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Edward, Julian
Graduate Faculty
Positions
Professor
,
Mathematics and Statistics
,
College of Arts, Sciences & Education
edwardj@fiu.edu
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Overview
Publications
Research
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Overview
overview
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
Article
2026
An 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
2025
Exact 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
2025
Null-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
2024
SHAPE, 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
2023
CONTROLLABILITY 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
2022
Riesz 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
2022
Shape, 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
2022
The 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
2022
Institutionalizing 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
2022
SHAPE, 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
2021
AN 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
2021
Control 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
2020
An 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
2020
Regularity of solutions of quasi-linear elliptic equations with
L
log
m
L
coefficients
.
Journal of Differential Equations
. 268:5491-5515.
Full Text via DOI:
10.1016/j.jde.2019.11.037
Web of Science:
000514573100021
2019
CONTROLLABILITY 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
2018
EXACT 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
2017
Minimal 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
2016
Control 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
2015
The 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
2015
Existence problems for the
p
-Laplacian
.
Forum Mathematicum
. 27:1203-1225.
Full Text via DOI:
10.1515/forum-2012-0142
Web of Science:
000350643200022
2015
Minimal support results for Sehrodinger equations
.
Forum Mathematicum
. 27:343-371.
Full Text via DOI:
10.1515/forum-2012-0106
Web of Science:
000347788300014
2012
Voting 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
2010
THE 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
2009
Odd or Even: Assembly Size and Majority Rule
.
Journal of Politics
. 71:733-747.
Full Text via DOI:
10.1017/S0022381609090574
Web of Science:
000265617400025
2006
Ingham-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
2006
Internal null-controllability for a structurally damped beam equation
.
Asymptotic Analysis
. 47:55-83.
Web of Science:
000236714600004
2005
A 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
2004
Trapped 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
2004
The Pareto Efficiency and Expected Costs of k-Majority Rules
.
Politics, Philosophy and Economics
. 3:161-189.
Full Text via DOI:
10.1177/1470594X04042962
2002
On 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
2000
Eigenfunction 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
2000
Corrigendum 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
1999
Bounds 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
1999
Eigenfunction 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
1999
Spectra 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
1997
Spectral 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
1994
AN 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
1993
AN 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
1993
PRE-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
1991
DETERMINANT 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
1991
Determinant 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
Book
2013
The Calculus of Consent and Constitutional Design
2011
Calculus of Consent and Constitutional Design
Full Text via DOI:
10.1007/978-0-387-98171-0
Web of Science:
000290137100001
Book Chapter
2026
An inverse problem on a metric graph with cycle
. 115-127.
Full Text via DOI:
10.1515/9783111579313-003
2020
Spectral 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
Preprint
2025
An inverse problem on a metric graph with cycle
Full Text via DOI:
10.48550/arxiv.2508.10121
2023
Exact controllability for wave equation on general quantum graphs with non-smooth controls
Full Text via DOI:
10.48550/arxiv.2301.10269
2022
Exact Controllability for the Wave Equation on a Graph with Cycle and Delta-Prime Vertex Conditions
Full Text via DOI:
10.48550/arxiv.2210.03790
2019
Regularity of solutions of quasi-linear elliptic equations with $L\log^m L$ coefficients
Full Text via DOI:
10.48550/arxiv.1911.08622
2017
Exact controllability for string with attached masses
Full Text via DOI:
10.48550/arxiv.1712.01223
2013
Existence problems for the $p$-Laplacian
Full Text via DOI:
10.48550/arxiv.1302.4327
2013
Minimal support results for Schrödinger equations
Research
principal investigator on
Get Educators in Mathematics and Science (GEMS).
awarded by
National Science Foundation
2009 - 2013
Subproject for Institution 2642: A Proposal to Conduct a Hispanic-Serving Institutions Program at FIU
awarded by
U.S. Department of Education
2006 - 2007
co-principal investigator on
Grant
Collaborative for Instiutionalizing Scientific Learning at FIU
awarded by
Howard Hughes Medical Institute
2014 - 2021
Contact
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Julian
Edward
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