Overview
overview
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Julian Edward is a Professor in Mathematics and Statistics.
Massachusetts Institute of Technology, Cambridge, Massachusetts. PhD in Mathematics, June 1989.
McGill University, Montreal, Quebec. BA in Mathematics, Spring 1985.
Publications
selected scholarly works & creative activities
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Article
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2026An extension of the spectral fractional Laplacian to non-homogeneous boundary condition on rectangular domains, with application to well-posedness for plate equation with structural damping. Journal of Mathematical Analysis and Applications. 556.Full Text via DOI: 10.1016/j.jmaa.2025.130073 Web of Science: 001585806200001
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2025Exact Controllability for Wave Equation on General Metric Graphs with Non-smooth Controls. Applied Mathematics and Optimization. 92.Full Text via DOI: 10.1007/s00245-025-10329-4 Web of Science: 001590333700001
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2025Null-controllability for the beam equation with structural damping. Part 1. Distributed control. Journal of Differential Equations. 421:73-103.Full Text via DOI: 10.1016/j.jde.2024.11.052 Web of Science: 001377225300001
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2024SHAPE, VELOCITY, AND EXACT CONTROLLABILITY FOR THE WAVE EQUATION ON A GRAPH WITH CYCLE. St. Petersburg Mathematical Journal. 35:1-23.Full Text via DOI: 10.1090/spmj/1791 Web of Science: 001204542700001
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2023CONTROLLABILITY FOR THE WAVE EQUATION ON GRAPH WITH CYCLE AND DELTA-PRIME VERTEX CONDITIONS. Evolution Equations and Control Theory. 12:1542-1558.Full Text via DOI: 10.3934/eect.2023025 Web of Science: 000998738400001
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2022Riesz bases by replacement. Sampling Theory, Signal Processing, and Data Analysis. 20.Full Text via DOI: 10.1007/s43670-022-00025-7 Web of Science: 001278944600004
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2022Shape, Velocity, and Exact Controllability for the Wave Equation. Journal of Optimization, Differential Equations and their Applications. 30:122-140.Full Text via DOI: 10.15421/142212
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2022The effect of unconditional preferences on Sen's paradox. Theory and Decision. 93:427-447.Full Text via DOI: 10.1007/s11238-021-09863-8 Web of Science: 000740635900001
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2022Institutionalizing evidence-based STEM reform through faculty professional development and support structures. International Journal of STEM Education. 9.Full Text via DOI: 10.1186/s40594-022-00353-z Web of Science: 000794875100001
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2022SHAPE, VELOCITY, AND EXACT CONTROLLABILITY FOR THE WAVE EQUATION. Journal of Optimization, Differential Equations and their Applications. 30:122-140.Full Text via DOI: 10.15421/142207
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2021AN INVERSE PROBLEM FOR QUANTUM TREES WITH OBSERVATIONS AT INTERIOR VERTICES. Networks and Heterogeneous Media. 16:317-339.Full Text via DOI: 10.3934/nhm.2021008 Web of Science: 000637400800006
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2021Control and inverse problems for the heat equation with strong singularities. Systems & control letters (Print). 148.Full Text via DOI: 10.1016/j.sysconle.2020.104852 Web of Science: 000671842900010
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2020An Inverse Problem for Quantum Trees with Delta-Prime Vertex Conditions. Vibration. 3:448-463.Full Text via DOI: 10.3390/vibration3040028 Web of Science: 000669895500006
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2020Regularity of solutions of quasi-linear elliptic equations with L logm L coefficients. Journal of Differential Equations. 268:5491-5515.Full Text via DOI: 10.1016/j.jde.2019.11.037 Web of Science: 000514573100021
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2019CONTROLLABILITY FOR A STRING WITH ATTACHED MASSES AND RIESZ BASES FOR ASYMMETRIC SPACES. Mathematical Control and Related Fields. 9:453-494.Full Text via DOI: 10.3934/mcrf.2019021 Web of Science: 000465287600003
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2018EXACT CONTROLLABILITY FOR STRING WITH ATTACHED MASSES. SIAM Journal of Control and Optimization. 56:945-980.Full Text via DOI: 10.1137/15M1029333 Web of Science: 000429992600015
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2017Minimal potential results for Schrodinger equations with Neumann boundary conditions. Forum Mathematicum. 29:1337-1348.Full Text via DOI: 10.1515/forum-2015-0082 Web of Science: 000414320100008
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2016Control and inverse problems for networks of vibrating strings with attached masses. Nanosystems: Physics, Chemistry, Mathematics. 7:835-841.Full Text via DOI: 10.17586/2220-8054-2016-7-5-835-841 Web of Science: 000387463700005
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2015The value of formalism: re-examining external costs and decision costs with multiple groups. Public Choice. 163:31-52.Full Text via DOI: 10.1007/s11127-014-0191-1 Web of Science: 000352698400004
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2015Existence problems for the p-Laplacian. Forum Mathematicum. 27:1203-1225.Full Text via DOI: 10.1515/forum-2012-0142 Web of Science: 000350643200022
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2015Minimal support results for Sehrodinger equations. Forum Mathematicum. 27:343-371.Full Text via DOI: 10.1515/forum-2012-0106 Web of Science: 000347788300014
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2012Voting for Pareto optimality: a multidimensional analysis. Public Choice. 151:655-678.Full Text via DOI: 10.1007/s11127-011-9763-5 Web of Science: 000297818800012
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2010THE PROPERTIES OF SIMPLE VS. ABSOLUTE MAJORITY RULE: CASES WHERE ABSENCES AND ABSTENTIONS ARE IMPORTANT. Journal of Theoretical Politics. 22:85-122.Full Text via DOI: 10.1177/0951629809347557 Web of Science: 000274118900004
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2009Odd or Even: Assembly Size and Majority Rule. Journal of Politics. 71:733-747.Full Text via DOI: 10.1017/S0022381609090574 Web of Science: 000265617400025
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2006Ingham-type inequalities for complex frequencies and applications to control theory. Journal of Mathematical Analysis and Applications. 324:941-954.Full Text via DOI: 10.1016/j.jmaa.2005.12.074 Web of Science: 000241752600016
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2006Internal null-controllability for a structurally damped beam equation. Asymptotic Analysis. 47:55-83.Web of Science: 000236714600004
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2005A nonequilibrium analysis of unanimity rule, majority rule, and Pareto. Economic Inquiry. 43:855-864.Full Text via DOI: 10.1093/ei/cbi063 Web of Science: 000232351000013
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2004Trapped modes for periodic structures in waveguides. Mathematical Methods in the Applied Sciences. 27:91-99.Full Text via DOI: 10.1002/mma.441 Web of Science: 000187933300007
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2004The Pareto Efficiency and Expected Costs of k-Majority Rules. Politics, Philosophy and Economics. 3:161-189.Full Text via DOI: 10.1177/1470594X04042962
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2002On the resonances of the Laplacian on waveguides. Journal of Mathematical Analysis and Applications. 272:89-116.Full Text via DOI: 10.1016/S0022-247X(02)00137-3 Web of Science: 000178468500008
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2000Eigenfunction decay for the Neumann Laplacian on horn-like domains. Canadian Mathematical Bulletin. 43:51-59.Full Text via DOI: 10.4153/CMB-2000-007-4 Web of Science: 000090025900007
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2000Corrigendum to ``Spectral Theory for the Neumann Laplacian on Planar Domains with Horn-Like Ends''. Canadian Journal of Mathematics. 52:119-122.Full Text via DOI: 10.4153/cjm-2000-005-x
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1999Bounds on resonances for the Laplacian on perturbations of half-space. SIAM Journal on Mathematical Analysis. 30:1175-1184.Full Text via DOI: 10.1137/S003614109733172X Web of Science: 000083495400001
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1999Eigenfunction decay and eigenvalue accumulation for the Laplacian on asymptotically perturbed waveguides. Journal of the London Mathematical Society. 59:620-636.Full Text via DOI: 10.1112/S0024610799007243 Web of Science: 000082452100017
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1999Spectra of Schrodinger operators on planar domains with ends with unbounded cross-section. Mathematical Methods in the Applied Sciences. 22:139-169.Full Text via DOI: 10.1002/(SICI)1099-1476(19990125)22:2<139::AID-MMA29>3.0.CO;2-H Web of Science: 000078444200004
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1997Spectral theory for the Neumann Laplacian on planar domains with horn-like ends. Canadian Journal of Mathematics. 49:232-262.Full Text via DOI: 10.4153/CJM-1997-012-8 Web of Science: A1997XA75700003
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1994AN INEQUALITY FOR STEKLOV EIGENVALUES FOR PLANAR DOMAINS. Zeitschrift für Angewandte Mathematik und Physik. 45:493-496.Full Text via DOI: 10.1007/BF00945933 Web of Science: A1994NT26600009
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1993AN INVERSE SPECTRAL RESULT FOR THE NEUMANN OPERATOR ON PLANAR DOMAINS. Journal of Functional Analysis. 111:312-322.Full Text via DOI: 10.1006/jfan.1993.1015 Web of Science: A1993KM21300004
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1993PRE-COMPACTNESS OF ISOSPECTRAL SETS FOR THE NEUMANN OPERATOR ON PLANAR DOMAINS. Communications in Partial Differential Equations. 18:1249-1270.Full Text via DOI: 10.1080/03605309308820973 Web of Science: A1993LV73600010
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1991DETERMINANT OF THE NEUMANN OPERATOR ON SMOOTH JORDAN CURVES. Proceedings of the American Mathematical Society. 111:357-363.Full Text via DOI: 10.2307/2048324 Web of Science: A1991EX48000008
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1991Determinant of the neumann operator on smooth jordan curves. Proceedings of the American Mathematical Society. 111:357-363.Full Text via DOI: 10.1090/S0002-9939-1991-1031662-0
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Book
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2011Calculus of Consent and Constitutional DesignFull Text via DOI: 10.1007/978-0-387-98171-0 Web of Science: 000290137100001
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Book Chapter
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2026An inverse problem on a metric graph with cycle. 115-127.Full Text via DOI: 10.1515/9783111579313-003
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2020Spectral clusters, asymmetric spaces, and boundary control for schrödinger equation with strong singularities. 94-119.Full Text via DOI: 10.1007/978-3-030-31531-3_9
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Preprint
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2017Exact controllability for string with attached massesFull Text via DOI: 10.48550/arxiv.1712.01223
Research
principal investigator on
co-principal investigator on
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Grant
- Collaborative for Instiutionalizing Scientific Learning at FIU awarded by Howard Hughes Medical Institute 2014 - 2021
Contact
full name
- Julian Edward
