Estimates of Wiman–Valiron type for evolution equations
N. M. Suleimanov, D. E. Farajli · Differential Equations · 2017
We establish estimates of Wiman–Valiron type for solutions of evolution equations with a pseudodifferential operator of the Hörmander class in a Hilbert space. Estimates of this type characterize the behavior of the solution of the problem as t →∞ or t → 0 depending on the decay or growth rate of the Fourier coefficients of the initial data.