We consider initial value problems for semilinear Klein-Gordon equations with periodic boundary conditions. Assuming that both the initial data and the nonlinear forcing term are analytic, we provide explicit lower bounds on the decay of the radius of analyticity of the solutions as a function of time.
On the domain of analyticity of solutions to semilinear Klein-Gordon equations / Panizzi, Stefano. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 75:(2012), pp. 2841-2850. [10.1016/j.na.2011.11.031]
On the domain of analyticity of solutions to semilinear Klein-Gordon equations
PANIZZI, Stefano
2012-01-01
Abstract
We consider initial value problems for semilinear Klein-Gordon equations with periodic boundary conditions. Assuming that both the initial data and the nonlinear forcing term are analytic, we provide explicit lower bounds on the decay of the radius of analyticity of the solutions as a function of time.File in questo prodotto:
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