On the local integrability and boundedness of solutions to quasilinear parabolic systems.
Giorgi, Tiziana, O'Leary, Mike (2004)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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On the local integrability and boundedness of solutions to quasilinear parabolic systems.
Regularity for entropy solutions of a class of parabolic equations with irregular data
Fengquan Li (2007)
Commentationes Mathematicae Universitatis Carolinae
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Using as a main tool the time-regularizing convolution operator introduced by R. Landes, we obtain regularity results for entropy solutions of a class of parabolic equations with irregular data. The results are obtained in a very general setting and include known previous results.
The a priori estimate of the maximum modulus to solutions of doubly nonlinear parabolic equations
Xi Ting Liang, Wu Zaide (1997)
Commentationes Mathematicae Universitatis Carolinae
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The a priori estimate of the maximum modulus of the generalized solution is established for a doubly nonlinear parabolic equation with special structural conditions.