Jason Murphy
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View article: Scattering for the $1d$ NLS with inhomogeneous nonlinearities
Scattering for the $1d$ NLS with inhomogeneous nonlinearities Open
We prove large-data scattering in $H^1$ for inhomogeneous nonlinear Schrödinger equations in one space dimension for powers $p>2$. We assume the inhomogeneity is nonnegative and repulsive; we additionally require decay at infinity in the c…
View article: Food conscientiousness as a buffer against college students' weight gain
Food conscientiousness as a buffer against college students' weight gain Open
Introduction A variety of psychological factors may influence weight gain among undergraduates. As one of the psychological factors that might influence such weight gain, this research introduces food conscientiousness, a behavioral tenden…
View article: Modified scattering for the cubic dispersion-managed NLS
Modified scattering for the cubic dispersion-managed NLS Open
We establish a small-data modified scattering result for the $1d$ cubic\ndispersion-managed NLS (with time-dependent dispersion map) for initial data in\na weighted space.\n
View article: The cubic-quintic nonlinear Schrödinger equation with inverse-square potential
The cubic-quintic nonlinear Schrödinger equation with inverse-square potential Open
We consider the nonlinear Schrödinger equation in three space dimensions with a focusing cubic nonlinearity and defocusing quintic nonlinearity and in the presence of an external inverse-square potential. We establish scattering in the reg…
View article: Small and large data scattering for the dispersion-managed NLS
Small and large data scattering for the dispersion-managed NLS Open
We prove several scattering results for dispersion-managed nonlinear Schrödinger equations. In particular, we establish small-data scattering for both `intercritical' and `mass-subcritical' powers by suitable modifications of the standard …
View article: A note on averaging for the dispersion-managed NLS
A note on averaging for the dispersion-managed NLS Open
We discuss averaging for dispersion-managed nonlinear Schrödinger equations in the fast dispersion management regime, with an application to the problem of constructing soliton-like solutions to dispersion-managed nonlinear Schrödinger equ…
View article: Determination of Schrödinger nonlinearities from the scattering map
Determination of Schrödinger nonlinearities from the scattering map Open
We prove that the small-data scattering map uniquely determines the nonlinearity for a wide class of gauge-invariant, intercritical nonlinear Schrödinger equations. We use the Born approximation to reduce the analysis to a deconvolution pr…
View article: Transmission of fast solitons for the NLS with an external potential
Transmission of fast solitons for the NLS with an external potential Open
We consider the dynamics of a boosted soliton evolving under the cubic NLS with an external potential. We show that for sufficiently large velocities, the soliton is effectively transmitted through the potential. This result extends work o…
View article: Transmission of fast solitons for the NLS with an external potential
Transmission of fast solitons for the NLS with an external potential Open
We consider the dynamics of a boosted soliton evolving under the cubic NLS with an external potential. We show that for sufficiently large velocities, the soliton is effectively transmitted through the potential. This result extends work o…
View article: Threshold dynamics for the 3$d$ radial NLS with combined nonlinearity
Threshold dynamics for the 3$d$ radial NLS with combined nonlinearity Open
We consider the nonlinear Schrödinger equation with focusing quintic and defocusing cubic nonlinearity in three space dimensions: \[ (i\partial_t+Δ)u = |u|^2 u - |u|^4 u. \] In [18, 23], the authors classified the dynamics of solutions und…
View article: Stability estimates for the recovery of the nonlinearity from scattering data
Stability estimates for the recovery of the nonlinearity from scattering data Open
We prove stability estimates for the problem of recovering the nonlinearity from scattering data. We focus our attention on nonlinear Schrödinger equations of the form \[ (i\partial_t+Δ)u = a(x)|u|^p u \] in three space dimensions, with $p…
View article: Supplementary Data from Discovery, Preclinical Characterization, and Early Clinical Activity of JDQ443, a Structurally Novel, Potent, and Selective Covalent Oral Inhibitor of KRAS<sup>G12C</sup>
Supplementary Data from Discovery, Preclinical Characterization, and Early Clinical Activity of JDQ443, a Structurally Novel, Potent, and Selective Covalent Oral Inhibitor of KRAS<sup>G12C</sup> Open
Supplementary Data from Discovery, Preclinical Characterization, and Early Clinical Activity of JDQ443, a Structurally Novel, Potent, and Selective Covalent Oral Inhibitor of KRASG12C
View article: Data from Discovery, Preclinical Characterization, and Early Clinical Activity of JDQ443, a Structurally Novel, Potent, and Selective Covalent Oral Inhibitor of KRAS<sup>G12C</sup>
Data from Discovery, Preclinical Characterization, and Early Clinical Activity of JDQ443, a Structurally Novel, Potent, and Selective Covalent Oral Inhibitor of KRAS<sup>G12C</sup> Open
Covalent inhibitors of KRASG12C have shown antitumor activity against advanced/metastatic KRASG12C-mutated cancers, though resistance emerges and additional strategies are needed to improve outcomes. JDQ443 is a structurally unique covalen…
View article: Supplementary Data from Discovery, Preclinical Characterization, and Early Clinical Activity of JDQ443, a Structurally Novel, Potent, and Selective Covalent Oral Inhibitor of KRAS<sup>G12C</sup>
Supplementary Data from Discovery, Preclinical Characterization, and Early Clinical Activity of JDQ443, a Structurally Novel, Potent, and Selective Covalent Oral Inhibitor of KRAS<sup>G12C</sup> Open
Supplementary Data from Discovery, Preclinical Characterization, and Early Clinical Activity of JDQ443, a Structurally Novel, Potent, and Selective Covalent Oral Inhibitor of KRASG12C
View article: Data from Discovery, Preclinical Characterization, and Early Clinical Activity of JDQ443, a Structurally Novel, Potent, and Selective Covalent Oral Inhibitor of KRAS<sup>G12C</sup>
Data from Discovery, Preclinical Characterization, and Early Clinical Activity of JDQ443, a Structurally Novel, Potent, and Selective Covalent Oral Inhibitor of KRAS<sup>G12C</sup> Open
Covalent inhibitors of KRASG12C have shown antitumor activity against advanced/metastatic KRASG12C-mutated cancers, though resistance emerges and additional strategies are needed to improve outcomes. JDQ443 is a structurally unique covalen…
View article: Supplementary Data from Discovery, Preclinical Characterization, and Early Clinical Activity of JDQ443, a Structurally Novel, Potent, and Selective Covalent Oral Inhibitor of KRAS<sup>G12C</sup>
Supplementary Data from Discovery, Preclinical Characterization, and Early Clinical Activity of JDQ443, a Structurally Novel, Potent, and Selective Covalent Oral Inhibitor of KRAS<sup>G12C</sup> Open
Supplementary Data from Discovery, Preclinical Characterization, and Early Clinical Activity of JDQ443, a Structurally Novel, Potent, and Selective Covalent Oral Inhibitor of KRASG12C
View article: Recovery of the nonlinearity from the modified scattering map
Recovery of the nonlinearity from the modified scattering map Open
We consider a class of one-dimensional nonlinear Schrödinger equations of the form \[ (i\partial_t+Δ)u = [1+a]|u|^2 u. \] For suitable localized functions $a$, such equations admit a small-data modified scattering theory, which incorporate…
View article: Supplementary Data from Discovery, Preclinical Characterization, and Early Clinical Activity of JDQ443, a Structurally Novel, Potent, and Selective Covalent Oral Inhibitor of KRAS<sup>G12C</sup>
Supplementary Data from Discovery, Preclinical Characterization, and Early Clinical Activity of JDQ443, a Structurally Novel, Potent, and Selective Covalent Oral Inhibitor of KRAS<sup>G12C</sup> Open
Supplementary Data from Discovery, Preclinical Characterization, and Early Clinical Activity of JDQ443, a Structurally Novel, Potent, and Selective Covalent Oral Inhibitor of KRASG12C
View article: Supplementary Data from Discovery, Preclinical Characterization, and Early Clinical Activity of JDQ443, a Structurally Novel, Potent, and Selective Covalent Oral Inhibitor of KRAS<sup>G12C</sup>
Supplementary Data from Discovery, Preclinical Characterization, and Early Clinical Activity of JDQ443, a Structurally Novel, Potent, and Selective Covalent Oral Inhibitor of KRAS<sup>G12C</sup> Open
Supplementary Data from Discovery, Preclinical Characterization, and Early Clinical Activity of JDQ443, a Structurally Novel, Potent, and Selective Covalent Oral Inhibitor of KRASG12C
View article: Supplementary Data from Discovery, Preclinical Characterization, and Early Clinical Activity of JDQ443, a Structurally Novel, Potent, and Selective Covalent Oral Inhibitor of KRAS<sup>G12C</sup>
Supplementary Data from Discovery, Preclinical Characterization, and Early Clinical Activity of JDQ443, a Structurally Novel, Potent, and Selective Covalent Oral Inhibitor of KRAS<sup>G12C</sup> Open
Supplementary Data from Discovery, Preclinical Characterization, and Early Clinical Activity of JDQ443, a Structurally Novel, Potent, and Selective Covalent Oral Inhibitor of KRASG12C
View article: Asymptotic stability of solitary waves for the <inline-formula><tex-math id="M1">$ 1d $</tex-math></inline-formula> NLS with an attractive delta potential
Asymptotic stability of solitary waves for the NLS with an attractive delta potential Open
We consider the one-dimensional nonlinear Schrödinger equation with an attractive delta potential and mass-supercritical nonlinearity. This equation admits a one-parameter family of solitary wave solutions in both the focusing and defocusi…
View article: Recovery of a spatially-dependent coefficient from the NLS scattering map
Recovery of a spatially-dependent coefficient from the NLS scattering map Open
We follow up on work of Strauss, Weder, and Watanabe concerning scattering and inverse scattering for nonlinear Schrödinger equations with nonlinearities of the form $α(x)|u|^p u$.
View article: Threshold solutions for the 3d cubic-quintic NLS
Threshold solutions for the 3d cubic-quintic NLS Open
We study the cubic-quintic NLS in three space dimensions. It is known that scattering holds for solutions with mass-energy in a region corresponding to positive virial, the boundary of which is delineated both by ground state solitons and …
View article: Recovery of a cubic nonlinearity for the nonlinear Schrödinger equation
Recovery of a cubic nonlinearity for the nonlinear Schrödinger equation Open
We consider the problem of recovering a spatially-localized cubic nonlinearity in a nonlinear Schrödinger equation in dimensions two and three. We prove that solutions with data given by small-amplitude wave packets accrue a nonlinear phas…
View article: The scattering map determines the nonlinearity
The scattering map determines the nonlinearity Open
Using the two-dimensional nonlinear Schrödinger equation (NLS) as a model example, we present a general method for recovering the nonlinearity of a nonlinear dispersive equation from its small-data scattering behavior. We prove that under …
View article: Averaging for the dispersion-managed NLS
Averaging for the dispersion-managed NLS Open
We establish global-in-time averaging for the $L^2$-critical dispersion-managed nonlinear Schrödinger equation in the fast dispersion management regime. In particular, in the case of nonzero average dispersion, we establish averaging with …
View article: Threshold solutions for the intercritical inhomogeneous NLS
Threshold solutions for the intercritical inhomogeneous NLS Open
We consider the focusing inhomogeneous nonlinear Schrödinger equation in $H^1(\mathbb{R}^3)$, \begin{equation} i\partial_t u + Δu + |x|^{-b}|u|^{2}u=0,{equation} where $0 < b <\tfrac{1}{2}$. Previous works have established a blowup/scatter…