Institut für Numerische Mathematik (Math D)
Publications Jussi Behrndt
Refereed Publications
  1. Jussi Behrndt
    Spectral theory of elliptic differential operators with indefinite weights.
    to appear in Proc. Roy. Soc. Edinburgh Sect. A; pdf-file
     
  2. Jussi Behrndt, Seppo Hassi, Henk de Snoo, Rudi Wietsma, Henrik Winkler
    Linear fractional transformations of Nevanlinna functions associated with a nonnegative operator.
    to appear in Complex Analysis Operator Theory; pdf-file
     
  3. Jussi Behrndt, Jonathan Rohleder
    An inverse problem of Calderon type with partial data.
    to appear in Comm. Partial Differential Equations; pdf-file
     
  4. Jussi Behrndt, Seppo Hassi, Henk de Snoo, Rudi Wietsma
    Limit properties of monotone matrix functions.
    Linear Algebra Appl. 436 (2012) 935-953; pdf-file
     
  5. Jussi Behrndt, Matthias Langer
    Elliptic operators, Dirichlet-to-Neumann maps and quasi boundary triples.
    London Math. Soc. Lecture Note Series 404 (2012), 121-160; pdf-file
     
  6. Tomas Ya. Azizov, Jussi Behrndt, Peter Jonas, Carsten Trunk
    Spectral points of definite type and type pi for linear operators and relations in Krein spaces.
    J. London Math. Soc. 83 (2011), 768-788; pdf-file
     
  7. Jussi Behrndt, Vladimir Derkach, Seppo Hassi, Henk de Snoo
    A realization theorem for generalized Nevanlinna families.
    Oper. Matrices 5 (2011), 679-706; pdf-file
     
  8. Jussi Behrndt, Seppo Hassi, Henk de Snoo, Rudi Wietsma
    Square-integrable solutions and Weyl functions for singular canonical systems.
    Math. Nachr. 284 (2011), 1334-1384; pdf-file
     
  9. Jussi Behrndt, Roland Möws, Carsten Trunk
    Eigenvalue estimates for singular left-definite Sturm-Liouville operators.
    J. Spectral Theory 1 (2011), 327-347; pdf-file
     
  10. Jussi Behrndt
    Elliptic boundary value problems with lambda-dependent boundary conditions.
    J. Differential Equations 249 (2010), 2663-2687; pdf-file
     
  11. Jussi Behrndt, Seppo Hassi, Henk de Snoo, Rudi Wietsma
    Monotone convergence theorems for semibounded operators and forms with applications.
    Proc. Roy. Soc. Edinburgh Sect. A 140 (2010), 927-951; pdf-file
     
  12. Jussi Behrndt, Mikael Kurula, Arjan van der Schaft, Hans Zwart
    Dirac structures and their composition on Hilbert spaces.
    J. Math. Anal. Appl. 372 (2010), 402-422; pdf-file
     
  13. Jussi Behrndt, Matthias Langer
    On the adjoint of a symmetric operator.
    J. London Math. Soc. 82 (2010), 563-580; pdf-file
     
  14. Jussi Behrndt, Matthias Langer, Igor Lobanov, Vladimir Lotoreichik, Igor Popov
    A remark on Schatten-von Neumann properties of resolvent differences of generalized Robin Laplacians on bounded domains.
    J. Math. Anal. Appl. 371 (2010), 750-758; pdf-file
     
  15. Jussi Behrndt, Annemarie Luger
    On the number of negative eigenvalues of the Laplacian on a metric graph.
    J. Phys. A: Math. Theor. 43 (2010) 474006; pdf-file
     
  16. Jussi Behrndt, Friedrich Philipp
    Spectral analysis of singular ordinary differential operators with indefinite weights.
    J. Differential Equations 248 (2010), 2015-2037; pdf-file
     
  17. Daniel Alpay, Jussi Behrndt
    Generalized Q-functions and Dirichlet-to-Neumann maps for elliptic differential operators.
    J. Funct. Anal. 257 (2009), 1666-1694; pdf-file
     
  18. Tomas Ya. Azizov, Jussi Behrndt, Peter Jonas, Carsten Trunk
    Compact and finite rank perturbations of closed linear operators and relations in Hilbert spaces.
    Integral Equations Operator Theory 63 (2009), 151-163; pdf-file
     
  19. Jussi Behrndt
    Boundary value problems with eigenvalue depending boundary conditions.
    Math. Nachr. 282 (2009), 659-689; pdf-file
     
  20. Jussi Behrndt
    Realization of non-strict matrix Nevanlinna functions as Weyl functions of symmetric operators in Pontryagin spaces.
    Proc. Amer. Math. Soc. 137 (2009), 2685-2696; pdf-file
     
  21. Jussi Behrndt, Seppo Hassi, Henk de Snoo
    Boundary relations, unitary colligations, and functional models.
    Complex Analysis Operator Theory 3 (2009), 57-98; pdf-file
     
  22. Jussi Behrndt, Qutaibeh Katatbeh, Carsten Trunk
    Non-real eigenvalues of singular indefinite Sturm-Liouville operators.
    Proc. Amer. Math. Soc. 137 (2009), 3797-3806; pdf-file
     
  23. Jussi Behrndt, Mark Malamud, Hagen Neidhardt
    Finite rank perturbations, scattering matrices and inverse problems.
    Operator Theory: Advances and Applications 198 (2009), 61-85; pdf-file
     
  24. Jussi Behrndt, Henk de Snoo
    On Krein's formula.
    J. Math. Anal. Appl. 351 (2009), 567-578; pdf-file
     
  25. Tomas Ya. Azizov, Jussi Behrndt, Friedrich Philipp, Carsten Trunk
    On domains of powers of linear operators and finite rank perturbations.
    Operator Theory: Advances and Applications 188 (2008), 31-37; pdf-file
     
  26. Tomas Ya. Azizov, Jussi Behrndt, Carsten Trunk
    On finite rank perturbations of definitizable operators.
    J. Math. Anal. Appl. 339 (2008), 1161-1168; pdf-file
     
  27. Jussi Behrndt, Seppo Hassi, Henk de Snoo
    Functional models for Nevanlinna families.
    Opuscula Math. 28 (2008), 233-245; pdf-file
     
  28. Jussi Behrndt, Qutaibeh Katatbeh, Carsten Trunk
    Accumulation of complex eigenvalues of indefinite Sturm-Liouville operators.
    J. Phys. A: Math. Theor. 41 (2008), 244003; pdf-file
     
  29. Jussi Behrndt, Mark Malamud, Hagen Neidhardt
    Scattering matrices and Weyl functions.
    Proc. London Math. Soc. 97 (2008), 568-598; pdf-file
     
  30. Jussi Behrndt, Mark Malamud, Hagen Neidhardt
    Trace formulae for dissipative and coupled scattering systems.
    Operator Theory: Advances and Applications 188 (2008), 49-87; pdf-file
     
  31. Jussi Behrndt, Hagen Neidhardt, Elena Racec, Paul Racec, Ulrich Wulf
    On Eisenbud's and Wigner's R-matrix: A general approach.
    J. Differential Equations 244 (2008), 2545-2577; pdf-file
     
  32. Jussi Behrndt
    On the spectral theory of singular indefinite Sturm-Liouville operators.
    J. Math. Anal. Appl. 334 (2007), 1439-1449; pdf-file
     
  33. Jussi Behrndt
    Finite rank perturbations of locally definitizable self-adjoint operators in Krein spaces.
    J. Operator Theory 58 (2007), 415-440; pdf-file
     
  34. Jussi Behrndt, Hans-Christian Kreusler
    Boundary relations and generalized resolvents of symmetric relations in Krein spaces.
    Integral Equations Operator Theory 59 (2007), 309-327; pdf-file
     
  35. Jussi Behrndt, Matthias Langer
    Boundary value problems for elliptic partial differential operators on bounded domains.
    J. Funct. Anal. 243 (2007), 536-565; pdf-file
     
  36. Jussi Behrndt, Annemarie Luger
    An analytic characterization of the eigenvalues of self-adjoint extensions.
    J. Funct. Anal. 242 (2007), 607-640; pdf-file
     
  37. Jussi Behrndt, Annemarie Luger, Carsten Trunk
    Generalized resolvents of a class of symmetric operators in Krein spaces.
    Operator Theory: Advances and Applications 175 (2007), 13-32; pdf-file
     
  38. Jussi Behrndt, Mark Malamud, Hagen Neidhardt
    Scattering theory for open quantum systems with finite rank coupling.
    Math. Phys. Anal. Geom. 10 (2007), 313-358; pdf-file
     
  39. Jussi Behrndt, Hagen Neidhardt, Joachim Rehberg
    Block operator matrices, optical potentials, trace class perturbations and scattering.
    Operator Theory: Advances and Applications 175 (2007), 33-49; pdf-file
     
  40. Jussi Behrndt, Carsten Trunk
    On the negative squares of indefinite Sturm-Liouville operators.
    J. Differential Equations 238 (2007), 491-519; pdf-file
     
  41. Jussi Behrndt
    A class of abstract boundary value problems with locally definitizable functions in the boundary condition.
    Operator Theory: Advances and Applications 163 (2006), 55-73; pdf-file
     
  42. Jussi Behrndt, Peter Jonas
    Boundary value problems with local generalized Nevanlinna functions in the boundary condition.
    Integral Equations Operator Theory 55 (2006), 453-475; pdf-file
     
  43. Jussi Behrndt, Friedrich Philipp, Carsten Trunk
    Properties of the spectrum of type pi+ and type pi- of self-adjoint operators in Krein spaces.
    Methods Funct. Anal. Topology 12 no. 4 (2006), 326-340; pdf-file
     
  44. Jussi Behrndt, Carsten Trunk
    Sturm-Liouville operators with indefinite weight functions and eigenvalue depending boundary conditions.
    J. Differential Equations 222 (2006), 297-324; pdf-file
     
  45. Jussi Behrndt, Peter Jonas
    On compact perturbations of locally definitizable selfadjoint relations in Krein spaces.
    Integral Equations Operator Theory 52 (2005), 17-44; pdf-file
     
Other Publications
  1. Jussi Behrndt, Konstantin Pankrashkin, Olaf Post
    Mini Workshop: Boundary value problems and spectral geometry.
    to appear in Oberwolfach Reports (2012); pdf-file
     
  2. Jussi Behrndt, Seppo Hassi, Henk de Snoo, Rudi Wietsma, Henrik Winkler
    Linear fractional transformations of Stieltjes functions.
    Proc. Appl. Math. Mech. 11 (2011), 887--888; pdf-file
     
  3. Jussi Behrndt, Christian Kühn, Jonathan Rohleder
    Selfadjoint Schrödinger operators on the half-space with compactly supported Robin boundary conditions.
    to appear in Proc. Appl. Math. Mech. 11 (2011), 885--886; pdf-file
     
  4. Jussi Behrndt, Till Micheler
    Boundary triples and quasi boundary triples for elliptic operators.
    Proc. Appl. Math. Mech. 11 (2011), 883--884; pdf-file
     
  5. Jussi Behrndt, Jonathan Rohleder
    A characterization of the eigenvalues of Schrödinger operators with Dirichlet and Neumann boundary conditions.
    Proc. Appl. Math. Mech. 10 (2010), 657-658; pdf-file
     
  6. Jussi Behrndt, Roland Möws, Carsten Trunk
    Singular indefinite Sturm-Liouville operators with a spectral gap.
    Proc. Appl. Math. Mech. 9 (2009), 669-670; pdf-file
     
  7. Jussi Behrndt, Friedrich Philipp, Carsten Trunk
    Definitizability of a class of J-selfadjoint operators with applications.
    Proc. Appl. Math. Mech. 9 (2009), 665-666; pdf-file
     
  8. Jussi Behrndt, Jonathan Rohleder
    An L2 model for selfadjoint elliptic differential operators with constant coefficients on bounded domains.
    Proc. Appl. Math. Mech. 9 (2009), 673-674; pdf-file
     
  9. Jussi Behrndt, Olivier Sete
    On the nonreal eigenvalues of elliptic differential operators with indefinite weights on Lipschitz domains.
    Proc. Appl. Math. Mech. 9 (2009), 667-668; pdf-file
     
  10. Jussi Behrndt, Igor Lobanov, Vladimir Lotoreichik, Igor Popov
    Counting eigenvalues of a Schrödinger operator with delta-potential supported by a loop.
    Proceedings of the conference Days of Diffraction 2009, 140--143.
     
  11. Jussi Behrndt, Karl-Heinz Förster, Carsten Trunk
    In memoriam Peter Jonas (1941 - 2007).
    Oper. Theory Adv. Appl. 198, ix-xi.
     
  12. Jussi Behrndt
    Linearizations of a class of elliptic boundary value problems.
    Proc. Appl. Math. Mech. 6 (2006), 619-620; pdf-file
     
  13. Jussi Behrndt, Mark Malamud, Hagen Neidhardt
    Scattering systems and characteristic functions.
    Proceedings 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS), Kyoto, Japan, (2006), 1940-1945; pdf-file
     
  14. Jussi Behrndt, Carsten Trunk
    On generalized resolvents of symmetric operators of defect one with finitely many negative squares.
    Proceedings AIT Conference, Vaasan Yliop. Julk. Selvityksiä Rap. 124, Vaasa, Finland (2005), 21-30; pdf-file
     
Editorial Work
  1. Wolfgang Arendt, Joe Ball, Jussi Behrndt, Karl-Heinz Förster, Volker Mehrmann, Carsten Trunk (Editors)
    Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations.
    Operator Theory: Advances and Applications 221, 2012, Birkhäuser, Basel.
     
  2. Jussi Behrndt, Karl-Heinz Förster, Carsten Trunk (Editors)
    Recent Advances in Operator Theory in Hilbert and Krein Spaces.
    Operator Theory: Advances and Applications 198, 2009, Birkhäuser, Basel.
     
  3. Jussi Behrndt, Karl-Heinz Förster, Heinz Langer, Carsten Trunk (Editors)
    Spectral Theory in Inner Product Spaces and Applications.
    Operator Theory: Advances and Applications 188, 2008, Birkhäuser, Basel.
     
Theses
  1. Jussi Behrndt
    Spektraltheorie von Differentialoperatoren und eine Klasse nichtlinearer Randwertprobleme.
    Habilitationsschrift, Technische Universität Berlin (2008)
     
  2. Jussi Behrndt
    Compact and finite rank perturbations of selfadjoint operators in Krein spaces with applications
    to boundary eigenvalue problems.
    Dissertation, Technische Universität Berlin (2005)
     
  3. Jussi Behrndt
    Spektraleigenschaften einer Klasse von selbstadjungierten Erweiterungen symmetrischer Operatoren
    im Hilbertraum.
    Diplomarbeit, Technische Universität Berlin (2002)
     
Submitted Papers
  1. Jussi Behrndt, Seppo Hassi, Henk de Snoo, Rudi Wietsma
    Antitonicity of the inverse for selfadjoint matrices, operators, and relations.
     
  2. Jussi Behrndt, Matthias Langer, Vladimir Lotoreichik
    Spectral estimates for resolvent differences of selfadjoint elliptic operators.
     
  3. Jussi Behrndt, Matthias Langer, Vladimir Lotoreichik
    Schrödinger operators with delta and delta'-potentials supported on hypersurfaces.
     
  4. Jussi Behrndt, Annemarie Luger, Carsten Trunk
    On the negative squares of a class of self-adjoint extensions in Krein spaces.
     
  5. Jussi Behrndt, Leslie Leben, Friedrich Philipp
    Variation of discrete spectra of non-negative operators in Krein spaces.
     
  6. Jussi Behrndt, Friedrich Philipp, Carsten Trunk
    Bounds for the non-real spectrum of differential operators with indefinite weights.