Weikard, Rudi

Weikard, Rudi
Professor

Professor (P), Mathematics , College of Arts and Sciences 2011 -
Department Chairperson, Mathematics , College of Arts and Sciences 2011 -

Selected Publications

Academic Article

Year	Title	Altmetric
2019	Donoghue-type m-functions for Schrödinger operators with operator-valued potentials. Journal d'Analyse Mathématique. 137:373-427. 2019
2019	On the spectral theory for first-order systems without the unique continuation property. Linear and Multilinear Algebra. 2019
2017	On Leighton's comparison theorem. Journal of Differential Equations. 262:5978-5989. 2017
2016	The spectral problem for the dispersionless camassa-holm equation. Operator Theory Advances and Applications. 255:67-90. 2016
2015	The inverse resonance problem for left-definite Sturm-Liouville operators. Journal of Mathematical Analysis and Applications. 423:1753-1773. 2015
2014	Some remarks on the spectral problem underlying the camassa-holm hierarchy. Operator Theory Advances and Applications. 240:137-188. 2014
2013	Initial value problems and Weyl-Titchmarsh theory for Schrödinger operators with operator-valued potentials. Operators and Matrices. 7:241-283. 2013
2013	On a class of model hilbert spaces. Discrete and Continuous Dynamical Systems - Series A. 33:5067-5088. 2013
2013	On spectral theory for Schrödinger operators with operator-valued potentials. Journal of Differential Equations. 255:1784-1827. 2013
2013	On inverse problems for left-definite discrete Sturm-Liouville equations. Operators 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 problem. Journal of Differential Equations. 253:2380-2419. 2012
2012	A uniqueness result for one-dimensional inverse scattering. Mathematical News / Mathematische Nachrichten. 285:941-948. 2012
2012	On the inverse resonance problemfor Jacobi operators-uniqueness and stability. Journal d'Analyse Mathématique. 117:221-247. 2012
2010	The inverse resonance problem for CMV operators. Inverse Problems. 26. 2010
2010	On the inverse resonance problem for schrödinger operators. Communications in Mathematical Physics. 295:465-484. 2010
2009	Inverse spectral and scattering theory for the half-line left-definite sturm-liouville problem. SIAM Journal on Mathematical Analysis. 40:2105-2131. 2009
2009	The Inverse Resonance Problem for Hermite Operators. Constructive Approximation. 30:155-174. 2009
2009	The inverse resonance problem for hermite operators. Constructive Approximation. 30:155-174. 2009
2009	On inverse problems for finite trees. Operator Theory Advances and Applications. 186:31-48. 2009
2007	Stability for the inverse resonance problem for a Jacobi operator with complex potential. Inverse Problems. 23:1677-1688. 2007
2006	An explicit characterization of calogero-moser systems. Transactions of the American Mathematical Society. 358:603-656. 2006
2005	A borg-levinson theorem for trees. Proceedings 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 potential. Inverse Problems. 21:1275-1290. 2005
2005	The inverse resonance problem for Jacobi operators. Bulletin of the London Mathematical Society. 37:727-737. 2005
2004	The inverse resonance problem for perturbations of algebro-geometric potentials. Inverse Problems. 20:481-494. 2004
2003	On the inverse resonance problem. Journal of the London Mathematical Society. 68:383-401. 2003
2002	On commuting matrix differential operators. New York Journal of Mathematics. 8:9-30. 2002
2002	A local Borg-Marchenko theorem for complex potentials. Journal of Computational and Applied Mathematics. 148:115-131. 2002
2000	On commuting differential operators. Electronic Journal of Differential Equations. 2000. 2000
2000	On a Theorem of Halphen and its Application to Integrable Systems. Journal of Mathematical Analysis and Applications. 251:504-526. 2000
2000	Floquet theory for linear differential equations with meromorphic solutions. Electronic Journal of Qualitative Theory of Differential Equations. 1-6. 2000
1998	Elliptic algebro-geometric solutions of the KdV and AKNS hierarchies - An analytic approach. Bulletin (new series) of the American Mathematical Society. 35:271-317. 1998
1998	A characterization of all elliptic algebro-geometric solutions of the AKNS hierarchy. Acta Mathematica. 181:63-108. 1998
1998	On Hill's equation with a singular complex-valued potential. Proceedings of the London Mathematical Society. 76:603-633. 1998
1998	On a theorem of Hochstadt. Mathematische Annalen. 311:95-105. 1998
1998	Picard operators. Mathematical News / Mathematische Nachrichten. 195:251-266. 1998
1996	Picard potentials and Hill's equation on a torus. Acta Mathematica. 176:73-107. 1996
1995	A CHARACTERIZATION OF ELLIPTIC FINITE-GAP POTENTIALS. Comptes Rendus- Academie des Sciences Paris Serie 1. 321:837-841. 1995
1995	Treibich-Verdier potentials and the stationary (m)KDV hierarchy. Mathematische Zeitschrift. 219:451-476. 1995
1995	Lamé Potentials and the Stationary (m)KdV Hierarchy. Mathematical News / Mathematische Nachrichten. 176:73-91. 1995
1995	On picard potentials. Differential and Integral Equations. 8:1453-1476. 1995
1994	ON GELFAND–DICKEY AND DRINFELD–SOKOLOV SYSTEMS. Reviews 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 macke. Asymptotic Analysis. 8:65-72. 1994
1993	On (modified) boussinesq-type systems and factorizations of associated linear differential expressions. Journal of the London Mathematical Society. s2-47:321-340. 1993
1993	On Gelfand-Dickey Systems and Inelastic Solitons. Mathematics in Science and Engineering. 192:325-333. 1993
1993	Spectral Deformations and Soliton Equations. Mathematics 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 SINGULARITY. Communications 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 singularity. Communications in Partial Differential Equations. 17:127-136. 1992
1992	Universal Behavior of the Ground State of Large Atoms. Mathematics 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. Annales Scientifiques de l'École Normale Supérieure. 24:215-225. 1991
1986	On some basic properties of density functionals for angular momentum channels. Reports on Mathematical Physics. 24:193-218. 1986
	Sign-Changing Points of Solutions of Homogeneous Sturm-Liouville Equations with Measure-Valued Coefficients