## Taiwanese Journal of Mathematics

### ON THE REGULARITY OF SOLUTION OF THE SECOND INITIAL BOUNDARY VALUE PROBLEM FOR SCHRÖDINGER SYSTEMS IN DOMAINS WITH CONICAL POINTS

#### Abstract

Some results on the unique solvability and the regularity of solution of the second initial boundary value problem for strongly Schrödinger systems in finite and infinite cylinders with the bases containing conical points are given.

#### Article information

Source
Taiwanese J. Math., Volume 13, Number 6B (2009), 1885-1907.

Dates
First available in Project Euclid: 18 July 2017

https://projecteuclid.org/euclid.twjm/1500405647

Digital Object Identifier
doi:10.11650/twjm/1500405647

Mathematical Reviews number (MathSciNet)
MR2583527

Zentralblatt MATH identifier
1195.35113

Subjects
Primary: 35D05 35D10 35G99: None of the above, but in this section

#### Citation

Hung, Nguyen Manh; Son, Nguyen Thi Kim. ON THE REGULARITY OF SOLUTION OF THE SECOND INITIAL BOUNDARY VALUE PROBLEM FOR SCHRÖDINGER SYSTEMS IN DOMAINS WITH CONICAL POINTS. Taiwanese J. Math. 13 (2009), no. 6B, 1885--1907. doi:10.11650/twjm/1500405647. https://projecteuclid.org/euclid.twjm/1500405647

#### References

• A. Kokotov and B. Plamenevsky, On the asymptotics on solutions to the Neumann problem for hyperbolic systems in domains with conical points, OAlgebra i analiz, 16 (2004) (in Russian), English transl., St. Peterburg Math. J., 16 (2005), N$^\circ$ 3, pp. 477-506.