Math 2.0

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A Viscoelastic Wave Equation with Nonlinear Damping and Supercritical Variable-Exponent Logarithmic Sources G9GEE64N32

URIm2://res/G9GEE64N32
Kindpreprint
CreatorsMenglan Liao, Mingxue Zhang
Date2026-10-11
MSC35-XX
Subjectsarxiv math.AP
Scopein

Expressions

e1: version, preprint

Languageen
Date2026-10-11
IdsarXiv 2610.15528

Items in this resource

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

ItemKindWhereSource
Growth estimates for the logarithmic sourcestatementlemma 3.1arxiv
Global existencestatementtheorem 2.8arxiv
Local existence and continuationstatementtheorem 2.3arxiv
An initial-pairing blow-up criterionstatementtheorem 2.6arxiv
Blow-up for nonpositive shifted energystatementtheorem 2.5arxiv
Integrability of the energystatementlemma 6.4arxiv
8J37E67MM4statementlemma 4.1arxiv
Blow-up data at every energy levelstatementtheorem 2.7arxiv
Energy solutiondefinitiondefinition 2.2arxiv
Constant supercritical damping in three dimensionsstatementcorollary 2.13arxiv
BSG7CSSPDNstatementlemma 4.3arxiv
EDZ2XHRTHWstatementlemma 6.3arxiv
Lipschitz continuity of the truncated sourcestatementlemma 3.2arxiv
HZD853PY04statementlemma 6.2arxiv
PTS80PXZGDstatementlemma 4.2arxiv
Q5CSS6FJ66statementlemma 6.1arxiv
Decay for linear and power relaxationstatementcorollary 2.11arxiv
Decay without an upper Sobolev bound on dampingstatementtheorem 2.12arxiv
Decay with an upper Sobolev bound on dampingstatementtheorem 2.10arxiv

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