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Energy decay for systems of semilinear wave equations with dissipative structure in two space dimensions
Published 23 Sep 2013 in math.AP | (1309.6006v2)
Abstract: 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.
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