| Title:
|
On some properties of solutions of quasilinear degenerate parabolic equations in $\mathbb R^m \times (0, + \infty )$ (English) |
| Author:
|
Bonafede, Salvatore |
| Author:
|
Nicolosi, Francesco |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
129 |
| Issue:
|
2 |
| Year:
|
2004 |
| Pages:
|
113-123 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study the asymptotic behaviour near infinity of the weak solutions of the Cauchy-problem. (English) |
| Keyword:
|
weak subsolution |
| Keyword:
|
degenerate equation |
| Keyword:
|
unbounded domain |
| Keyword:
|
asymptotic behaviour |
| MSC:
|
35B40 |
| MSC:
|
35K55 |
| MSC:
|
35K65 |
| idZBL:
|
Zbl 1115.35071 |
| idMR:
|
MR2073508 |
| DOI:
|
10.21136/MB.2004.133902 |
| . |
| Date available:
|
2009-09-24T22:13:19Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/133902 |
| . |
| Reference:
|
[1] Adams R. A.: Sobolev Spaces.Academic Press, New York, 1975. Zbl 0314.46030, MR 0450957 |
| Reference:
|
[2] Bonafede S., Nicolosi F.: Control of essential supremum of solutions of quasilinear degenerate parabolic equations.Appl. Anal. 79 (2001), 405–418. MR 1880951, 10.1080/00036810108840970 |
| Reference:
|
[3] Bonafede S., Nicolosi F.: Quasilinear degenerate parabolic equations in unbounded domains.Comm. Appl. Anal. 8 (2004), 109–124. MR 2036607 |
| Reference:
|
[4] Guglielmino F., Nicolosi F.: Existence results for boundary value problems for a class of quasilinear parabolic equations.Actual problems in analysis and mathematical physics. Proceedings of the interntional symposium, Taormina, Italy, 1992, Dipartimento di Matematica, Università di Roma, pp. 95–117. (Italian) |
| Reference:
|
[5] Kondratiev V., Nicolosi F.: On some properties of the solutions of quasilinear degenerate elliptic equations.Math. Nachr. 182 (1996), 243–260. MR 1419896, 10.1002/mana.19961820111 |
| Reference:
|
[6] Kondratiev V., Véron, L.: Asymptotic behaviour of solutions of some nonlinear parabolic or elliptic equations.Asymptotic Anal. 14 (1997), 117–156. MR 1451209, 10.3233/ASY-1997-14202 |
| Reference:
|
[7] Ladyzenskaja O. A., Solonnikov V. A., Ural’tseva N. N.: Linear and quasi-linear equations of parabolic type.Translation of mathematical monographs, vol. 23, A.M.S., Providence, 1968. |
| Reference:
|
[8] Lions J. L.: Sur certains équations paraboliques non linéaires.Bull. Soc. Math. Fr. 93 (1965), 155–175. MR 0194760, 10.24033/bsmf.1620 |
| Reference:
|
[9] Nicolosi F.: Weak solutions of boundary value problems for parabolic operators that may degenerate.Annali di Matematica 125 (1980), 135–155. MR 0605207 |
| Reference:
|
[10] Nicolosi F.: Boundary value problems for second-order linear degenerate parabolic operators.Le Matematiche 37 (1982), 319–327. MR 0847836 |
| Reference:
|
[11] Nicolosi F., Skrypnik I. V.: On existence and boundedness degenerate quasilinear parabolic equations of higher order.Dopov. Akad. Nauk. Ukr. 1 (1997), 17–21. MR 1490697 |
| Reference:
|
[12] Nicolosi F., Skrypnik I. V.: Hölder continuity of solutions for higher order degenerate nonlinear parabolic equations.Annali di Matematica 175 (1998), 1–27. MR 1748214, 10.1007/BF01783674 |
| . |
