This paper is concerned with investigating the spatial behavior of solutions for a class of hyperbolic equations in semi-infinite cylindrical domains, where nonlinear dissipative boundary conditions imposed on the lateral surface of the cylinder. The main tool used is the weighted energy method. Mathematics Subject Classification (2010) 35B40, 35L05, 35L35.
机构:
Waseda Univ, Grad Sch Adv Sci & Engn, Shinjuku Ku, 3-4-1 Okubo, Tokyo 1698555, JapanWaseda Univ, Grad Sch Adv Sci & Engn, Shinjuku Ku, 3-4-1 Okubo, Tokyo 1698555, Japan
Kita, Kosuke
Otani, Mitsuharu
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Waseda Univ, Sch Sci & Engn, Dept Appl Phys, Shinjuku Ku, 3-4-1 Okubo, Tokyo 1698555, JapanWaseda Univ, Grad Sch Adv Sci & Engn, Shinjuku Ku, 3-4-1 Okubo, Tokyo 1698555, Japan
机构:
Cent S Univ, Dept Math, Changsha 410075, Hunan, Peoples R China
Hunan Inst Engn, Fac Sci, Xiangtan 411104, Hunan, Peoples R ChinaCent S Univ, Dept Math, Changsha 410075, Hunan, Peoples R China
Cao, Jianxin
Chen, Haibo
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Cent S Univ, Dept Math, Changsha 410075, Hunan, Peoples R ChinaCent S Univ, Dept Math, Changsha 410075, Hunan, Peoples R China