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Integral Inequalities and Global Solutions of Semilinear Evolution Equations

✍ Scribed by Milan Medved̆

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
86 KB
Volume
267
Category
Article
ISSN
0022-247X

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✦ Synopsis

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.

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