High-degree precision decomposition method for an evolution problem.
Hille-Yosida theory in convenient analysis.
A Hille-Yosida Theorem is proved on convenient vector spaces, a class, which contains all sequentially complete locally convex spaces. The approach is governed by convenient analysis and the credo that many reasonable questions concerning strongly continuous semigroups can be proved on the subspace of smooth vectors. Examples from literature are reconsidered by these simpler methods and some applications to the theory of infinite dimensional heat equations are given.
Homogenization of linear and nonlinear ordinary differential equations with time depending coefficients
Hyperbolic differential-operator equations on a whole axis.