Exact $L^2$-growth profiles for the free wave equation: Sharp constants, critical regularity, and local energy decay V60MVF3KQ1

URI	`m2://res/V60MVF3KQ1`
Kind	preprint
Creators	Vishvesh Kumar, Mohamed Majdoub
Date	2026-10-10
MSC	35-XX
Subjects	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
Local energy decay with explicit constant, $N=2$	statement	theorem 1.9	arxiv
Gaussian velocity in $\R^2$: the logarithmic regime to second order	example	example 6.5	arxiv
Second order without moments	problem	problem 8.1	arxiv
48A9MFFMM0	statement	lemma 2.1	arxiv
Exact first-order profiles	statement	theorem 1.5	arxiv
9NA8FJX2BT	problem	problem 1.1	arxiv
Poisson velocity in $\R$: $L^1$ but not $L^{1,1}$	example	example 6.3	arxiv
Exterior domains	problem	problem 8.5	arxiv
Second-order expansion, $N=1$	statement	theorem 1.7	arxiv
Logarithmic lemma, second order	statement	lemma 2.4	arxiv
Boundedness dichotomy	statement	theorem 1.4	arxiv
Gaussian velocity in $\R$	example	example 6.2	arxiv
ENJKMG8R4E	statement	lemma 7.1	arxiv
ERB3MWE5N2	definition	definition	arxiv
FW4179VGTA	problem	problem 1.3	arxiv
The box in $\R$: an exactly solvable case	example	example 6.1	arxiv
Second-order expansion at critical regularity	statement	theorem 1.8	arxiv
Gaussian velocity in $\R^3$: boundedness in $L^2$, blowup in $\dH^{-1/2}$	example	example 6.6	arxiv
KZ96VR5R3B	statement	corollary 1.6	arxiv
Logarithmic lemma, first order	statement	lemma 2.3	arxiv
Optimality of the local energy rate	problem	problem 8.3	arxiv
VF3FPCZFQF	problem	problem 1.2	arxiv
Anomalous rates and regular variation	problem	problem 8.2	arxiv
Other models	problem	problem 8.4	arxiv
W5W3YQJ342	statement	lemma 4.1	arxiv
Vanishing mass in $\R$: the convergent regime	example	example 6.4	arxiv
Y2HKNT2V8Q	statement	lemma 2.2	arxiv
ZCZ0916WC3	statement	lemma 5.1	arxiv