQ4RQB39B7	statement	lemma 2.2	arxiv
Emulation of the Darcy solution operator on $\TT^d$	statement	theorem 1.7	arxiv
Emulation on Dirichlet spaces	statement	theorem 6.7	arxiv
Resolvent approximate inverse	statement	lemma 2.9	arxiv
Interpolation identity	statement	lemma 6.11	arxiv
Mixed primitives: five theorem-prescribed scalars	statement	corollary 4.3	arxiv
TF4EF3AA6V	statement	lemma 2.14	arxiv
Band hypothesis	definition	definition 2.5	arxiv
Sinc-quadrature approximate inverse	statement	lemma 2.8	arxiv