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Global Nonexistence Theorems for Quasilinear Evolution Equations with Dissipation

โœ Scribed by Howard A. Levine; James Serrin


Publisher
Springer
Year
1997
Tongue
English
Weight
477 KB
Volume
137
Category
Article
ISSN
0003-9527

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A global nonexistence theorem for viscoe
โœ Yanjin Wang ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 417 KB

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 < โˆž).