Nonlocal conditions for lower semicontinuous parabolic inclusions.
Boucherif, Abdelkader (2011)
Advances in Difference Equations [electronic only]
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Nonlocal conditions for lower semicontinuous parabolic inclusions.
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Blowup analysis for a semilinear parabolic system with nonlocal boundary condition.
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Periodic problems and problems with discontinuities for nonlinear parabolic equations
Tiziana Cardinali, Nikolaos S. Papageorgiou (2000)
Czechoslovak Mathematical Journal
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In this paper we study nonlinear parabolic equations using the method of upper and lower solutions. Using truncation and penalization techniques and results from the theory of operators of monotone type, we prove the existence of a periodic solution between an upper and a lower solution. Then with some monotonicity conditions we prove the existence of extremal solutions in the order interval defined by an upper and a lower solution. Finally we consider problems with discontinuities and...