Evans M. Harrell - Publications

Affiliations: 
Georgia Institute of Technology, Atlanta, GA 
Area:
Mathematics

37 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2018 Harrell EM, Maltsev AV. On Agmon metrics and exponential localization for quantum graphs Communications in Mathematical Physics. 359: 429-448. DOI: 10.1007/S00220-018-3124-X  0.332
2016 El Soufi A, Harrell EM. On the placement of an obstacle so as to optimize the dirichlet heat trace Siam Journal On Mathematical Analysis. 48: 884-894. DOI: 10.1137/140957275  0.303
2014 Harrell EM, Stubbe J. Corrigendum to “On sums of graph eigenvalues” [Linear Algebra Appl. 455 (2014) 168–186] Linear Algebra and Its Applications. 458: 699-700. DOI: 10.1016/J.Laa.2014.06.020  0.315
2014 Harrell EM, Stubbe J. On sums of graph eigenvalues Linear Algebra and Its Applications. 455: 168-186. DOI: 10.1016/J.Laa.2014.05.001  0.349
2011 Harrell EM, Stubbe J. Trace identities for commutators, with applications to the distribution of eigenvalues Transactions of the American Mathematical Society. 363: 6385-6405. DOI: 10.1090/S0002-9947-2011-05252-9  0.427
2011 Harrell EM, Hermi L. On riesz means of eigenvalues Communications in Partial Differential Equations. 36: 1521-1543. DOI: 10.1080/03605302.2011.595865  0.393
2010 Demirel S, Harrell EM. On semiclassical and universal inequalities for eigenvalues of quantum graphs Reviews in Mathematical Physics. 22: 305-329. DOI: 10.1142/S0129055X10003965  0.357
2010 Harrell EM, Stubbe J. Universal bounds and semiclassical estimates for eigenvalues of abstract Schrödinger operators Siam Journal On Mathematical Analysis. 42: 2261-2274. DOI: 10.1137/090763743  0.4
2010 Harrell EM, Henrot A. On the maximization of a class of functionals on convex regions, and the characterization of the farthest convex set Mathematika. 56: 245-265. DOI: 10.1112/S0025579310000495  0.343
2009 Soufi AE, Harrell EM, Ilias S. Universal inequalities for the eigenvalues of Laplace and Schrödinger operators on submanifolds Transactions of the American Mathematical Society. 361: 2337-2350. DOI: 10.1090/S0002-9947-08-04780-6  0.391
2009 Harrell EM, Yildirim Yolcu S. Eigenvalue inequalities for Klein-Gordon operators Journal of Functional Analysis. 256: 3977-3995. DOI: 10.1016/J.Jfa.2008.12.008  0.422
2008 Harrell EM, Hermi L. Differential inequalities for Riesz means and Weyl-type bounds for eigenvalues Journal of Functional Analysis. 254: 3173-3191. DOI: 10.1016/J.Jfa.2008.02.016  0.312
2007 Harrell EM. Commutators, eigenvalue gaps, and mean curvature in the theory of Schrödinger operators Communications in Partial Differential Equations. 32: 401-413. DOI: 10.1080/03605300500532889  0.424
2007 Exner P, Fraas M, Harrell EM. On the critical exponent in an isoperimetric inequality for chords Physics Letters, Section a: General, Atomic and Solid State Physics. 368: 1-6. DOI: 10.1016/J.Physleta.2007.03.067  0.34
2006 Harrell EM. Geometric lower bounds for the spectrum of elliptic PDEs with Dirichlet conditions in part Journal of Computational and Applied Mathematics. 194: 26-35. DOI: 10.1016/J.Cam.2005.06.012  0.383
2006 Exner P, Harrell EM, Loss M. Inequalities for means of chords, with application to isoperimetric problems Letters in Mathematical Physics. 75: 225-233. DOI: 10.1007/S11005-006-0053-Y  0.353
2002 Harrell EM. A direct proof of a theorem of Blaschke and Lebesgue Journal of Geometric Analysis. 12: 81-88. DOI: 10.1007/Bf02930861  0.356
2001 Harrell EM, Kröger P, Kurata K. On the placement of an obstacle or a well so as to optimize the fundamental eigenvalue Siam Journal On Mathematical Analysis. 33: 240-259. DOI: 10.1137/S0036141099357574  0.33
1999 Exner P, Harrell EM, Loss M. Optimal Eigenvalues for Some Laplacians and Schrödinger Operators Depending on Curvature Operator Theory. 108: 47-58. DOI: 10.1007/978-3-0348-8745-8_4  0.384
1998 Harrell EM, Loss M. On the Laplace operator penalized by mean curvature Communications in Mathematical Physics. 195: 643-650. DOI: 10.1007/S002200050406  0.406
1997 Harrell EM, Stubbe J. On trace identities and universal eigenvalue estimates for some partial differential operators Transactions of the American Mathematical Society. 349: 1797-1809. DOI: 10.1090/S0002-9947-97-01846-1  0.412
1996 Harrell EM. On the second eigenvalue of the Laplace operator penalized by curvature Differential Geometry and Its Application. 6: 397-400. DOI: 10.1016/S0926-2245(96)00033-2  0.394
1994 Harrell EM, Michel PL. Commutator bounds for eigenvalues, with applications to spectral geometry Communications in Partial Differential Equations. 19: 2037-2055. DOI: 10.1080/03605309408821081  0.365
1993 Harrell EM. Some geometric bounds on eigenvalue gaps Communications in Partial Differential Equations. 18: 179-198. DOI: 10.1080/03605309308820926  0.373
1991 Ashbaugh MS, Harrell EM, Svirsky R. On minimal and maximal eigenvalue gaps and their causes Pacific Journal of Mathematics. 147: 1-24. DOI: 10.2140/Pjm.1991.147.1  0.346
1987 Ashbaugh MS, Harrell EM. Maximal and minimal eigenvalues and their associated nonlinear equations Journal of Mathematical Physics. 28: 1770-1786. DOI: 10.1063/1.527488  0.394
1987 Davies EB, Harrell EM. Conformally flat Riemannian metrics, Schrödinger operators, and semiclassical approximation Journal of Differential Equations. 66: 165-188. DOI: 10.1016/0022-0396(87)90030-1  0.367
1986 Cízek J, Damburg RJ, Graffi S, Grecchi V, Harrell EM, Harris JG, Nakai S, Paldus J, Propin RK, Silverstone HJ. 1/R expansion for H2 +: Calculation of exponentially small terms and asymptotics. Physical Review. A. 33: 12-54. PMID 9896581 DOI: 10.1103/Physreva.33.12  0.312
1986 Harrell EM, Svirsky R. Potentials producing maximally sharp resonances Transactions of the American Mathematical Society. 293: 723-736. DOI: 10.1090/S0002-9947-1986-0816321-1  0.351
1985 Graffi S, Grecchi V, Harrell EM, Silverstone HJ. The 1 R expansion for H2 +: Analyticity, summability, and asymptotics Annals of Physics. 165: 441-483. DOI: 10.1016/0003-4916(85)90305-7  0.311
1984 Harrell EM. Hamiltonian operators with maximal eigenvalues Journal of Mathematical Physics. 25: 48-51. DOI: 10.1063/1.525996  0.35
1982 Ashbaugh MS, Harrell EM. Perturbation theory for shape resonances and large barrier potentials Communications in Mathematical Physics. 83: 151-170. DOI: 10.1007/Bf01976039  0.366
1982 Harrell EM. General lower bounds for resonances in one dimension Communications in Mathematical Physics. 86: 221-225. DOI: 10.1007/Bf01206011  0.38
1980 Harrell EM. Double Wells Communications in Mathematical Physics. 75: 239-261. DOI: 10.1007/BF01212711  0.301
1979 Harrell EM. The band-structure of a one-dimensional, periodic system in a scaling limit Annals of Physics. 119: 351-369. DOI: 10.1016/0003-4916(79)90191-X  0.323
1978 Harrell EM. On the rate of asymptotic eigenvalue degeneracy Communications in Mathematical Physics. 60: 73-95. DOI: 10.1007/Bf01609474  0.358
1977 Harrell EM. Singular perturbation potentials Annals of Physics. 105: 379-406. DOI: 10.1016/0003-4916(77)90246-9  0.395
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