On the regularity of the solution for the second initial boundary value problem for hyperbolic systems in domains with conical points

Author:

Hung Nguyen Manh,Anh Nguyen Thanh,Chuc Phung Kim

Abstract

Abstract In this paper, we deal with the second initial boundary value problem for higher order hyperbolic systems in domains with conical points. We establish several results on the well-posedness and the regularity of solutions.

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

Reference13 articles.

1. Kondrat'ev VA, Oleinik OA: Boundary value problems for partial differential equations in nonsmooth domains. Usp Math Nauka 1983, 38(2):1-86.

2. Kozlov VA, Maz'ya VG, Rossmann J: Elliptic Boundary Problems in Domains With Point Singularities, Mathematical Surveys and Monographs vol. 85. American Mathematical Society, Providence, Rhode Island 1997.

3. Hung NM: Asymptotic behaviour of solutions of the first boundary-value problem for strongly hyperbolic systems near a conical point at the boundary of the domain. Math Sb 1999, 190(7):103-126. (in Russian). Trans. in Sb. Math. 190(78), 1035-1058 (1999)

4. Hung NM, Kim BT: On the solvability of the first mixed problem for strongly hyperbolic system in infinite nonsmooth cylinders. Taiwanese J Math 2008, 12(9):2601-2618.

5. Hung NM, Yao JC: Cauchy-Dirichlet problem for second-order hyperbolic equations in cylinder with non-smooth base. Nonlinear Anal TMA 2009, 70: 741-756. 10.1016/j.na.2008.01.007

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