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  • 1.
    Enblom, Andreas
    KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
    On the absolutely continuous spectrum of magnetic Schrödinger operators2009In: Journal of Mathematical Sciences, ISSN 1072-3374, E-ISSN 1573-8795, Vol. 156, no 4, p. 699-723Article in journal (Refereed)
    Abstract [en]

    We prove that [0, ∞) is an essential support for the absolutely continuous part of the spectral measure associated with the magnetic Schrödinger operator (i▽+ A)2 in L2(ℝ ν), given certain conditions on the decay of A. Bibliography: 8 titles. Illustrations: 1 figure.

  • 2.
    Hedenmalm, Håkan
    et al.
    KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
    Shirokov, N. A.
    Keldysh-Lavrentiev counterexample and means of powers of a conformal mapping. 1. construction of a mapping2012In: Journal of Mathematical Sciences, ISSN 1072-3374, E-ISSN 1573-8795, Vol. 182, no 5, p. 724-726Article in journal (Refereed)
    Abstract [en]

    We construct a region with infinitely many cusps on its boundary such that it is possible to estimate the derivative of a conformal mapping of the units disk onto this region from below. We use some ideas taken from the construction of a famous Keldysh-Lavrentiev example. Bibliography: 2 titles.

  • 3.
    Lenells, Jonatan
    et al.
    University of Notre Dame, United States .
    Misiołek, G.
    Amari: Chentsov connections and their geodesics on homogeneous spaces of diffeomorphism groups2014In: Journal of Mathematical Sciences, ISSN 1072-3374, E-ISSN 1573-8795, Vol. 196, no 2, p. 144-151Article in journal (Refereed)
    Abstract [en]

    We study the family of Amari-Chentsov α-connections on the homogeneous space D(M)/Dμ(M) of diffeomorphisms modulo volume-preserving diffeomorphims of a compact manifold M. We show that in some cases their geodesic equations yield completely integrable Hamiltonian systems.

  • 4.
    Shahgholian, Henrik
    KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
    When does the free boundary enter into corner points of the fixed boundary?2006In: Journal of Mathematical Sciences, ISSN 1072-3374, E-ISSN 1573-8795, Vol. 132, no 3, p. 371-377Article in journal (Refereed)
    Abstract [en]

    Our prime goal in this note is to lay the ground for studying free boundaries close to the corner points of a fixed Lipschitz continuous boundary. Our study is restricted to 2-space dimensions and to the obstacle problem. Our main result states that the free boundary cannot enter a corner x0 of the fixed boundary if the (interior) angle is less than π, provided that the boundary datum is zero near to the point x0. For larger angles and other boundary data, the free boundary may enter into corners, as discussed in the text. Bibliography: 10 titles.

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