Phùng Kim Chức *

* Tác giả liên hệ (pkchuc@ctu.edu.vn)

Abstract

In this paper, we study the second initial boundary value problem for hyperbolic equations   in cylinders with nonsmooth bases. We present the results of the unique solvability of generalized solution of the problem.
Keywords: Second initial boundary value problem, generalized solution, cylinders with nonsmooth bases

Tóm tắt

Trong bài báo này, chúng tôi nghiên cứu về Bài toán biên ban đầu thứ hai đối với phương trình hyperbolic trong hình trụ với đáy không trơn. Bài báo trình bày kết quả về sự tồn tại duy nhất nghiệm suy rộng của bài toán.
Từ khóa: Bài toán biên ban đầu thứ hai, Nghiệm suy rộng, Hình trụ đáy không trơn

Article Details

Tài liệu tham khảo

Nguyen Manh Hung and Phung Kim Chuc (2014), " Asymptotic of solutions for second IBVP for hyperbolic systems in non-smooth domains ".Vol. 93, No. 5,

pp. 1010-1035. Applicable Analysis 2014.

Nguyen Manh Hung and Phung Kim Chuc (2012), " On the smoothness of the solution for the initial - Neumann problem for hyperbolic systems in Lipschitz cylinders ". Vol. 16, No. 5,pp. 1629-1645,October 2012.; Taiwanese Journal of Mathematics.

Nguyen Manh Hung, Nguyen Thanh Anh and Phung Kim Chuc (2011), " On the regularity of the solution for the second initial boundary value problem for hyperbolic systems in domains with conical points", Boundary Value Problems, (doi:10.1186/1687-2770-2011-17) .

Nguyen Manh Hung and Phung Kim Chuc (2010), " The smoothness with respect to time variable of the solution for the second innitial boundary problem for hyperbolic systems in infinite cylinders with non-smooth base ". Vol 5. Number 2. 2010, pp. 117-134. International Journal of Evolution Equations.

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