68 citations · 340 across the 26 of their papers we have counts for
6 papers · 2 filters
Parametrices and exact paralinearisation of semi-linear boundary problems
Jon Johnsen
The subject is parametrices for semi-linear problems, based on parametrices for linear boundary problems and on non-linearities that decompose into solution-dependent linear operat…
On the Theory of Type 1,1-Operators
Jon Johnsen
This dissertation concerns the pseudo-differential operators of type 1,1. These have been known especially since around 1980, when it was shown that they play an important role in…
-Theory of Type -Operators
Jon Johnsen
This is a continuation of recent work on the general definition of pseudo-differential operators of type , in Hörmander's sense. Continuity in -Sobolev spaces and Hölder-…
Pointwise estimates of pseudo-differential operators
Jon Johnsen
As a new technique it is shown how general pseudo-differential operators can be estimated at arbitrary points in Euclidean space when acting on functions with compact spectra.…
Anisotropic, Mixed-Norm Lizorkin--Triebel Spaces and Diffeomorphic Maps
Jon Johnsen, Sabrina Munch Hansen, Winfried Sickel
This article gives general results on invariance of anisotropic Lizorkin--Triebel spaces with mixed norms under coordinate transformations on Euclidean space, open sets and cylindr…
Fundamental Results for Pseudo-Differential Operators of Type
Jon Johnsen
This paper develops some deeper consequences of an extended definition, proposed previously by the author, of pseudo-differential operators that are of type in Hörmander's se…