𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Global nonexistence for an integro-differential equation

✍ Scribed by Shun-Tang Wu; Ching-Yan Lin

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
204 KB
Volume
35
Category
Article
ISSN
0170-4214

No coin nor oath required. For personal study only.

✦ Synopsis

The initial boundary value problem for an integro‐differential equation with nonlinear damping and source terms in a bounded domain is considered. By modifying the method in a work by Autuori et al. in 2010, we establish the nonexistence result of global solutions with the initial energy controlled by a critical value. This improves earlier results in the literatures. Copyright Β© 2011 John Wiley & Sons, Ltd.

πŸ“œ SIMILAR VOLUMES

Regularity theory for fully nonlinear in
Regularity theory for fully nonlinear integro-differential equations
✍ Luis Caffarelli; Luis Silvestre πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 312 KB

## Abstract We consider nonlinear integro‐differential equations like the ones that arise from stochastic control problems with purely jump LΓ©vy processes. We obtain a nonlocal version of the ABP estimate, Harnack inequality, and interior __C__^1, Ξ±^ regularity for general fully nonlinear integro‐d

Explicit stability conditions for integr
Explicit stability conditions for integro-differential equations with periodic coefficients
✍ Aleksey Drozdov πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 274 KB πŸ‘ 1 views

## Communicated by G. F. Roach New explicit stability conditions are derived for a linear integro-differential equation with periodic operator coefficients. The equation under consideration describes oscillations of thin-walled viscoelastic structural members driven by periodic loads. To develop s