Publication Cover
Applicable Analysis
An International Journal
Volume 93, 2014 - Issue 5
36
Views
1
CrossRef citations to date
0
Altmetric
Articles

Asymptotic of solutions for second IBVP for hyperbolic systems in non-smooth domains

&
Pages 1010-1035 | Received 12 May 2010, Accepted 14 Jun 2013, Published online: 01 Aug 2013

References

  • Kondratiev VA. Boundary value problems for elliptic equations in domains with conical or anglar points. (Russian). Trudy Moskovskogo Matematicheskogo Obshchestva T. 1967;16:209–292.
  • Maz’ya VG, Kozlov VA, Rossmann J. Elliptic boundary value problem in domains with point singularities. Mathematical Surveys and Monographs 52. Provodence (RI): American Mathematical Society; 1997.
  • Mazya VG, Plamenevsky BA. On the coefficients in the asymptotic of solutions to the elliptic boundary value problems in domains with conical points. Mathematische Nachrichten. 1977;76:29–60.
  • Manh Hung N. Asymptotic behaviour of solutions of the first buondary-value problem for strongly hyperbolic systems near a conical point at the boundary of the domain. (Russian. Russian summary). Mathematics Sbornik. 1999;19:103–126; translation in, Sbornik: Mathematics. 1999;190(7–8):1035–1058.
  • Manh Hung N, Thanh Anh N. Regularity of solutions of initial-boundary value problems for parabolc equations in domains with conical points. Journal of Differential Equations. 2008;245(7):1801–1818.
  • Manh Hung N, Yao JC. On the asymptotics of solutions of the first initial boundary value problem for hyperbolic systems in infinite cylinders with base containing conical points. Nonlinear Analysis, Theory, Methods and Applications. In Press, Corrected Proof. Available online 2008 Dec 25. doi:10.1016/j.na.12.056.
  • Manh Hung N, Kim Son N. On the existence and smoothness with respect to time variable of solution of the second initial boundary value problem for Schrödinger systems in cylinder with non-smooth base. Electronic Journal of Differential Equations. 2008;2008(35):1–12.
  • Manh Hung N, Kim Son N. On the regularity of solution of the second initial boundary value problem for Schrödinger systems in domain with conical points. Taiwanese Journal of Mathematics. 2009;13(6):1885–1907.
  • Kokatov A, Plamenevssky BA. On the asymptotic on solutions to the Neumann problem for hyperbolic systems in domain with conical point. English Translation, St. Peterburg Mathematics. 2005;16(3):477–506.
  • Nirengberg L. Remarks on strongly elliptic partial differential equations. Communictions on Pure and Applied Mathematics. 1955;8:648–674.
  • Nazrov SA, Plamenevsky BA. Elliptic problems in domains with piecewise-smooth boundary. Moscow: Nauka; 1990.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.