✦ LIBER ✦

A global nonexistence theorem for viscoelastic equations with arbitrary positive initial energy

✍ Scribed by Yanjin Wang

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 417 KB
Volume: 22
Category: Article
ISSN: 0893-9659
DOI: 10.1016/j.aml.2009.01.052

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✦ Synopsis

In this letter we consider the nonlinear viscoelastic equation

with Dirichlet boundary conditions. Under some appropriate assumptions on g and the initial data, a blow-up result with arbitrary positive initial energy is established for 1 < p < n n-2 (if n = 1, 2, then 1 < p < ∞).

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