| 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 postprint |
| URI: | 2-s2.0-85068441740 http://hdl.handle.net/11025/35574 |
| 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) OBD |
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