Positions

Selected Publications

Academic Article

Year Title Altmetric
2019 Donoghue-type m-functions for Schrödinger operators with operator-valued potentialsJournal d'Analyse Mathématique.  137:373-427. 2019
2017 On Leighton's comparison theoremJournal of Differential Equations.  262:5978-5989. 2017
2016 The spectral problem for the dispersionless camassa-holm equationOperator Theory Advances and Applications.  255:67-90. 2016
2015 The inverse resonance problem for left-definite Sturm-Liouville operatorsJournal of Mathematical Analysis and Applications.  423:1753-1773. 2015
2014 Some remarks on the spectral problem underlying the camassa-holm hierarchyOperator Theory Advances and Applications.  240:137-188. 2014
2013 Initial value problems and Weyl-Titchmarsh theory for Schrödinger operators with operator-valued potentialsOperators and Matrices.  7:241-283. 2013
2013 On a class of model hilbert spacesDiscrete and Continuous Dynamical Systems - Series A.  33:5067-5088. 2013
2013 On spectral theory for Schrödinger operators with operator-valued potentialsJournal of Differential Equations.  255:1784-1827. 2013
2013 The inverse resonance problem for left-definite Sturm-Liouville operatorsJournal of Mathematical Analysis and Applications2013
2013 On inverse problems for left-definite discrete Sturm-Liouville equationsOperators and Matrices.  7:35-70. 2013
2013 Stability for the inverse resonance problem for the CMV operator 2013
2012 Scattering and inverse scattering for a left-definite Sturm-Liouville problemJournal of Differential Equations.  253:2380-2419. 2012
2012 A uniqueness result for one-dimensional inverse scatteringMathematical News / Mathematische Nachrichten.  285:941-948. 2012
2012 On the inverse resonance problemfor Jacobi operators-uniqueness and stabilityJournal d'Analyse Mathématique.  117:221-247. 2012
2010 The inverse resonance problem for CMV operatorsInverse Problems.  26. 2010
2010 On the inverse resonance problem for schrödinger operatorsCommunications in Mathematical Physics.  295:465-484. 2010
2009 Inverse spectral and scattering theory for the half-line left-definite sturm-liouville problemSIAM Journal on Mathematical Analysis.  40:2105-2131. 2009
2009 The Inverse Resonance Problem for Hermite OperatorsConstructive Approximation.  30:155-174. 2009
2009 The inverse resonance problem for hermite operatorsConstructive Approximation.  30:155-174. 2009
2009 On inverse problems for finite treesOperator Theory Advances and Applications.  186:31-48. 2009
2007 Stability for the inverse resonance problem for a Jacobi operator with complex potentialInverse Problems.  23:1677-1688. 2007
2006 An explicit characterization of calogero-moser systemsTransactions of the American Mathematical Society.  358:603-656. 2006
2005 A borg-levinson theorem for treesProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.  461:3231-3243. 2005
2005 Weak stability for an inverse Sturm-Liouville problem with finite spectral data and complex potentialInverse Problems.  21:1275-1290. 2005
2005 The inverse resonance problem for Jacobi operatorsBulletin of the London Mathematical Society.  37:727-737. 2005
2004 The inverse resonance problem for perturbations of algebro-geometric potentialsInverse Problems.  20:481-494. 2004
2003 On the inverse resonance problemJournal of the London Mathematical Society.  68:383-401. 2003
2002 On commuting matrix differential operatorsNew York Journal of Mathematics.  8:9-30. 2002
2002 A local Borg-Marchenko theorem for complex potentialsJournal of Computational and Applied Mathematics.  148:115-131. 2002
2000 On commuting differential operatorsElectronic Journal of Differential Equations.  2000. 2000
2000 On a Theorem of Halphen and its Application to Integrable SystemsJournal of Mathematical Analysis and Applications.  251:504-526. 2000
2000 Floquet theory for linear differential equations with meromorphic solutionsElectronic Journal of Qualitative Theory of Differential Equations.  1-6. 2000
1998 Elliptic algebro-geometric solutions of the KdV and AKNS hierarchies - An analytic approachBulletin (new series) of the American Mathematical Society.  35:271-317. 1998
1998 A characterization of all elliptic algebro-geometric solutions of the AKNS hierarchyActa Mathematica.  181:63-108. 1998
1998 On Hill's equation with a singular complex-valued potentialProceedings of the London Mathematical Society.  76:603-633. 1998
1998 On a theorem of HochstadtMathematische Annalen.  311:95-105. 1998
1998 Picard operatorsMathematical News / Mathematische Nachrichten.  195:251-266. 1998
1996 Picard potentials and Hill's equation on a torusActa Mathematica.  176:73-107. 1996
1995 A CHARACTERIZATION OF ELLIPTIC FINITE-GAP POTENTIALSComptes Rendus- Academie des Sciences Paris Serie 1.  321:837-841. 1995
1995 Treibich-Verdier potentials and the stationary (m)KDV hierarchyMathematische Zeitschrift.  219:451-476. 1995
1995 Lamé Potentials and the Stationary (m)KdV HierarchyMathematical News / Mathematische Nachrichten.  176:73-91. 1995
1995 On picard potentialsDifferential and Integral Equations.  8:1453-1476. 1995
1994 ON GELFAND–DICKEY AND DRINFELD–SOKOLOV SYSTEMSReviews in Mathematical Physics.  06:227-276. 1994
1994 Asymptotically correct lower bound for the sum of negative eigenvalues of schrödinger operators through a decomposition of unity given by mackeAsymptotic Analysis.  8:65-72. 1994
1993 On (modified) boussinesq-type systems and factorizations of associated linear differential expressionsJournal of the London Mathematical Society.  s2-47:321-340. 1993
1993 On Gelfand-Dickey Systems and Inelastic SolitonsMathematics in Science and Engineering.  192:325-333. 1993
1993 Spectral Deformations and Soliton EquationsMathematics in Science and Engineering.  192:101-139. 1993
1992 ON THE ABSENCE OF A 1ST ORDER CORRECTION FOR THE NUMBER OF BOUND-STATES OF A SCHRODINGER OPERATOR WITH COULOMB SINGULARITYCommunications in Partial Differential Equations.  17:615-639. 1992
1992 On the absence of a first order correction for the number of bound states of a schRÖdinger operator with coulomb singularityCommunications in Partial Differential Equations.  17:127-136. 1992
1992 Universal Behavior of the Ground State of Large AtomsMathematics in Science and Engineering.  186:281-293. 1992
1991 A new phase space localization technique with application to the sum of negative eigenvalues of Schrödinger operatorsAnnales Scientifiques de l'École Normale Supérieure.  24:215-225. 1991
1986 On some basic properties of density functionals for angular momentum channelsReports on Mathematical Physics.  24:193-218. 1986
Spectral Theory for Systems of Ordinary Differential Equations with Distributional Coefficients

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  • Education And Training

  • Doctor of Philosophy in Physics, Technical University of Braunschweig 1987
  • Full Name

  • Rudi Weikard