A priori bounds for solutions of parabolic problems and applications
Quittner, Pavol
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Quittner, Pavol
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Pavol Quittner (2001)
Mathematica Bohemica
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In this survey we consider superlinear parabolic problems which possess both blowing-up and global solutions and we study a priori estimates of global solutions.
Quittner, Pavol (1998)
Archivum Mathematicum
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Rossi, J.D. (1998)
Acta Mathematica Universitatis Comenianae. New Series
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Marras, M. (2011)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 35K55, 35K60. We investigate the blow-up of the solutions to a nonlinear parabolic system with Robin boundary conditions and time dependent coefficients. We derive sufficient conditions on the nonlinearities and the initial data in order to obtain explicit lower and upper bounds for the blow up time t*.