Positions

Selected Publications

Academic Article

Year Title Altmetric
2020 Spectral theory for systems of ordinary differential equations with distributional coefficientsJournal of Differential Equations.  268:2752-2801. 2020
2019 Donoghue-type m-functions for Schrödinger operators with operator-valued potentials 2019
2019 On the spectral theory for first-order systems without the unique continuation propertyLinear and Multilinear Algebra2019
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 spaces 2013
2013 On spectral theory for Schrödinger operators with operator-valued potentialsJournal of Differential Equations.  255:1784-1827. 2013
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 scattering 2012
2012 On the inverse resonance problemfor Jacobi operators-uniqueness and stability 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 problem 2003
2002 On commuting matrix differential operators 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 A characterization of all elliptic algebro-geometric solutions of the AKNS hierarchyActa Mathematica.  181:63-108. 1998
1998 Elliptic algebro-geometric solutions of the KdV and AKNS hierarchies - An analytic approach 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 operators 1998
1996 Picard potentials and Hill's equation on a torusActa Mathematica.  176:73-107. 1996
1995 A CHARACTERIZATION OF ELLIPTIC FINITE-GAP POTENTIALS 1995
1995 Treibich-Verdier potentials and the stationary (m)KDV hierarchyMathematische Zeitschrift.  219:451-476. 1995
1995 Lamé Potentials and the Stationary (m)KdV Hierarchy 1995
1995 On picard potentials 1995
1994 ON GELFAND–DICKEY AND DRINFELD–SOKOLOV SYSTEMS 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 expressions 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 operators 1991
1986 On some basic properties of density functionals for angular momentum channelsReports on Mathematical Physics.  24:193-218. 1986
Sign-Changing Points of Solutions of Homogeneous Sturm-Liouville Equations with Measure-Valued Coefficients

Teaching Activities

  • MA798 - Non-Diss Research/Comp Prep (Summer Term 2020) 2020
  • MA454 - Interm Differential Equations (Spring Term 2020) 2020
  • MA554 - Interm Differential Equations (Spring Term 2020) 2020
  • MA646 - Real Analysis II (Spring Term 2020) 2020
  • MA794 - Special Topics in Mathematics (Spring Term 2020) 2020
  • MA798 - Non-Diss Research/Comp Prep (Spring Term 2020) 2020
  • MA645 - Real Analysis I (Fall Term 2019) 2019
  • MA648 - Complex Analysis (Fall Term 2019) 2019
  • MA793 - Special Topics in Mathematics (Fall Term 2019) 2019
  • MA798 - Non-Diss Research/Comp Prep (Fall Term 2019) 2019
  • MA692 - Special Topics in Mathematics (Summer Term 2019) 2019
  • MA793 - Special Topics in Mathematics (Summer Term 2019) 2019
  • MA798 - Non-Diss Research/Comp Prep (Summer Term 2019) 2019
  • MA646 - Real Analysis II (Spring Term 2019) 2019
  • MA798 - Non-Diss Research/Comp Prep (Spring Term 2019) 2019
  • MA645 - Real Analysis I (Fall Term 2018) 2018
  • MA693 - Special Topics in Mathematics (Summer Term 2018) 2018
  • MA798 - Non-Diss Research/Comp Prep (Summer Term 2018) 2018
  • MA799 - Dissertation Research (Summer Term 2018) 2018
  • MA646 - Real Analysis II (Spring Term 2018) 2018
  • MA692 - Special Topics in Mathematics (Spring Term 2018) 2018
  • MA799 - Dissertation Research (Spring Term 2018) 2018
  • MA645 - Real Analysis I (Fall Term 2017) 2017
  • MA799 - Dissertation Research (Fall Term 2017) 2017
  • MA799 - Dissertation Research (Summer Term 2017) 2017
  • MA798 - Non-Diss Research/Comp Prep (Spring Term 2017) 2017
  • MA648 - Complex Analysis (Fall Term 2016) 2016
  • MA798 - Non-Diss Research/Comp Prep (Fall Term 2016) 2016
  • MA698 - M Lev Non-Thesis Res (Summer Term 2016) 2016
  • MA798 - Non-Diss Research/Comp Prep (Summer Term 2016) 2016
  • MA441 - Advanced Calculus II (Spring Term 2016) 2016
  • MA541 - Advanced Calculus II (Spring Term 2016) 2016
  • MA798 - Non-Diss Research/Comp Prep (Spring Term 2016) 2016
  • MA440 - Advanced Calculus I (Fall Term 2015) 2015
  • MA540 - Advanced Calculus I (Fall Term 2015) 2015
  • MA798 - Non-Diss Research/Comp Prep (Fall Term 2015) 2015
  • MA798 - Non-Diss Research/Comp Prep (Summer Term 2015) 2015
  • MA646 - Real Analysis II (Spring Term 2015) 2015
  • MA692 - Special Topics in Mathematics (Spring Term 2015) 2015
  • MA798 - Non-Diss Research/Comp Prep (Spring Term 2015) 2015
  • MA645 - Real Analysis I (Fall Term 2014) 2014
  • MA693 - Special Topics in Mathematics (Fall Term 2014) 2014
  • MA694 - Special Topics in Mathematics (Fall Term 2014) 2014
  • MA698 - M Lev Non-Thesis Res (Summer Term 2014) 2014
  • MA648 - Complex Analysis (Spring Term 2014) 2014
  • MA693 - Special Topics in Mathematics (Spring Term 2014) 2014
  • MA648 - Complex Analysis (Fall Term 2013) 2013
  • MA694 - Special Topics in Mathematics (Summer Term 2013) 2013
  • MA441 - Advanced Calculus II (Spring Term 2013) 2013
  • MA541 - Advanced Calculus II (Spring Term 2013) 2013
  • MA799 - Dissertation Research (Spring Term 2013) 2013
  • MA440 - Advanced Calculus I (Fall Term 2012) 2012
  • MA540 - Advanced Calculus I (Fall Term 2012) 2012
  • MA799 - Dissertation Research (Fall Term 2012) 2012
  • MA799 - Dissertation Research (Summer Term 2012) 2012
  • MA441 - Advanced Calculus II (Spring Term 2012) 2012
  • MA541 - Advanced Calculus II (Spring Term 2012) 2012
  • MA799 - Dissertation Research (Spring Term 2012) 2012
  • MA440 - Advanced Calculus I (Fall Term 2011) 2011
  • MA540 - Advanced Calculus I (Fall Term 2011) 2011
  • MA799 - Dissertation Research (Fall Term 2011) 2011
  • MA696 - Special Topics in Mathematics (Summer Term 2011) 2011
  • MA799 - Dissertation Research (Summer Term 2011) 2011
  • MA798 - Non-Diss Research/Comp Prep (Spring Term 2011) 2011
  • MA630 - Algebra I (Fall Term 2010) 2010
  • MA798 - Non-Diss Research/Comp Prep (Fall Term 2010) 2010
  • MA799 - Dissertation Research (Fall Term 2010) 2010
  • MA797 - Special Topics in Mathematics (Summer Term 2010) 2010
  • MA799 - Dissertation Research (Summer Term 2010) 2010
  • MA691 - Mathematics Seminar (Spring Term 2010) 2010
  • MA697 - Special Topics in Mathematics (Spring Term 2010) 2010
  • MA798 - Non-Diss Research/Comp Prep (Spring Term 2010) 2010
  • MA799 - Dissertation Research (Spring Term 2010) 2010
  • MA227 - Calculus III (Fall Term 2009) 2009
  • MA798 - Non-Diss Research/Comp Prep (Fall Term 2009) 2009
  • MA799 - Dissertation Research (Fall Term 2009) 2009
  • MA697 - Special Topics in Mathematics (Summer Term 2009) 2009
  • MA799 - Dissertation Research (Summer Term 2009) 2009
  • MA646 - Real Analysis II (Spring Term 2009) 2009
  • MA798 - Non-Diss Research/Comp Prep (Spring Term 2009) 2009
  • MA645 - Real Analysis I (Fall Term 2008) 2008
  • MA798 - Non-Diss Research/Comp Prep (Fall Term 2008) 2008
  • MA797 - Special Topics in Mathematics (Summer Term 2008) 2008
  • MA798 - Non-Diss Research/Comp Prep (Summer Term 2008) 2008
  • MA790 - Mathematics Seminar (Spring Term 2008) 2008
  • MA227 - Calculus III (Fall Term 2007) 2007
  • MA798 - Non-Diss Research/Comp Prep (Fall Term 2007) 2007
  • Education And Training

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

  • Rudi Weikard