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On the convergence of global and bounded solutions of some evolution equations

✍ Scribed by A. Haraux; M. A. Jendoubi


Publisher
Springer
Year
2007
Tongue
English
Weight
163 KB
Volume
7
Category
Article
ISSN
1424-3199

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Integral Inequalities and Global Solutio
✍ Milan MedvedΜ† πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 86 KB

A criterion for the nonexplosion of solutions to semilinear evolution equations on Banach spaces is proved. The result is obtained by applying a modification of the Bihari type inequality to the case of a weakly singular nonlinear integral inequality.