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Jeremy L. Marzuola, Ph.D. - Publications

Affiliations: 
2007 University of California, Berkeley, Berkeley, CA, United States 
Area:
Partial differential equations
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46 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
2020 Gao Y, Liu J, Lu J, Marzuola JL. Analysis of a continuum theory for broken bond crystal surface models with evaporation and deposition effects Nonlinearity. 33: 3816-3845. DOI: 10.1088/1361-6544/Ab853D  0.36
2019 Borthwick D, Donninger R, Lenzmann E, Marzuola JL. Existence and Stability of Schrödinger Solitons on Noncompact Manifolds Siam Journal On Mathematical Analysis. 51: 3854-3901. DOI: 10.1137/18M1216031  0.476
2019 Liu J, Lu J, Margetis D, Marzuola JL. Asymmetry in crystal facet dynamics of homoepitaxy by a continuum model Physica D: Nonlinear Phenomena. 393: 54-67. DOI: 10.1016/J.Physd.2019.01.004  0.328
2019 Cox G, Marzuola JL. A symplectic perspective on constrained eigenvalue problems Journal of Differential Equations. 266: 2924-2952. DOI: 10.1016/J.Jde.2018.08.054  0.359
2019 Marzuola JL, Swygert SR, Taranets R. Nonnegative weak solutions of thin-film equations related to viscous flows in cylindrical geometries Journal of Evolution Equations. 1-23. DOI: 10.1007/S00028-019-00553-1  0.368
2019 Germain P, Harrop‐Griffiths B, Marzuola JL. Existence and Uniqueness of Solutions for a Quasilinear KdV Equation with Degenerate Dispersion Communications On Pure and Applied Mathematics. 72: 2449-2484. DOI: 10.1002/Cpa.21828  0.456
2018 Blair MD, Ford GA, Marzuola JL. Lp-bounds on spectral clusters associated to polygonal domains Revista Matematica Iberoamericana. 34: 1071-1091. DOI: 10.4171/Rmi/1016  0.388
2018 Fukuizumi R, Marzuola JL, Pelinovsky D, Schneider G. Nonlinear Partial Differential Equations on Graphs Oberwolfach Reports. 14: 1805-1868. DOI: 10.4171/Owr/2017/29  0.396
2018 Dodson B, Marzuola JL, Pausader B, Spirn DP. The profile decomposition for the hyperbolic Schrödinger equation Illinois Journal of Mathematics. 62: 293-320. DOI: 10.1215/Ijm/1552442664  0.425
2018 Harrop-Griffiths B, Marzuola JL. Small data global solutions for the Camassa-Choi equations Nonlinearity. 31: 1868-1904. DOI: 10.1088/1361-6544/Aaa7B6  0.5
2017 Marzuola JL, Raynor S, Simpson G. Nonlinear Bound States in a Schrodinger{Poisson System with External Potential Siam Journal On Applied Dynamical Systems. 16: 226-251. DOI: 10.1137/16M1083852  0.374
2017 Kurzke M, Marzuola JL, Spirn D. Gross--Pitaevskii Vortex Motion with Critically Scaled Inhomogeneities Siam Journal On Mathematical Analysis. 49: 471-500. DOI: 10.1137/15M1049014  0.332
2017 Gauckler L, Lu J, Marzuola JL, Rousset F, Schratz K. Trigonometric integrators for quasilinear wave equations Ieee Communications Magazine. 88: 717-749. DOI: 10.1090/Mcom/3339  0.436
2016 Herr S, Marzuola JL. On discrete rarefaction waves in an NLS toy model for weak turbulence Indiana University Mathematics Journal. 65: 753-777. DOI: 10.1512/Iumj.2016.65.5815  0.422
2016 Tsitoura F, Anastassi Z, Marzuola JL, Kevrekidis PG, Frantzeskakis DJ. Dark Solitons Near Potential and Nonlinearity Steps Physical Review A. 94. DOI: 10.1103/Physreva.94.063612  0.335
2016 Marzuola JL, Pelinovsky DE. Ground state on the dumbbell graph Applied Mathematics Research Express. 2016: 98-145. DOI: 10.1093/Amrx/Abv011  0.382
2016 Marzuola JL, Taylor ME. Higher dimensional vortex standing waves for nonlinear Schrödinger equations Communications in Partial Differential Equations. 1-49. DOI: 10.1080/03605302.2015.1127966  0.454
2015 Lu J, Marzuola JL. Strang splitting methods for a quasilinear Schrödinger equation: Convergence, instability, and dynamics Communications in Mathematical Sciences. 13: 1051-1074. DOI: 10.4310/Cms.2015.V13.N5.A1  0.455
2015 Goodman RH, Marzuola JL, Weinstein MI. Self-trapping and Josephson tunneling solutions to the nonlinear Schrödinger / Gross-Pitaevskii equation Discrete and Continuous Dynamical Systems- Series A. 35: 225-246. DOI: 10.3934/Dcds.2015.35.225  0.425
2015 Erdoʇan MB, Marzuola JL, Newhall K, Tzirakis N. The structure of global attractors for dissipative zakharov systems with forcing on the torus Siam Journal On Applied Dynamical Systems. 14: 1978-1990. DOI: 10.1137/14097015X  0.405
2015 Cox G, Jones CKRT, Marzuola JL. A Morse Index Theorem for Elliptic Operators on Bounded Domains Communications in Partial Differential Equations. 40: 1467-1497. DOI: 10.1080/03605302.2015.1025979  0.302
2015 Camassa R, Marzuola JL, Ogrosky HR, Vaughn N. Traveling waves for a model of gravity-driven film flows in cylindrical domains Physica D: Nonlinear Phenomena. DOI: 10.1016/J.Physd.2015.12.003  0.364
2015 Borthwick D, Marzuola JL. Dispersive Estimates for Scalar and Matrix Schrödinger Operators on ℍn+1 Mathematical Physics Analysis and Geometry. 18. DOI: 10.1007/S11040-015-9191-8  0.315
2014 Marzuola JL, Metcalfe J, Tataru D. Quasilinear Schrö;dinger equations, II: Small data and cubic nonlinearities Kyoto Journal of Mathematics. 54: 529-546. DOI: 10.1215/21562261-2693424  0.635
2014 Marzuola JL, Raynor S, Simpson G. Dynamics near a minimal-mass soliton for a Korteweg-de Vries equation Dynamical Systems. 29: 285-299. DOI: 10.1080/14689367.2014.889088  0.469
2014 Christianson H, Marzuola J, Metcalfe J, Taylor M. Nonlinear Bound States on Weakly Homogeneous Spaces Communications in Partial Differential Equations. 39: 34-97. DOI: 10.1080/03605302.2013.845044  0.455
2013 Blair MD, Ford GA, Marzuola JL. Strichartz estimates for the wave equation on flat cones International Mathematics Research Notices. 2013: 562-591. DOI: 10.1093/Imrn/Rns002  0.434
2013 Colliander JE, Marzuola JL, Oh T, Simpson G. Behavior of a model dynamical system with applications to weak turbulence Experimental Mathematics. 22: 250-264. DOI: 10.1080/10586458.2013.793110  0.392
2013 Chen RM, Marzuola JL, Spirn D, Wright JD. On the regularity of the flow map for the gravity-capillary equations Journal of Functional Analysis. 264: 752-782. DOI: 10.1016/J.Jfa.2012.09.020  0.355
2012 Hillairet L, Marzuola JL. Nonconcentration in partially rectangular billiards Analysis and Pde. 5: 831-854. DOI: 10.2140/Apde.2012.5.831  0.322
2012 Koch H, Marzuola JL. Small data scattering and soliton stability in H-1/6 for the quartic KDV equation Analysis and Pde. 5: 145-198. DOI: 10.2140/Apde.2012.5.145  0.47
2012 Cuccagna S, Marzuola JL. On instability for the quintic nonlinear schrödinger equation of some approximate periodic solutions Indiana University Mathematics Journal. 61: 2053-2083. DOI: 10.1512/Iumj.2012.61.4911  0.473
2012 Albin P, Christianson H, Marzuola JL, Thomann L. Construction of nonlinear quasimodes near elliptic periodic orbits Physica D: Nonlinear Phenomena. 241: 409-425. DOI: 10.1016/J.Physd.2011.10.011  0.399
2012 Marzuola JL, Metcalfe J, Tataru D. Quasilinear Schrödinger equations I: Small data and quadratic interactions Advances in Mathematics. 231: 1151-1172. DOI: 10.1016/J.Aim.2012.06.010  0.639
2012 Blair MD, Ford GA, Herr S, Marzuola JL. Strichartz estimates for the schrödinger equation on polygonal domains Journal of Geometric Analysis. 22: 339-351. DOI: 10.1007/S12220-010-9187-3  0.443
2011 Marzuola JL. Dispersive estimates using scattering theory for matrix hamiltonian equations Discrete and Continuous Dynamical Systems. 30: 995-1035. DOI: 10.3934/Dcds.2011.30.995  0.449
2011 Marzuola JL, Simpson G. Spectral analysis for matrix hamiltonian operators Nonlinearity. 24: 389-429. DOI: 10.1088/0951-7715/24/2/003  0.46
2011 Duchêne V, Marzuola JL, Weinstein MI. Wave operator bounds for one-dimensional Schrödinger operators with singular potentials and applications Journal of Mathematical Physics. 52. DOI: 10.1063/1.3525977  0.37
2010 Marzuola JL, Weinstein MI. Long time dynamics near the symmetry breaking bifurcation for nonlinear schrödinger/gross-pitaevskii equations Discrete and Continuous Dynamical Systems. 28: 1505-1554. DOI: 10.3934/Dcds.2010.28.1505  0.427
2010 Marzuola JL. A class of stable perturbations f or a minimal mass soliton in three-dimensional sat urated nonlinear Schrödinger Equations Siam Journal On Mathematical Analysis. 42: 1382-1403. DOI: 10.1137/09075175X  0.446
2010 Christianson H, Marzuola JL. Existence and stability of solitons for the nonlinear Schrödinger equation on hyperbolic space Nonlinearity. 23: 89-106. DOI: 10.1088/0951-7715/23/1/005  0.467
2010 Marzuola JL, Raynor S, Simpson G. A system of ODEs for a perturbation of a minimal mass soliton Journal of Nonlinear Science. 20: 425-461. DOI: 10.1007/S00332-010-9064-Z  0.421
2009 Marzuola J, Metcalfe J, Tataru D, Tohaneanu M. Strichartz estimates on Schwarzschild black hole backgrounds Communications in Mathematical Physics. 293: 37-83. DOI: 10.1007/S00220-009-0940-Z  0.627
2008 Marzuola J, Metcalfe J, Tataru D. Strichartz estimates and local smoothing estimates for asymptotically flat Schrödinger equations Journal of Functional Analysis. 255: 1497-1553. DOI: 10.1016/J.Jfa.2008.05.022  0.591
2007 Holmer J, Marzuola J, Zworski M. Soliton splitting by external delta potentials Journal of Nonlinear Science. 17: 349-367. DOI: 10.1007/S00332-006-0807-9  0.429
2007 Holmer J, Marzuola J, Zworski M. Fast soliton scattering by delta impurities Communications in Mathematical Physics. 274: 187-216. DOI: 10.1007/S00220-007-0261-Z  0.344
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