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Works (43)

Determination of Schrödinger nonlinearities from the scattering map

Nonlinearity
2025-01-31 | Journal article
DOI: 10.1088/1361-6544/ada1bf
Contributors: Rowan Killip; Jason Murphy; Monica Visan
Source: check_circle
Crossref

Stability estimates for the recovery of the nonlinearity from scattering data

Pure and Applied Analysis
2024-02-22 | Journal article
DOI: 10.2140/paa.2024.6.305
Part of ISSN: 2578-5885
Part of ISSN: 2578-5893
Contributors: Gong Chen; Jason Murphy
Source: Self-asserted source
Jason Murphy

Asymptotic stability of solitary waves for the 1d NLS with an attractive delta potential

Discrete and Continuous Dynamical Systems
2023 | Journal article
DOI: 10.3934/dcds.2023006
Part of ISSN: 1078-0947
Part of ISSN: 1553-5231
Contributors: Satoshi Masaki; Department of Systems Innovation, Graduate School of Engineering Science, Osaka University, Japan; Jason Murphy; Jun-ichi Segata; Department of Mathematics & Statistics, Missouri University of Science & Technology, USA; Faculty of Mathematics, Kyushu University, Japan
Source: Self-asserted source
Jason Murphy

Threshold scattering for the focusing NLS with a repulsive potential

Indiana University Mathematics Journal
2023 | Journal article
DOI: 10.1512/iumj.2023.72.9404
Part of ISSN: 0022-2518
Contributors: Changxing Miao; Jason Murphy; Jiqiang Zheng
Source: Self-asserted source
Jason Murphy

Recovery of the nonlinearity from the modified scattering map

2023-09-26 | Other
DOI: 10.1093/imrn/rnad243
Contributors: Gong Chen; Jason Murphy
Source: check_circle
Crossref

Recovery of a spatially-dependent coefficient from the NLS scattering map

Communications in Partial Differential Equations
2023-08-06 | Journal article
DOI: 10.1080/03605302.2023.2241546
Part of ISSN: 0360-5302
Part of ISSN: 1532-4133
Contributors: Jason Murphy
Source: Self-asserted source
Jason Murphy

Averaging for the 2d dispersion-managed NLS

Communications in Contemporary Mathematics
2023-07-19 | Journal article
DOI: 10.1142/s021919972350030x
Part of ISSN: 0219-1997
Part of ISSN: 1793-6683
Contributors: Luccas Campos; Jason Murphy; Tim Van Hoose
Source: Self-asserted source
Jason Murphy
grade
Preferred source (of 2)‎

Recovery of a cubic nonlinearity for the nonlinear Schrödinger equation

Journal of Mathematical Analysis and Applications
2023-06 | Journal article
DOI: 10.1016/j.jmaa.2023.127016
Part of ISSN: 0022-247X
Contributors: Christopher C. Hogan; Jason Murphy; David Grow
Source: Self-asserted source
Jason Murphy

Threshold solutions for the 3<i>d</i> cubic-quintic NLS

Communications in Partial Differential Equations
2023-05-04 | Journal article
DOI: 10.1080/03605302.2023.2212477
Part of ISSN: 0360-5302
Part of ISSN: 1532-4133
Contributors: Alex Ardila; Jason Murphy
Source: Self-asserted source
Jason Murphy

The scattering map determines the nonlinearity

Proceedings of the American Mathematical Society
2023-03-03 | Journal article
DOI: 10.1090/proc/16297
Part of ISSN: 0002-9939
Part of ISSN: 1088-6826
Contributors: Rowan Killip; Jason Murphy; Monica Visan
Source: Self-asserted source
Jason Murphy

Well-posedness and blowup for the dispersion-managed nonlinear Schrödinger equation

Proceedings of the American Mathematical Society
2023-03-03 | Journal article
DOI: 10.1090/proc/16243
Part of ISSN: 0002-9939
Part of ISSN: 1088-6826
Contributors: Jason Murphy; Tim Van Hoose
Source: Self-asserted source
Jason Murphy

Scattering below the ground state for the intercritical non-radial inhomogeneous NLS

Nonlinear Analysis: Real World Applications
2022-12 | Journal article
DOI: 10.1016/j.nonrwa.2022.103687
Contributors: Mykael Cardoso; Luiz Gustavo Farah; Carlos M. Guzmán; Jason Murphy
Source: check_circle
Crossref

Modified scattering for a dispersion-managed nonlinear Schrödinger equation

Nonlinear Differential Equations and Applications NoDEA
2022-01 | Journal article
DOI: 10.1007/s00030-021-00731-6
Part of ISSN: 1021-9722
Part of ISSN: 1420-9004
Contributors: Jason Murphy; Tim Van Hoose
Source: Self-asserted source
Jason Murphy

Failure of scattering to solitary waves for long-range nonlinear Schrödinger equations

Discrete &amp; Continuous Dynamical Systems - A
2021 | Journal article
DOI: 10.3934/dcds.2020328
Part of ISSN: 1553-5231
Contributors: Jason Murphy; ,Department of Mathematics and Statistics, Missouri University of Science &amp; Technology, Rolla, MO, USA; Kenji Nakanishi; ,Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan
Source: Self-asserted source
Jason Murphy

Scattering for the non-radial inhomogeneous NLS

Mathematical Research Letters
2021 | Journal article
DOI: 10.4310/mrl.2021.v28.n5.a9
Part of ISSN: 1073-2780
Part of ISSN: 1945-001X
Contributors: Changxing Miao; Jason Murphy; Jiqiang Zheng
Source: Self-asserted source
Jason Murphy

A simple proof of scattering for the intercritical inhomogeneous NLS

Proceedings of the American Mathematical Society
2021-12-14 | Journal article
DOI: 10.1090/proc/15717
Part of ISSN: 0002-9939
Part of ISSN: 1088-6826
Contributors: Jason Murphy
Source: Self-asserted source
Jason Murphy

Threshold scattering for the 2D radial cubic-quintic NLS

Communications in Partial Differential Equations
2021-11-02 | Journal article
DOI: 10.1080/03605302.2021.1928701
Part of ISSN: 0360-5302
Part of ISSN: 1532-4133
Contributors: Jason Murphy
Source: Self-asserted source
Jason Murphy

Scattering for the non-radial energy-critical inhomogeneous NLS

Journal of Differential Equations
2021-09 | Journal article | Author
DOI: 10.1016/j.jde.2021.05.055
Part of ISSN: 0022-0396
Contributors: Carlos M. Guzmán; Jason Murphy
Source: Self-asserted source
Jason Murphy
grade
Preferred source (of 2)‎

Scattering for the Cubic-Quintic NLS: Crossing the Virial Threshold

SIAM Journal on Mathematical Analysis
2021-01 | Journal article
DOI: 10.1137/20m1381824
Part of ISSN: 0036-1410
Part of ISSN: 1095-7154
Contributors: Rowan Killip; Jason Murphy; Monica Visan
Source: Self-asserted source
Jason Murphy

Scattering for defocusing energy subcritical nonlinear wave equations

Analysis &amp; PDE
2020-11-10 | Journal article
DOI: 10.2140/apde.2020.13.1995
Part of ISSN: 1948-206X
Part of ISSN: 2157-5045
Contributors: Benjamin Dodson; Andrew Lawrie; Dana Mendelson; Jason Murphy
Source: Self-asserted source
Jason Murphy

Numerical simulations for the energy-supercritical nonlinear wave equation

Nonlinearity
2020-11-01 | Journal article
DOI: 10.1088/1361-6544/aba235
Part of ISSN: 0951-7715
Part of ISSN: 1361-6544
Contributors: Jason Murphy; Yanzhi Zhang
Source: Self-asserted source
Jason Murphy

Invariance of white noise for KdV on the line

Inventiones mathematicae
2020-10 | Journal article
DOI: 10.1007/s00222-020-00964-9
Part of ISSN: 0020-9910
Part of ISSN: 1432-1297
Contributors: Rowan Killip; Jason Murphy; Monica Visan
Source: Self-asserted source
Jason Murphy

Stability of small solitary waves for the one-dimensional NLS with an attractive delta potential

Analysis &amp; PDE
2020-06-13 | Journal article
DOI: 10.2140/apde.2020.13.1099
Part of ISSN: 1948-206X
Part of ISSN: 2157-5045
Contributors: Satoshi Masaki; Jason Murphy; Jun-ichi Segata
Source: Self-asserted source
Jason Murphy

The energy-critical nonlinear wave equation with an inverse-square potential

Annales de l'Institut Henri Poincaré C, Analyse non linéaire
2020-04 | Journal article
DOI: 10.1016/j.anihpc.2019.09.004
Part of ISSN: 0294-1449
Part of ISSN: 1873-1430
Contributors: Changxing Miao; Jason Murphy; Jiqiang Zheng
Source: Self-asserted source
Jason Murphy

The nonlinear Schrödinger equation with an inverse-square potential

Nonlinear Dispersive Waves and Fluids
2019 | Other
DOI: 10.1090/conm/725/14560
Part of ISSN: 0271-4132
Part of ISSN: 1098-3627
Contributors: Jason Murphy
Source: Self-asserted source
Jason Murphy

The radial mass-subcritical NLS in negative order Sobolev spaces

Discrete &amp; Continuous Dynamical Systems - A
2019 | Journal article
DOI: 10.3934/dcds.2019023
Part of ISSN: 1553-5231
Contributors: Rowan Killip; ,Department of Mathematics, University of California Los Angeles, Los Angeles, CA, USA; Satoshi Masaki; Jason Murphy; Monica Visan; ,Department of Systems Innovation, Graduate School of Engineering Sciences, Toyonaka, Osaka, Japan; ,Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, MO, USA
Source: Self-asserted source
Jason Murphy

Modified Scattering for the One-Dimensional Cubic NLS with a Repulsive Delta Potential

International Mathematics Research Notices
2019-12-17 | Journal article
DOI: 10.1093/imrn/rny011
Part of ISSN: 1073-7928
Part of ISSN: 1687-0247
Contributors: Satoshi Masaki; Jason Murphy; Jun-Ichi Segata
Source: Self-asserted source
Jason Murphy

Scattering below the ground state for the 2$d$ radial nonlinear Schrödinger equation

Proceedings of the American Mathematical Society
2019-12-06 | Journal article
DOI: 10.1090/proc/14824
Part of ISSN: 0002-9939
Part of ISSN: 1088-6826
Contributors: Anudeep Kumar Arora; Benjamin Dodson; Jason Murphy
Source: Self-asserted source
Jason Murphy

Almost sure scattering for the energy-critical NLS with radial data below H1(R4)

Communications in Partial Differential Equations
2019-01-02 | Journal article
DOI: 10.1080/03605302.2018.1541904
Part of ISSN: 0360-5302
Part of ISSN: 1532-4133
Contributors: Rowan Killip; Jason Murphy; Monica Visan
Source: Self-asserted source
Jason Murphy

A new proof of scattering below the ground state for the non-radial focusing NLS

Mathematical Research Letters
2018 | Journal article
DOI: 10.4310/mrl.2018.v25.n6.a5
Part of ISSN: 1073-2780
Part of ISSN: 1945-001X
Contributors: Benjamin Dodson; Jason Murphy
Source: Self-asserted source
Jason Murphy

Random data final-state problem for the mass-subcritical NLS in $L^2$

Proceedings of the American Mathematical Society
2018-10-18 | Journal article
DOI: 10.1090/proc/14275
Part of ISSN: 0002-9939
Part of ISSN: 1088-6826
Contributors: Jason Murphy
Source: Self-asserted source
Jason Murphy

Scattering in H1 for the intercritical NLS with an inverse-square potential

Journal of Differential Equations
2018-03 | Journal article
DOI: 10.1016/j.jde.2017.11.015
Part of ISSN: 0022-0396
Contributors: Jing Lu; Changxing Miao; Jason Murphy
Source: Self-asserted source
Jason Murphy

The Initial-Value Problem for the Cubic-Quintic NLS with Nonvanishing Boundary Conditions

SIAM Journal on Mathematical Analysis
2018-01 | Journal article
DOI: 10.1137/17m1116702
Part of ISSN: 0036-1410
Part of ISSN: 1095-7154
Contributors: Rowan Killip; Jason Murphy; Monica Visan
Source: Self-asserted source
Jason Murphy

Almost global existence for cubic nonlinear Schrödinger equations in one space dimension

Discrete &amp; Continuous Dynamical Systems - A
2017 | Journal article
DOI: 10.3934/dcds.2017089
Part of ISSN: 1553-5231
Contributors: Jason Murphy; ,Department of Mathematics, University of California, 970 Evans Hall, Berkeley, CA 94720-3840, USA; Fabio Pusateri; ,Department of Mathematics, Princeton University, Fine Hall, 304 Washington Rd, Princeton, NJ 08544, USA
Source: Self-asserted source
Jason Murphy

Large data mass-subcritical NLS: critical weighted bounds imply scattering

Nonlinear Differential Equations and Applications NoDEA
2017-08 | Journal article
DOI: 10.1007/s00030-017-0463-9
Contributors: Rowan Killip; Satoshi Masaki; Jason Murphy; Monica Visan
Source: check_circle
Crossref

The defocusing quintic NLS in four space dimensions

Annales de l'Institut Henri Poincaré C, Analyse non linéaire
2017-06 | Journal article
DOI: 10.1016/j.anihpc.2016.05.004
Part of ISSN: 0294-1449
Part of ISSN: 1873-1430
Contributors: Benjamin Dodson; Changxing Miao; Jason Murphy; Jiqiang Zheng
Source: Self-asserted source
Jason Murphy

A new proof of scattering below the ground state for the 3d radial focusing cubic NLS

Proceedings of the American Mathematical Society
2017-06-05 | Journal article
DOI: 10.1090/proc/13678
Part of ISSN: 0002-9939
Part of ISSN: 1088-6826
Contributors: Benjamin Dodson; Jason Murphy
Source: Self-asserted source
Jason Murphy

The focusing cubic NLS with inverse-square potential in three space dimensions

Differential and Integral Equations
2017-03-01 | Journal article
DOI: 10.57262/die/1487386822
Part of ISSN: 0893-4983
Contributors: Rowan Killip; Jason Murphy; Monica Visan; Jiqiang Zheng
Source: Self-asserted source
Jason Murphy

The final-state problem for the cubic-quintic NLS with nonvanishing boundary conditions

Analysis &amp; PDE
2016-11-07 | Journal article
DOI: 10.2140/apde.2016.9.1523
Part of ISSN: 1948-206X
Part of ISSN: 2157-5045
Contributors: Rowan Killip; Jason Murphy; Monica Visan
Source: Self-asserted source
Jason Murphy

The Radial Defocusing Nonlinear Schrödinger Equation in Three Space Dimensions

Communications in Partial Differential Equations
2015-02 | Journal article
DOI: 10.1080/03605302.2014.949379
Part of ISSN: 0360-5302
Part of ISSN: 1532-4133
Contributors: Jason Murphy
Source: Self-asserted source
Jason Murphy

The defocusing energy-supercritical NLS in four space dimensions

Journal of Functional Analysis
2014-09 | Journal article
DOI: 10.1016/j.jfa.2014.06.016
Part of ISSN: 0022-1236
Contributors: Changxing Miao; Jason Murphy; Jiqiang Zheng
Source: Self-asserted source
Jason Murphy

Intercritical NLS: Critical $\dot{H}^s$-Bounds Imply Scattering

SIAM Journal on Mathematical Analysis
2014-01 | Journal article
DOI: 10.1137/120898280
Part of ISSN: 0036-1410
Part of ISSN: 1095-7154
Contributors: Jason Murphy
Source: Self-asserted source
Jason Murphy

The defocusing $\dot{H}^{1/2}$-critical NLS in high dimensions

Discrete and Continuous Dynamical Systems
2013-08 | Journal article
DOI: 10.3934/dcds.2014.34.733
Part of ISSN: 1078-0947
Contributors: Jason Murphy
Source: Self-asserted source
Jason Murphy

Peer review (1 review for 1 publication/grant)

Review activity for Nonlinear differential equations and applications : (1)
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