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1

Strichartz estimates and local smoothing estimates for asymptotically flat Schrödinger equations

Jeremy Marzuola, Jason Metcalfe, Daniel Tataru

Journal:

Journal of Functional Analysis

Year:

2008

Language:

english

File:

PDF, 376 KB

english, 2008

2

On the regularity of the flow map for the gravity-capillary equations

Robin Ming Chen, Jeremy L. Marzuola, Daniel Spirn, J. Douglas Wright

Journal:

Journal of Functional Analysis

Year:

2013

Language:

english

File:

PDF, 262 KB

english, 2013

3

Fast Soliton Scattering by Delta Impurities

Justin Holmer, Jeremy Marzuola, Maciej Zworski

Journal:

Communications in Mathematical Physics

Year:

2007

Language:

english

File:

PDF, 367 KB

english, 2007

4

Quasilinear Schrödinger equations I: Small data and quadratic interactions

Jeremy L. Marzuola, Jason Metcalfe, Daniel Tataru

Journal:

Advances in Mathematics

Year:

2012

Language:

english

File:

PDF, 240 KB

english, 2012

5

Self-trapping and Josephson tunneling solutions to the nonlinear Schrödinger / Gross-Pitaevskii equation

Goodman, Roy H., Marzuola, Jeremy L., Weinstein, Michael I.

Journal:

Discrete and Continuous Dynamical Systems

Year:

2014

Language:

english

File:

PDF, 753 KB

english, 2014

6

A Morse Index Theorem for Elliptic Operators on Bounded Domains

Cox, Graham, Jones, Christopher K. R. T., Marzuola, Jeremy L.

Journal:

Communications in Partial Differential Equations

Year:

2015

Language:

english

File:

PDF, 230 KB

english, 2015

7

Nonconcentration in partially rectangular billiards

Hillairet, Luc, Marzuola, Jeremy

Journal:

Year:

2012

Language:

english

File:

PDF, 783 KB

english, 2012

8

Small data scattering and soliton stability in Ḣ −1 ∕ 6 for the quartic KdV equation

Koch, Herbert, Marzuola, Jeremy

Journal:

Year:

2012

Language:

english

File:

PDF, 1.46 MB

english, 2012

9

Small data global solutions for the Camassa–Choi equations

Harrop-Griffiths, Benjamin, Marzuola, Jeremy L

Journal:

Year:

2018

Language:

english

File:

PDF, 2.28 MB

english, 2018

10

Existence and Uniqueness of Solutions for a Quasilinear KdV Equation with Degenerate Dispersion

Germain, Pierre, Harrop‐Griffiths, Benjamin, Marzuola, Jeremy L.

Journal:

Communications on Pure and Applied Mathematics

Year:

2019

Language:

english

File:

PDF, 309 KB

english, 2019

11

Quadrature by two expansions: Evaluating Laplace layer potentials using complex polynomial and plane wave expansions

Ding, Lingyun, Huang, Jingfang, Marzuola, Jeremy L., Tang, Zhuochao

Journal:

Journal of Computational Physics

Year:

2020

File:

PDF, 5.13 MB

2020

12

Strichartz Estimates on Schwarzschild Black Hole Backgrounds

Jeremy Marzuola, Jason Metcalfe, Daniel Tataru, Mihai Tohaneanu

Journal:

Communications in Mathematical Physics

Year:

2010

Language:

english

File:

PDF, 554 KB

english, 2010

13

A System of ODEs for a Perturbation of a Minimal Mass Soliton

Jeremy L. Marzuola, Sarah Raynor, Gideon Simpson

Journal:

Journal of Nonlinear Science

Year:

2010

Language:

english

File:

PDF, 1.33 MB

english, 2010

14

Counting numerical sets with no small atoms

Jeremy Marzuola, Andy Miller

Journal:

Journal of Combinatorial Theory, Series A

Year:

2010

Language:

english

File:

PDF, 325 KB

english, 2010

15

Strichartz Estimates for the Schrödinger Equation on

Matthew D. Blair, G. Austin Ford, Sebastian Herr, Jeremy L. Marzuola

Journal:

Journal of Geometric Analysis

Year:

2012

Language:

english

File:

PDF, 308 KB

english, 2012

16

Bose–Einstein condensation transition studies for atoms confined in Laguerre–Gaussian laser modes

T.G. Akin, Sharon Kennedy, Ben Dribus, Jeremy L. Marzuola, Lise Johnson, Jason Alexander, E.R.I. Abraham

Journal:

Optics Communications

Year:

2012

Language:

english

File:

PDF, 792 KB

english, 2012

17

Construction of nonlinear quasimodes near elliptic periodic orbits

Pierre Albin, Hans Christianson, Jeremy L. Marzuola, Laurent Thomann

Journal:

Physica D: Nonlinear Phenomena

Year:

2012

Language:

english

File:

PDF, 400 KB

english, 2012

18

A Class of Stable Perturbations for a Minimal Mass Soliton in Three-Dimensional Saturated Nonlinear Schrödinger Equations

Marzuola, Jeremy L.

Journal:

SIAM Journal on Mathematical Analysis

Year:

2010

Language:

english

File:

PDF, 281 KB

english, 2010

19

Wave operator bounds for one-dimensional Schrödinger operators with singular potentials and applications

Duche^ne, Vincent, Marzuola, Jeremy L., Weinstein, Michael I.

Journal:

Journal of Mathematical Physics

Year:

2011

Language:

english

File:

PDF, 600 KB

english, 2011

20

Nonlinear Bound States on Weakly Homogeneous Spaces

Christianson, Hans, Marzuola, Jeremy, Metcalfe, Jason, Taylor, Michael

Journal:

Communications in Partial Differential Equations

Year:

2014

Language:

english

File:

PDF, 454 KB

english, 2014

21

Existence and stability of solitons for the nonlinear Schrödinger equation on hyperbolic space

Christianson, Hans, Marzuola, Jeremy L

Journal:

Year:

2010

Language:

english

File:

PDF, 259 KB

english, 2010

22

Relaxation of a family of broken-bond crystal-surface models

Marzuola, Jeremy L., Weare, Jonathan

Journal:

Physical Review E

Year:

2013

Language:

english

File:

PDF, 7.40 MB

english, 2013

23

Eigenfunction Concentration for Polygonal Billiards

Hassell, Andrew, Hillairet, Luc, Marzuola, Jeremy

Journal:

Communications in Partial Differential Equations

Year:

2009

Language:

english

File:

PDF, 221 KB

english, 2009

24

Eigenfunctions for Partially Rectangular Billiards

Marzuola, Jeremy

Journal:

Communications in Partial Differential Equations

Year:

2006

Language:

english

File:

PDF, 776 KB

english, 2006

25

Behavior of a Model Dynamical System with Applications to Weak Turbulence

Colliander, James E., Marzuola, Jeremy L., Oh, Tadahiro, Simpson, Gideon

Journal:

Experimental Mathematics

Year:

2013

Language:

english

File:

PDF, 1016 KB

english, 2013

26

Spectral analysis for matrix Hamiltonian operators

Marzuola, Jeremy L, Simpson, Gideon

Journal:

Year:

2011

Language:

english

File:

PDF, 90 KB

english, 2011

27

Wave Packet Parametrices for Evolutions Governed by PDO's with Rough Symbols

Jeremy Marzuola, Jason Metcalfe and Daniel Tataru

Journal:

Proceedings of the American Mathematical Society

Year:

2008

Language:

english

File:

PDF, 570 KB

english, 2008

28

Higher dimensional vortex standing waves for nonlinear Schrödinger equations

Marzuola, Jeremy L., Taylor, Michael E.

Journal:

Communications in Partial Differential Equations

Year:

2016

Language:

english

File:

PDF, 692 KB

english, 2016

29

Ground State on the Dumbbell Graph

Marzuola, Jeremy L., Pelinovsky, Dmitry E.

Journal:

Applied Mathematics Research eXpress

Year:

2016

Language:

english

File:

PDF, 807 KB

english, 2016

30

Traveling waves for a model of gravity-driven film flows in cylindrical domains

Camassa, Roberto, Marzuola, Jeremy L., Ogrosky, H. Reed, Vaughn, Nathan

Journal:

Physica D: Nonlinear Phenomena

Year:

2015

Language:

english

File:

PDF, 1.05 MB

english, 2015

31

Dispersive Estimates for Scalar and Matrix Schrödinger Operators on ℍn+1

Borthwick, David, Marzuola, Jeremy L.

Journal:

Mathematical Physics, Analysis and Geometry

Year:

2015

Language:

english

File:

PDF, 404 KB

english, 2015

32

Wave packet parametrices for evolutions governed by pdo's with rough symbols

Marzuola, Jeremy, Metcalfe, Jason, Tataru, Daniel

Journal:

Proceedings of the American Mathematical Society

Year:

2007

Language:

english

File:

PDF, 149 KB

english, 2007

33

Quasilinear Schrödinger equations, II: Small data and cubic nonlinearities

Marzuola, Jeremy L., Metcalfe, Jason, Tataru, Daniel

Journal:

Kyoto Journal of Mathematics

Year:

2014

Language:

english

File:

PDF, 266 KB

english, 2014

34

Gross--Pitaevskii Vortex Motion with Critically Scaled Inhomogeneities

Kurzke, Matthias, Marzuola, Jeremy L., Spirn, Daniel

Journal:

SIAM Journal on Mathematical Analysis

Year:

2017

Language:

english

File:

PDF, 1.19 MB

english, 2017

35

Nonlinear Partial Differential Equations on Graphs

Fukuizumi, Reika, Marzuola, Jeremy, Pelinovsky, Dmitry, Schneider, Guido

Journal:

Oberwolfach Reports

Year:

2018

Language:

english

File:

PDF, 1.81 MB

english, 2018

36

$L^p$-bounds on spectral clusters associated to polygonal domains

Blair, Matthew, Ford, G. Austin, Marzuola, Jeremy

Journal:

Revista Matemática Iberoamericana

Year:

2018

Language:

english

File:

PDF, 325 KB

english, 2018

37

Manifold decompositions and indices of Schr\\\"{o}dinger operators

Cox, Graham, Jones, Christopher K.R.T., Marzuola, Jeremy L

Journal:

Indiana University Mathematics Journal

Year:

2017

Language:

english

File:

PDF, 331 KB

english, 2017

38

A symplectic perspective on constrained eigenvalue problems

Cox, Graham, Marzuola, Jeremy L.

Journal:

Journal of Differential Equations

Year:

2018

Language:

english

File:

PDF, 1.10 MB

english, 2018

39

Trigonometric integrators for quasilinear wave equations

Gauckler, Ludwig, Lu, Jianfeng, Marzuola, Jeremy L., Rousset, Frédéric, Schratz, Katharina

Journal:

Mathematics of Computation

Year:

2018

Language:

english

File:

PDF, 465 KB

english, 2018

40

Asymmetry in crystal facet dynamics of homoepitaxy by a continuum model

Liu, Jian-Guo, Lu, Jianfeng, Margetis, Dionisios, Marzuola, Jeremy L.

Journal:

Physica D: Nonlinear Phenomena

Year:

2019

File:

PDF, 2.53 MB

2019

41

Nodal deficiency, spectral flow, and the Dirichlet-to-Neumann map

Berkolaiko, Gregory, Cox, Graham, Marzuola, Jeremy L.

Journal:

Letters in Mathematical Physics

Year:

2019

Language:

english

File:

PDF, 467 KB

english, 2019

42

Nodal deficiency, spectral flow, and the Dirichlet-to-Neumann map

Berkolaiko, Gregory, Cox, Graham, Marzuola, Jeremy L.

Journal:

Letters in Mathematical Physics

Year:

2019

File:

PDF, 467 KB

2019

43

Compactons and their variational properties for degenerate KdV and NLS in dimension 1

Germain, Pierre, Harrop-Griffiths, Benjamin, Marzuola, Jeremy L.

Journal:

Quarterly of Applied Mathematics

Year:

2019

Language:

english

File:

PDF, 438 KB

english, 2019

44

On instability for the quintic nonlinear Schrodinger equation of some approximate periodic solutions

Marzuola, Jeremy, Cuccagna, Scipio

Journal:

Indiana University Mathematics Journal

Year:

2012

Language:

english

File:

PDF, 457 KB

english, 2012

45

Existence and Stability of Schrödinger Solitons on Noncompact Manifolds

Borthwick, David, Donninger, Roland, Lenzmann, Enno, Marzuola, Jeremy L.

Journal:

SIAM Journal on Mathematical Analysis

Year:

2019

Language:

english

File:

PDF, 623 KB

english, 2019

46

Nonnegative weak solutions of thin-film equations related to viscous flows in cylindrical geometries

Marzuola, Jeremy L., Swygert, Sterling R., Taranets, Roman

Journal:

Journal of Evolution Equations

Year:

2019

Language:

english

File:

PDF, 398 KB

english, 2019

47

Nonnegative weak solutions of thin-film equations related to viscous flows in cylindrical geometries

Marzuola, Jeremy L., Swygert, Sterling R., Taranets, Roman

Journal:

Journal of Evolution Equations

Year:

2019

File:

PDF, 398 KB

2019

48

On discrete rarefaction waves in an NLS toy model for weak turbulence

Herr, Sebastian, Marzuola, Jeremy

Journal:

Indiana University Mathematics Journal

Year:

2016

File:

PDF, 1.25 MB

2016

49

Limiting eigenfunctions of SturmâLiouville operators subject to a spectral flow

Beck, Thomas, Bors, Isabel, Conte, Grace, Cox, Graham, Marzuola, Jeremy L.

Journal:

Annales mathématiques du Québec

Year:

2020

File:

PDF, 925 KB

2020

50

On the stability of traveling wave solutions to thin-film and long-wave models for film flows inside a tube

Camassa, Roberto, Marzuola, Jeremy L., Ogrosky, H. Reed, Swygert, Sterling

Journal:

Physica D: Nonlinear Phenomena

Year:

2021

File:

PDF, 1.49 MB

2021