68 citations · 225 across the 9 of their papers we have counts for
13 papers · 1 filter
On a criterion for log-convex decay in non-selfadjoint dynamics
Jon Johnsen
The short-time and global behaviour are studied for autonomous linear evolution equations defined by generators of uniformly bounded holomorphic semigroups in a Hilbert space. A ge…
Isomorphic well-posedness of the final value problem for the heat equation with the homogeneous Neumann condition
Jon Johnsen
This paper concerns the final value problem for the heat equation under the homogeneous Neumann condition on the boundary of a smooth open set in Euclidean space. The problem is he…
Well-Posed Final Value Problems and Duhamel's Formula for Coercive Lax--Milgram Operators
Jon Johnsen
This paper treats parabolic final value problems generated by coercive Lax--Milgram operators, and well-posedness is proved for this large class. The result is obtained by means of…
A class of well-posed parabolic final value problems
Jon Johnsen
This paper focuses on parabolic final value problems, and well-posedness is proved for a large class of these. The clarification is obtained from Hilbert spaces that characterise d…
Characterisation of Log-Convex Decay in Non-Selfadjoint Dynamics
Jon Johnsen
The short-time and global behaviour are studied for an autonomous linear evolution equation, which is defined by a generator inducing a uniformly bounded holomorphic semigroup in a…
Pointwise multiplication of Besov and Triebel--Lizorkin spaces
Jon Johnsen
It is shown that para-multiplication applies to a certain product defined for appropriate temperate distributions and . Boundedness of is investiga…