A generalization of the maximum principle to nonlinear parabolic systems

Volume 81 / 2003

Dmitry Portnyagin Annales Polonici Mathematici 81 (2003), 217-236 MSC: Primary 35B50, 35K40, 35K55. DOI: 10.4064/ap81-3-2


A generalization of the well-known weak maximum principle is established for a class of quasilinear strongly coupled parabolic systems with leading terms of $p$-Laplacian type.


  • Dmitry PortnyaginInstitute for Physics of Condensed Matter
    National Academy of Sciences of Ukraine
    1 Svientsitskii St., 79011 Lviv, Ukraine

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