arXiv subjects

Mikael Signahl

Publications and source records attributed to Mikael Signahl.

2 recordsLinked to original sources

arXiv2016

Factorizations and singular value estimates of operators with Gelfand-Shilov and Pilipović kernels

We prove that any linear operator with kernel in a Pilipović or Gelfand-Shilov space can be factorized by two operators in the same class. We also give links on numerical approximations for such compositions. We apply these composition rules to deduce estimates of singular values and establish Schatten-von Neumann properties for such operators.

math.FA↗

arXiv2015

Almost Sharp Global Well-Posedness for a class of Dissipative and Dispersive Equations on R in Low Regularity Sobolev Spaces

In this paper we obtain global well-posedness in low order Sobolev spaces of higher order KdV type equations with dissipation. The result is optimal in the sense that the flow-map is not twice continuously differentiable in rougher spaces. The solution is shown to be smooth for positive times.

math.AP↗