Browse
Browse
Home
People
Organizations
Research
Events
Capability Map
Rudi Weikard
Professor
Close
E-mail
weikard@uab.edu
Visualizations
Co-author Network
Map of Science
Co-investigator Network
Rudi Weikard
Professor
Positions
Professor (P)
,
Mathematics
,
College of Arts and Sciences
Department Chairperson
,
Mathematics
,
College of Arts and Sciences
Publications
Research
Teaching
Background
Contact
Publications
Selected Publications
Academic Article
Filter
Year
Title
Altmetric
2022
Sign-changing points of solutions of homogeneous Sturm–Liouville equations with measure-valued coefficients
2022
2021
On the spectral theory for first-order systems without the unique continuation property
.
Linear and Multilinear Algebra
. 69:2315-2323.
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
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
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
Stability for the inverse resonance problem for the CMV operator
Research
Principal Investigator On
On Relativistic and Non-Relativistic Fermi Systems
awarded by
NSF - National Science Foundation
Special Session on Mathematical Relativity at CADS 5
awarded by
NSF - National Science Foundation
Investigator On
Doctoral Fellowships in Applied Mathematics at the University of Alabama at Birmingham
awarded by
Department of Education
Teaching
Teaching Activities
MA226 - Calculus II - Honors (Spring Term 2021)
MA227 - Calculus III (Fall Term 2007)
MA227 - Calculus III (Fall Term 2009)
MA227 - Calculus III (Summer Term 2021)
MA434 - Algebra I: Linear (Fall Term 2020)
MA440 - Advanced Calculus I (Fall Term 2011)
MA440 - Advanced Calculus I (Fall Term 2012)
MA440 - Advanced Calculus I (Fall Term 2015)
MA441 - Advanced Calculus II (Spring Term 2012)
MA441 - Advanced Calculus II (Spring Term 2013)
MA441 - Advanced Calculus II (Spring Term 2016)
MA454 - Interm Differential Equations (Spring Term 2020)
MA534 - Algebra I: Linear (Fall Term 2020)
MA540 - Advanced Calculus I (Fall Term 2011)
MA540 - Advanced Calculus I (Fall Term 2012)
MA540 - Advanced Calculus I (Fall Term 2015)
MA541 - Advanced Calculus II (Spring Term 2012)
MA541 - Advanced Calculus II (Spring Term 2013)
MA541 - Advanced Calculus II (Spring Term 2016)
MA554 - Interm Differential Equations (Spring Term 2020)
MA630 - Algebra I (Fall Term 2010)
MA642 - Calculus of Several Variables (Summer Term 2021)
MA645 - Real Analysis I (Fall Term 2008)
MA645 - Real Analysis I (Fall Term 2014)
MA645 - Real Analysis I (Fall Term 2017)
MA645 - Real Analysis I (Fall Term 2018)
MA645 - Real Analysis I (Fall Term 2019)
MA645 - Real Analysis I (Fall Term 2021)
MA646 - Real Analysis II (Spring Term 2009)
MA646 - Real Analysis II (Spring Term 2015)
MA646 - Real Analysis II (Spring Term 2018)
MA646 - Real Analysis II (Spring Term 2019)
MA646 - Real Analysis II (Spring Term 2020)
MA646 - Real Analysis II (Spring Term 2022)
MA648 - Complex Analysis (Fall Term 2013)
MA648 - Complex Analysis (Fall Term 2016)
MA648 - Complex Analysis (Fall Term 2019)
MA648 - Complex Analysis (Fall Term 2020)
MA648 - Complex Analysis (Spring Term 2014)
MA691 - Mathematics Seminar (Spring Term 2010)
MA692 - Special Topics in Mathematics (Spring Term 2015)
MA692 - Special Topics in Mathematics (Spring Term 2018)
MA692 - Special Topics in Mathematics (Summer Term 2019)
MA693 - Special Topics in Mathematics (Fall Term 2014)
MA693 - Special Topics in Mathematics (Spring Term 2014)
MA693 - Special Topics in Mathematics (Spring Term 2022)
MA693 - Special Topics in Mathematics (Summer Term 2018)
MA694 - Special Topics in Mathematics (Fall Term 2014)
MA694 - Special Topics in Mathematics (Summer Term 2013)
MA696 - Special Topics in Mathematics (Summer Term 2011)
MA697 - Special Topics in Mathematics (Spring Term 2010)
MA697 - Special Topics in Mathematics (Summer Term 2009)
MA698 - M Lev Non-Thesis Res (Summer Term 2014)
MA698 - M Lev Non-Thesis Res (Summer Term 2016)
MA790 - Mathematics Seminar (Spring Term 2008)
MA792 - Special Topics in Mathematics (Fall Term 2021)
MA793 - Special Topics in Mathematics (Fall Term 2019)
MA793 - Special Topics in Mathematics (Summer Term 2019)
MA794 - Special Topics in Mathematics (Spring Term 2020)
MA797 - Special Topics in Mathematics (Summer Term 2008)
MA797 - Special Topics in Mathematics (Summer Term 2010)
MA798 - Non-Diss Research/Comp Prep (Fall Term 2007)
MA798 - Non-Diss Research/Comp Prep (Fall Term 2008)
MA798 - Non-Diss Research/Comp Prep (Fall Term 2009)
MA798 - Non-Diss Research/Comp Prep (Fall Term 2010)
MA798 - Non-Diss Research/Comp Prep (Fall Term 2015)
MA798 - Non-Diss Research/Comp Prep (Fall Term 2016)
MA798 - Non-Diss Research/Comp Prep (Fall Term 2019)
MA798 - Non-Diss Research/Comp Prep (Fall Term 2020)
MA798 - Non-Diss Research/Comp Prep (Fall Term 2021)
MA798 - Non-Diss Research/Comp Prep (Spring Term 2009)
MA798 - Non-Diss Research/Comp Prep (Spring Term 2010)
MA798 - Non-Diss Research/Comp Prep (Spring Term 2011)
MA798 - Non-Diss Research/Comp Prep (Spring Term 2015)
MA798 - Non-Diss Research/Comp Prep (Spring Term 2016)
MA798 - Non-Diss Research/Comp Prep (Spring Term 2017)
MA798 - Non-Diss Research/Comp Prep (Spring Term 2019)
MA798 - Non-Diss Research/Comp Prep (Spring Term 2020)
MA798 - Non-Diss Research/Comp Prep (Spring Term 2021)
MA798 - Non-Diss Research/Comp Prep (Spring Term 2022)
MA798 - Non-Diss Research/Comp Prep (Summer Term 2008)
MA798 - Non-Diss Research/Comp Prep (Summer Term 2015)
MA798 - Non-Diss Research/Comp Prep (Summer Term 2016)
MA798 - Non-Diss Research/Comp Prep (Summer Term 2018)
MA798 - Non-Diss Research/Comp Prep (Summer Term 2019)
MA798 - Non-Diss Research/Comp Prep (Summer Term 2020)
MA798 - Non-Diss Research/Comp Prep (Summer Term 2021)
MA799 - Dissertation Research (Fall Term 2009)
MA799 - Dissertation Research (Fall Term 2010)
MA799 - Dissertation Research (Fall Term 2011)
MA799 - Dissertation Research (Fall Term 2012)
MA799 - Dissertation Research (Fall Term 2017)
MA799 - Dissertation Research (Fall Term 2021)
MA799 - Dissertation Research (Spring Term 2010)
MA799 - Dissertation Research (Spring Term 2012)
MA799 - Dissertation Research (Spring Term 2013)
MA799 - Dissertation Research (Spring Term 2018)
MA799 - Dissertation Research (Spring Term 2021)
MA799 - Dissertation Research (Spring Term 2022)
MA799 - Dissertation Research (Summer Term 2009)
MA799 - Dissertation Research (Summer Term 2010)
MA799 - Dissertation Research (Summer Term 2011)
MA799 - Dissertation Research (Summer Term 2012)
MA799 - Dissertation Research (Summer Term 2017)
MA799 - Dissertation Research (Summer Term 2018)
MA799 - Dissertation Research (Summer Term 2021)
Background
Education And Training
Doctor of Philosophy in Physics,
Technical University of Braunschweig
1987
Contact
Full Name
Rudi
Weikard