Well-posedness of Cauchy problems for linear evolution operators with time dependent coefficients
The author proves well-posedness of the Cauchy problem to weakly hyperbolic higher order linear equation with time-dependent coefficients. To do that, he generalizes Tarama-Shiozaki's method, splits the given interval \((0,T)\) into several intervals, on which he deduces the necessary energy estimates. Some examples treated by other authors are given here in view of the proved results.
scientific article; zbMATH DE number 1394752