| Title: | On maximum and comparison principles for parabolic problems with the p-Laplacian |
| Authors: | Bobkov, Vladimír Takáč, Peter |
| Citation: | BOBKOV, V., TAKÁČ, P. On maximum and comparison principles for parabolic problems with the p-Laplacian. Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas, 2019, roč. 113, č. 2, s. 1141-1158. ISSN 1578-7303. |
| Issue Date: | 2019 |
| Publisher: | Springer |
| Document type: | postprint preprint postprint preprint |
| URI: | 2-s2.0-85064947052 http://hdl.handle.net/11025/34826 |
| ISSN: | 1578-7303 |
| Keywords in different language: | p-Laplacian;Parabolic equation;Fast diffusion;Slow diffusion;Maximum principle;Comparison principle;Uniqueness |
| Abstract in different language: | We investigate strong and weak versions of maximum and comparison principles for a class of quasilinear parabolic equations with the p-Laplacian ∂tu−Δpu=λ|u|p−2u+f(x,t) under zero boundary and nonnegative initial conditions on a bounded cylindrical domain Ω×(0,T), λ∈R, and f∈L∞(Ω×(0,T)). Several related counterexamples are given. |
| Rights: | © Springer |
| Appears in Collections: | Preprinty / Preprints (NTIS) Postprinty / Postprints (NTIS) OBD |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 1803.09562.pdf | 340,27 kB | Adobe PDF | View/Open | |
| BobkovTakac_SCP_2018_author-copy.pdf | 793,76 kB | Adobe PDF | View/Open |
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