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Global Nonexistence Theorems for a Class of Evolution Equations with Dissipation

โœ Scribed by Enzo Vitillaro

Publisher
Springer
Year
1999
Tongue
English
Weight
199 KB
Volume
149
Category
Article
ISSN
0003-9527

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๐Ÿ“œ SIMILAR VOLUMES

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

Global nonexistence of solutions with po
Global nonexistence of solutions with positive initial energy for a class of wave equations
โœ Wenjun Liu; Mingxin Wang ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 111 KB

## Abstract In this study, we consider a class of wave equations with strong damping and source terms associated with initial and Dirichlet boundary conditions. We establish a blow up result for certain solutions with nonpositive initial energy as well as positive initial energy. This further impro