Scientific work of Jon Johnsen


Authors are ordered alphabetically.

    Publications

  1. The stationary Navier-Stokes equations in Lp-related spaces.
    1, Ph.D.-series 1993, University of Copenhagen; 92 pages.

  2. Pointwise multiplication of Besov and Triebel-Lizorkin spaces.
    Mathematische Nachrichten, 175 (1995), 85-133 (49 pages). DOI:10.1002/mana.19951750107
    [Archive: ArXiv:1709.02698]
    Minor and major misprints as of December 2018.

  3. Elliptic boundary value problems and the Boutet de Monvel calculus in Besov and Triebel-Lizorkin spaces.
    Mathematica Scandinavica, 79 (1996), 25-85 (61 pages). EuDML:167394 and also at Mscand.dk:12593/10609
    [Archive: ArXiv:1704.08555]

  4. Regularity properties of semi-linear boundary problems in Besov and Triebel-Lizorkin spaces.
    Journées ``Équations Derivées Partielles'',
    St. Jean de Monts 1995, Exp. No. XIV, 10 pp., École Polytechnique, Palaiseau 1995. EuDML:93299 and also at NUMDAM:JEDP_1995____A14_0.pdf
    [Archive: ArXiv:1704.07118]

  5. Semilinear boundary problems of composition type in Lp-related spaces
    (jointly with Th. Runst).
    Communications in Partial Differential Equations, 22 (1997), 1283-1324 (42 pages). DOI:10.1080/03605309708821301
    [Archive: ArXiv:1704.06509]

  6. On spectral properties of Witten-Laplacians, their range-projections and Brascamp-Lieb's inequality.
    Integral Equations and Operator Theory, 36 (2000), 288-324 (37 pages). DOI:10.1007/BF01213926
    [Archive: ArXiv:1703.10011]

  7. Traces of Besov spaces revisited.
    Zeitschrift für Analysis und ihre Anwendungen, 19 (2000) 763-779 (17 pages). DOI:10.4171/ZAA/979
    [Archive: ArXiv:1703.07674]

  8. Traces of anisotropic Besov and Lizorkin-Triebel spaces--a complete treatment of the borderline cases
    (jointly with W. Farkas, W. Sickel).
    Mathematica Bohemica 125 (2000), 1-37 (37 pages). ELibM:www.emis.de/journals/MB/125.1/1.html
    [Archive: ArXiv:1703.06720]

  9. Regularity results and parametrices of semilinear boundary problems of product type.
    Function Spaces, Differential Operators and Nonlinear Analysis (eds. D. Haroske, T. Runst, H.-J. Schmeisser),
    Birkhauser 2003, 353-360 (8 pages). DOI:10.1007/978-3-0348-8035-0_24
    [Archive: ArXiv:1703.06094]

  10. Domains of type 1,1 operators: a case for Triebel-Lizorkin spaces.
    Comptes Rendus Academie de Sciences Paris, Serie I 339 (2004), 115-118 (4 pages). DOI:10.1016/j.crma.2004.05.008
    [Archive: ArXiv:1702.02033]

  11. Domains of pseudo-differential operators: a case for the Triebel-Lizorkin spaces.
    Journal of Function Spaces and their Applications, 3 (2005), 263-286 (24 pages). DOI:10.1155/2005/393050
    [Archive: ArXiv:1702.01070]

  12. Moment evolution of Gaussian and geometric Wiener diffusions
    (jointly with B. Sloth Jensen, Chunyan  Wang).
    Stochastic Economic Dynamics (eds. B. Sloth Jensen, T. Palokangas),
    Copenhagen Business School Press 2007, Fredriksberg, Denmark, 57-100 (44 pages).

  13. A direct proof of Sobolev embeddings for quasi-homogeneous Triebel-Lizorkin spaces with mixed norms
    (jointly with W. Sickel).
    Journal of Function Spaces and their Applications, 5 (2007), 183-198 (16 pages). DOI:10.1155/2007/714905
    [Archive: ArXiv:1702.00972]

  14. On the trace problem for Lizorkin-Triebel spaces with mixed norms
    (jointly with W. Sickel).
    Mathematische Nachrichten 281 (2008), 669-696 (28 pages). DOI:10.1002/mana.200610634
    [Archive: ArXiv:1702.00712]

  15. Type 1,1-operators defined by vanishing frequency modulation.
    New Developments in Pseudo-Differential Operators (eds. L. Rodino, Man Wah Wong),
    Birkhäuser 2008. Operator Theory: Advances and Applications, Vol. 189, 201-246 (46 pages). DOI:10.1007/978-3-7643-8969-7_10
    [Archive: ArXiv:1701.03334]

  16. Parametrices and exact paralinearisation of semi-linear boundary problems.
    Communications in Partial Differential Equations, 33 (2008), 1729-1787 (59 pages). DOI:10.1080/03605300802289188
    [Archive: ArXiv:1610.06354]

  17. Simple proofs of nowhere-differentiability for Weierstrass's function and cases of slow growth.
    Journal of Fourier Analysis and Applications 16 (2010), 17-33 (17 pages). DOI:10.1007/s00041-009-9072-2
    [Archive: ArXiv:1610.06354]
    Misprints as of July 2019.

  18. On the theory of type 1,1-operators.
    Doctoral dissertation, Aalborg University, 2011 (71 pages). DOI:10.5278/53371203
    [Archive: ArXiv:1610.04469]

  19. Pointwise estimates of pseudo-differential operators.
    Journal of Pseudo-differential Operators and Applications 2 (2011), 377-398 (22 pages). DOI:10.1007/s11868-011-0029-2
    [Archive: ArXiv:1609.07331]

  20. Lp-theory of type 1,1-operators.
    Mathematische Nachrichten, 286 (2013), 712--729 (18 pages). DOI:10.1002/mana.201100179
    [Archive: ArXiv:1609.07945]

  21. Characterisation by local means of anisotropic Lizorkin--Triebel spaces with mixed norms
    (with S. Munch Hansen, W. Sickel).
    Journal of Analysis and its Applications, 32 (2013) 257--277 (21 pages). DOI:10.4171/ZAA/1484
    [Archive: ArXiv:1609.06970]

  22. Anisotropic, mixed norm Lizorkin--Triebel spaces and diffeomorphic maps
    (with S. Munch Hansen, W. Sickel).
    Journal of Function Spaces, Article ID 964794, 15 pages, 2014. DOI:10.1155/2014/964794
    [Archive: ArXiv:1608.04573]

  23. Anisotropic Lizorkin--Triebel spaces with mixed norms---traces on smooth boundaries
    (with S. Munch Hansen, W. Sickel).
    Mathematische Nachrichten, 288 (2015), 1327--1359. (33 pages) DOI:10.1002/mana.201300313
    [Archive: ArXiv:1608.04575]

  24. Fundamental results for pseudo-differential operators of type 1,1.
    Axioms 5 (2016), 13 (37 pages). DOI:10.3390/axioms5020013
    [Archive: ArXiv:1608.04282]

  25. Wavelet transforms for homogeneous mixed-norm Triebel--Lizorkin spaces
    (with A. Georgiadis and M. Nielsen).
    Monatshefte für Mathematik, 183 (2017), 587--624 (38 pages). DOI:10.1007/s00605-017-1036-z
    [Archive: ArXiv:1608.03782]

  26. On parabolic final value problems and well-posedness
    (with A.-E. Christensen).
    Comptes Rendus Mathematiques, 356, no. 3 (2018), 301--305 (5 pages). DOI:10.1016/j.crma.2018.01.019
    [Archive: ArXiv:1708.06936]

  27. Final value problems for parabolic differential equations and their well-posedness
    (with A.-E. Christensen).
    Axioms, 7, issue 2 (2018), article no. 31 (36 pages). DOI:10.3390/axioms7020031
    [Archive: ArXiv:1707.02136]

  28. Characterisation of log-convex decay in non-selfadjoint dynamics.
    Electronic Research Announcements in Mathematical Sciences, 25, no. 8 (2018), 72-86 (15 pages). DOI:10.3934/era.2018.25.008
    [Archive: ArXiv:1806.10870]

  29. A class of well-posed parabolic final value problems.
    Advances in Microlocal and Time-Frequency Analysis (eds. Boggiato, P. et al.).
    Birkhäuser, 2020. Applied and Numerical Harmonic Analysis, vol. 99, 259--280 (22 pages). DOI:10.1007/978-3-030-36138-9_16
    [Archive: ArXiv:1904.05190]

  30. Well-posed final value problems and Duhamel's formula for coercive Lax--Milgram operators.
    Electronic Research Archive, 27 (2019), 20--36 (17 pages). DOI:10.3934/era.2019008
    [Archive: ArXiv:1906.03117]

  31. On a criterion for log-convex decay in non-selfadjoint dynamics.To appear in "Research perspectives", Birkhäuser.
    [Archive: ArXiv:2001.08475]

Submitted articles

  1. Isomorphic well-posedness of final value problems for the heat equation with the homogeneous Neumann condition.
    [Archive: ArXiv:1912.09372]

In preparation

  1. TBA

Last modified: Thursday 5 March 2020.