We study the asymptotic as t ! 1behavior of solutions u(x, t) of the Cauchy problem and the mixed initial boundary value problem for a second-order hyperbolic equation with periodic coefficients in R1 and on the semi-axis. In the case of non-homogeneous equation, initial and boundary data are zero, and the right-hand side of the equation is of the form f(x) exp(−i!t), where ! > 0 is real.
Behavior of Solutions of the Cauchy Problem and the Mixed Initial Boundary Value Problem for an Inhomogeneous Hyperbolic Equation with Periodic Coefficients
Nordo, GiorgioSecondo
Investigation
;
2020-01-01
Abstract
We study the asymptotic as t ! 1behavior of solutions u(x, t) of the Cauchy problem and the mixed initial boundary value problem for a second-order hyperbolic equation with periodic coefficients in R1 and on the semi-axis. In the case of non-homogeneous equation, initial and boundary data are zero, and the right-hand side of the equation is of the form f(x) exp(−i!t), where ! > 0 is real.File in questo prodotto:
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