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Integral Inequalities and Global Solutions of Semilinear Evolution Equations |
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| Authors: | Milan Medved? |
| Affiliation: | Department of Mathematical Analysis, Faculty of Mathematics, Physics and Informatics, Comenius University, Mlynská dolina, 842 48, Bratislava, Slovakiaf1medved@fmph.uniba.skf1 |
| Abstract: | 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. |
| Keywords: | parabolic equation global solution singular integral inequality |
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