68 citations · 225 across the 9 of their papers we have counts for
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math.AP2019
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…
math.AP2019
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…
math.AP2019
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…