| Title:
|
On some singular systems of parabolic functional equations (English) |
| Author:
|
Simon, László |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
135 |
| Issue:
|
2 |
| Year:
|
2010 |
| Pages:
|
123-132 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We will prove existence of weak solutions of a system, containing non-local terms $u$, $w$. \endabstract (English) |
| Keyword:
|
parabolic functional equation |
| Keyword:
|
singular system |
| Keyword:
|
monotone type operator |
| MSC:
|
35R10 |
| idZBL:
|
Zbl 1224.35414 |
| idMR:
|
MR2723079 |
| DOI:
|
10.21136/MB.2010.140689 |
| . |
| Date available:
|
2010-07-20T18:29:31Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140689 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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[3] Berkovits, J., Mustonen, V.: Topological degreee for perturbations of linear maximal monotone mappings and applications to a class of parabolic problems.Rend. Mat. Appl. VII. 12 (1992), 597-621. MR 1205967 |
| Reference:
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| Reference:
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[5] Hu, Bei, Zhang, Jianhua: Global existence for a class of non-Fickian polymer-penetrant systems.J. Part. Diff. Eq. 9 (1996), 193-208. MR 1413446 |
| Reference:
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| Reference:
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[7] Merkin, J. H., Needham, D. J., Sleeman, B. D.: A mathematical model for the spread of morphogens with density dependent chemosensitivity.Nonlinearity 18 (2005), 2745-2773. Zbl 1078.92010, MR 2176957, 10.1088/0951-7715/18/6/018 |
| Reference:
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[8] Rivière, B., Shaw, S.: Discontinuous Galerkin finite element approximation of nonlinear non-Fickian diffusion in viscoelastic polymers.SIAM J. Numer. Anal. 44 (2006), 2650-2670. Zbl 1135.65036, MR 2272610, 10.1137/05064480X |
| Reference:
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[9] Simon, L., Jäger, W.: On non-uniformly parabolic functional differential equations.Stud. Sci. Math. Hung. 45 (2008), 285-300. Zbl 1174.35054, MR 2417974 |
| Reference:
|
[10] Simon, L.: Application of monotone type operators to parabolic and functional parabolic PDE's.Handbook of Differential Equations. Evolutionary Equations, Vol. 4, Elsevier (2008), 267-321. MR 2508168, 10.1016/S1874-5717(08)00006-6 |
| Reference:
|
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| . |
