Rudi Weikard

Rudi Weikard
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
2021	Sign-changing points of solutions of homogeneous Sturm–Liouville equations with measure-valued coefficients 2021
2020	Spectral theory for systems of ordinary differential equations with distributional coefficients. Journal 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 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 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 2012
2012	On the inverse resonance problemfor Jacobi operators-uniqueness and stability 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 2003
2002	On commuting matrix differential operators 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	A characterization of all elliptic algebro-geometric solutions of the AKNS hierarchy. Acta 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 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 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 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 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 macke. Asymptotic 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 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 1991
1986	On some basic properties of density functionals for angular momentum channels. Reports on Mathematical Physics. 24:193-218. 1986