Infinite non homogeneous chain of harmonic oscillators: Large-time behavior of solutions
We consider the Cauchy problem for infinite one-dimensional chain of harmonic oscillators with different masses. We study the large time behavior of solutions and derive the dispersive bounds for them.
infinite one-dimensional non homogeneous chain of harmonic oscillators, Cauchy problem,
Fourier-Laplace transform, Puiseux expansion, dispersive estimates
Mathematical problems and theory of numerical methods