| Title:
|
Hyperbolic boundary value problem with equivalued surface on a domain with thin layer (English) |
| Author:
|
Li, Fengquan |
| Author:
|
Sun, Weiwei |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
54 |
| Issue:
|
4 |
| Year:
|
2009 |
| Pages:
|
351-375 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper deals with a kind of hyperbolic boundary value problems with equivalued surface on a domain with thin layer. Existence and uniqueness of solutions are given, and the limit behavior of solutions is studied in this paper. (English) |
| Keyword:
|
limit behavior of solutions |
| Keyword:
|
existence |
| Keyword:
|
uniqueness |
| Keyword:
|
equivalued surface |
| Keyword:
|
equivalued interface |
| Keyword:
|
hyperbolic equation |
| MSC:
|
35A01 |
| MSC:
|
35A02 |
| MSC:
|
35A05 |
| MSC:
|
35B40 |
| MSC:
|
35L20 |
| idZBL:
|
Zbl 1212.35013 |
| idMR:
|
MR2520835 |
| DOI:
|
10.1007/s10492-009-0022-8 |
| . |
| Date available:
|
2010-07-20T13:13:10Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140370 |
| . |
| Reference:
|
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| Reference:
|
[2] Chen, Y.: Second Order Parabolic Differential Equations.Peking University Press Beijing (2003), Chinese. |
| Reference:
|
[3] Damlamian, A., Ta-tsien Li: Comportements limites des solutions de certains probl\`emes mixtes pour des équations hyperboliques linéaires.Commun. Partial Differ. Equations 7 (1982), 117-139 French. Zbl 0504.35052, MR 0646133, 10.1080/03605308208820219 |
| Reference:
|
[4] DiBenedetto, E.: Degenerate Parabolic Equations.Springer New York (1993). Zbl 0794.35090, MR 1230384 |
| Reference:
|
[5] Evans, L. C.: Partial Differential Equations. Graduate Studies in Math. Vol. 19.AMS, American Mathematical Society Providence (1998). MR 1625845 |
| Reference:
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[6] Ladyzhenskaya, O. A.: The Boundary Value Problems of Mathematical Physics.Springer Berlin (1985). Zbl 0588.35003, MR 0793735 |
| Reference:
|
[7] Li, F.: Limit behaviour of solutions to a class of boundary value problem with equivalued surface for hyperbolic equations.Asymptotic Anal. 22 (2000), 163-176. Zbl 0946.35046, MR 1742533 |
| Reference:
|
[8] Ta-tsien Li et al.: Boundary value problems with equivalued surface boundary conditons for self-adjoint elliptic differential equations I, II.Fudan J., Nat. Sci. 1 (1976), 61-71, 136-145 Chinese. |
| Reference:
|
[9] Ta-tsien Li: A class of non-local boundary value problems for partial differential equations and its applications in numerical analysis.J. Comput. Appl. Math. 28 (1989), 49-62. 10.1016/0377-0427(89)90320-8 |
| Reference:
|
[10] Ta-tsien Li, Song-mu Zheng, Yong-ji Tan, Wei-xi Shen: Boundary Value Problem with Equivalued Surface and Resistivity Well-Logging. Pitman Research Notes in Math. Series 382.Longman Harlow (1998). MR 1638883 |
| Reference:
|
[11] Ta-tsien Li, Yan, J.: Limit behaviour of solutions to certain kinds of boundary value problems with equivalued surface.Asymptotic Anal. 21 (1999), 23-35. Zbl 0936.35053, MR 1718640 |
| Reference:
|
[12] Lions, J.-L.: Quelques Méthodes de Résolution des Problèmes aux Limites Non Linéaires.Dunod & Gauthier-Villars Paris (1969), French. Zbl 0189.40603, MR 0259693 |
| Reference:
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[13] Lions, J.-L., Magenes, E.: Non-Homogeneous Boudary Value Problems and Applications, Vol. II.Springer Berlin (1972). MR 0350178 |
| Reference:
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[14] Zeidler, E.: Nonlinear Functional Analysis and its Applications. II/A: Linear Monotone Operators.Springer New York (1990). Zbl 0684.47028, MR 1033497 |
| Reference:
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| . |
