caa a22 4500 606194169 CHVBK 20210128100913.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s00030-014-0297-7 doi (NATIONALLICENCE)springer-10.1007/s00030-014-0297-7 Energy decay for systems of semilinear wave equations with dissipative structure in two space dimensions [Elektronische Daten] [Soichiro Katayama, Akitaka Matsumura, Hideaki Sunagawa] We consider the Cauchy problem for systems of semilinear wave equations in two space dimensions. We present a structural condition on the nonlinearity under which the energy decreases to zero as time tends to infinity if the Cauchy data are sufficiently small, smooth and compactly-supported. Springer Basel, 2014 Nonlinear wave equations nationallicence Energy decay nationallicence Katayama Soichiro Department of Mathematics, Wakayama University, 930 Sakaedani, 640-8510, Wakayama, Japan aut Matsumura Akitaka Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University, 1-1 Machikaneyama-cho, 560-0043, Toyonaka, Osaka, Japan aut Sunagawa Hideaki Department of Mathematics, Graduate School of Science, Osaka University, 1-1 Machikaneyama-cho, 560-0043, Toyonaka, Osaka, Japan aut Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/4(2015-08-01), 601-628 1021-9722 22:4<601 2015 22 30 https://doi.org/10.1007/s00030-014-0297-7 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00030-014-0297-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Katayama Soichiro Department of Mathematics, Wakayama University, 930 Sakaedani, 640-8510, Wakayama, Japan aut NATIONALLICENCE 700 1- Matsumura Akitaka Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University, 1-1 Machikaneyama-cho, 560-0043, Toyonaka, Osaka, Japan aut NATIONALLICENCE 700 1- Sunagawa Hideaki Department of Mathematics, Graduate School of Science, Osaka University, 1-1 Machikaneyama-cho, 560-0043, Toyonaka, Osaka, Japan aut NATIONALLICENCE 773 0- Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/4(2015-08-01), 601-628 1021-9722 22:4<601 2015 22 30