Hyperbolic boundary value problem with equivalued surface on a domain with thin layer

Fengquan Li; Weiwei Sun

Applications of Mathematics (2009)

  • Volume: 54, Issue: 4, page 351-375
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Li, Fengquan, and Sun, Weiwei. "Hyperbolic boundary value problem with equivalued surface on a domain with thin layer." Applications of Mathematics 54.4 (2009): 351-375. <http://eudml.org/doc/37825>.

@article{Li2009,
abstract = {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.},
author = {Li, Fengquan, Sun, Weiwei},
journal = {Applications of Mathematics},
keywords = {limit behavior of solutions; existence; uniqueness; equivalued surface; equivalued interface; hyperbolic equation; limit behavior of solutions; existence; uniqueness; equivalued surface; equivalued interface; hyperbolic equation},
language = {eng},
number = {4},
pages = {351-375},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Hyperbolic boundary value problem with equivalued surface on a domain with thin layer},
url = {http://eudml.org/doc/37825},
volume = {54},
year = {2009},
}

TY - JOUR
AU - Li, Fengquan
AU - Sun, Weiwei
TI - Hyperbolic boundary value problem with equivalued surface on a domain with thin layer
JO - Applications of Mathematics
PY - 2009
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 54
IS - 4
SP - 351
EP - 375
AB - 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.
LA - eng
KW - limit behavior of solutions; existence; uniqueness; equivalued surface; equivalued interface; hyperbolic equation; limit behavior of solutions; existence; uniqueness; equivalued surface; equivalued interface; hyperbolic equation
UR - http://eudml.org/doc/37825
ER -

References

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  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). (1998) MR1638883
  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. (1999) Zbl0936.35053MR1718640
  12. Lions, J.-L., Quelques Méthodes de Résolution des Problèmes aux Limites Non Linéaires, Dunod & Gauthier-Villars Paris (1969), French. (1969) Zbl0189.40603MR0259693
  13. Lions, J.-L., Magenes, E., Non-Homogeneous Boudary Value Problems and Applications, Vol. II, Springer Berlin (1972). (1972) MR0350178
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  15. Zhang, H., Wang, X., Zhang, B., Sound Waves and Acoustic Fields in Boreholes, Science Press Beijing (2004), Chinese. (2004) 

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