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Integral Inequalities and Global Solutions of Semilinear Evolution Equations
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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