Title: The strong comparison principle in parabolic problems with the p-Laplacian in a domain
Authors: Benedikt, Jiří
Girg, Petr
Kotrla, Lukáš
Takáč, Peter
Citation: BENEDIKT, J., GIRG, P., KOTRLA, L., TAKÁČ, P. The strong comparison principle in parabolic problems with the p-Laplacian in a domain. Applied mathematics letters, 2019, roč. 98, č. DEC 2019, s. 365-373. ISSN 0893-9659.
Issue Date: 2019
Publisher: Elsevier
Document type: postprint
URI: 2-s2.0-85068441740
ISSN: 0893-9659
Keywords in different language: Quasilinear parabolic equation;Degenerate p-Laplacian;Examples and counterexamples to strong comparison principle;Hopf’s boundary point lemma
Abstract in different language: We investigate some strong comparison principles for nonnegative solutions to several parabolic problems with the p-Laplace operator in one space dimension. We focus on the special case of comparing a stationary (i.e., time-independent) solution with a time-dependent solution. We take advantage of some special properties of stationary solutions that, in general, might not hold for time-dependent solutions.
Rights: Plný text není přístupný.
© Elsevier
Appears in Collections:Postprinty / Postprints (KMA)

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