Energy decay for systems of semilinear wave equations with dissipative structure in two space dimensions

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.

28 pages. arXiv admin note: text overlap with arXiv:1206.0066

References in corpus (1)

• A remark on decay rates of solutions for a system of quadratic nonlinear Schrödinger equations in 2D

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