James M. Scott

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All published works

Action	Title	Year	Authors
+ PDF Chat	Nonlocal Problems with Local Boundary Conditions II: Green’s Identities and Regularity of Solutions	2025	James M. Scott Qiang Du
+ PDF Chat	Ohta–Kawasaki energy for amphiphiles: Asymptotics and phase-field simulations	2024	Qiang Du James M. Scott Zirui Xu
+ PDF Chat	Nonlocal Problems with Local Boundary Conditions I: Function Spaces and Variational Principles	2024	James M. Scott Qiang Du
+ PDF Chat	Existence and uniqueness of solutions to the Peierls–Nabarro model in anisotropic media	2024	Yuan Gao James M. Scott
+	Ohta-Kawasaki energy for amphiphiles: asymptotics and phase-field simulations	2024	Qiang Du James M. Scott Zirui Xu
+	Fractional Korn's inequalities without boundary conditions	2023	D. Harutyunyan Tadele Mengesha Hayk Mikayelyan James M. Scott

Common Coauthors

Coauthor	Papers Together
Qiang Du	4
Zirui Xu	2
Yuan Gao	1
Tadele Mengesha	1
Hayk Mikayelyan	1
D. Harutyunyan	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Measure Theory and Fine Properties of Functions, Revised Edition	2015	Lawrence C. Evans Ronald Gariepy	3
+ PDF Chat	Mathematics of Smoothed Particle Hydrodynamics: A Study via Nonlocal Stokes Equations	2019	Qiang Du Xiaochuan Tian	2
+ PDF Chat	How to Approximate the Heat Equation with Neumann Boundary Conditions by Nonlocal Diffusion Problems	2007	Carmen Cortázar Manuel Elgueta Julio D. Rossi Noemí Wolanski	2
+	Error Estimates for Spectral Convergence of the Graph Laplacian on Random Geometric Graphs Toward the Laplace–Beltrami Operator	2019	Nicolás García Trillos Moritz Gerlach Matthias Hein Dejan Slepčev	2
+	Hitchhikerʼs guide to the fractional Sobolev spaces	2011	Eleonora Di Nezza Giampiero Palatucci Enrico Valdinoci	2
+ PDF Chat	A Physically Consistent, Flexible, and Efficient Strategy to Convert Local Boundary Conditions into Nonlocal Volume Constraints	2020	Marta D’Elia Xiaochuan Tian Yue Yu	2
+ PDF Chat	Nonlocal Diffusion and Applications	2016	Claudia Bucur Enrico Valdinoci	2
+	A non-local model for a swarm	1999	Alexander Mogilner Leah Edelstein‐Keshet	2
+	The exit-time problem for a Markov jump process	2014	Nathanial Burch Marta D’Elia Richard B. Lehoucq	2
+	Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints	2012	Qiang Du Max Gunzburger Richard B. Lehoucq Kun Zhou	2
+ PDF Chat	A PDE Approach to Fractional Diffusion in General Domains: A Priori Error Analysis	2014	Ricardo H. Nochetto Enrique Otárola Abner J. Salgado	2
+	Function spaces and extension results for nonlocal Dirichlet problems	2018	Bartłomiej Dyda Moritz Kaßmann	2
+ PDF Chat	Variable Step Mollifiers and Applications	2020	Michael Hintermüller Kostas Papafitsoros Carlos N. Rautenberg	2
+ PDF Chat	Non-local Dirichlet forms and symmetric jump processes	2008	Martin T. Barlow Richard F. Bass Zhen-Qing Chen Moritz Kaßmann	2
+ PDF Chat	A restricted nonlocal operator bridging together the Laplacian and the fractional Laplacian	2021	José C. Bellido Alejandro Ortega	2
+	Trace Theorems for some Nonlocal Function Spaces with Heterogeneous Localization	2017	Xiaochuan Tian Qiang Du	2
+ PDF Chat	Convergence of the point integral method for Laplace–Beltrami equation on point cloud	2017	Zuoqiang Shi Jian Sun	2
+	Large Networks and Graph Limits	2012	László Lovász	2
+	Regularity theory for parabolic nonlinear integral operators	2011	Luis Caffarelli Chi Hin Chan Alexis Vasseur	2
+	A Review of Local-to-Nonlocal Coupling Methods in Nonlocal Diffusion and Nonlocal Mechanics	2021	Marta D’Elia Xingjie Li Pablo Seleson Xiaochuan Tian Yue Yu	2
+ PDF Chat	Cohesive Dynamics and Brittle Fracture	2015	Robert Lipton	2
+	Nonlocal Operators with Applications to Image Processing	2008	Guy Gilboa Stanley Osher	2
+ PDF Chat	Fractional Hardy-type and trace theorems for nonlocal function spaces with heterogeneous localization	2022	Qiang Du Tadele Mengesha Xiaochuan Tian	2
+ PDF Chat	On Neumann type problems for nonlocal equations set in a half space	2014	Guy Barles Emmanuel Chasseigne Christine Georgelin Espen R. Jakobsen	2
+	Princeton Mathematical Series	1948		2
+	Nonlocal Modeling, Analysis, and Computation	2019	Qiang Du	2
+ PDF Chat	Connections between nonlocal operators: from vector calculus identities to a fractional Helmholtz decomposition	2022	Marta D’Elia Mamikon Gulian Tadele Mengesha James M. Scott	2
+	Localization of nonlocal gradients in various topologies	2014	Tadele Mengesha Daniel Spector	2
+	Fractional Laplacians on domains, a development of Hörmander's theory of μ-transmission pseudodifferential operators	2014	Gerd Grubb	2
+ PDF Chat	Compactness for a class of integral functionals with interacting local and non-local terms	2023	Andrea Braides Gianni Dal Maso	2
+ PDF Chat	A blob method for diffusion	2019	José A. Carrillo Katy Craig Francesco S. Patacchini	2
+ PDF Chat	Nonlocal Diffusion Models with Consistent Local and Fractional Limits	2023	Qiang Du Xiaochuan Tian Zhi Zhou	2
+ PDF Chat	Nonlocal elliptic equations in bounded domains: a survey	2015	Xavier Ros‐Oton	2
+ PDF Chat	A blob method for the aggregation equation	2015	Katy Craig Andrea L. Bertozzi	2
+ PDF Chat	The Dirichlet problem for nonlocal operators	2014	Matthieu Felsinger Moritz Kaßmann P. W. Voigt	2
+	A new approach to Sobolev spaces and connections to $\mathbf\Gamma$ -convergence	2004	Augusto C. Ponce	2
+ PDF Chat	The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics	2004	Ralf Metzler J. Klafter	2
+ PDF Chat	Nonlocal Diffusion Problems	2010	Fuensanta Andreu-Vaillo José M. Mazón Julio D. Rossi J. Julián Toledo-Melero	2
+ PDF Chat	Improvement of Flatness for Nonlocal Phase Transitions	2020	Serena Dipierro Joaquim Serra Enrico Valdinoci	1
+ PDF Chat	Fractional Korn and Hardy-type inequalities for vector fields in half space	2018	Tadele Mengesha	1
+ PDF Chat	Rigidity of critical points for a nonlocal Ohta–Kawasaki energy	2017	Serena Dipierro Matteo Novaga Enrico Valdinoci	1
+ PDF Chat	Rigidity of minimizers in nonlocal phase transitions	2018	Ovidiu Savin	1
+ PDF Chat	A fractional Korn-type inequality for smooth domains and a regularity estimate for nonlinear nonlocal systems of equations	2022	Tadele Mengesha James M. Scott	1
+ PDF Chat	Existence and uniqueness of bounded stable solutions to the Peierls–Nabarro model for curved dislocations	2021	Hongjie Dong Yuan Gao	1
+ PDF Chat	Convergence Analysis and Numerical Studies for Linearly Elastic Peridynamics with Dirichlet-Type Boundary Conditions	2022	Mikil Foss Petronela Radu Yue Yu	1
+ PDF Chat	An Invitation to Optimal Transport, Wasserstein Distances, and Gradient Flows	2021	Alessio Figalli Federico Glaudo	1
+	Traces on General Sets in ${R}^n$ for Functions with no Differentiability Requirements	2021	Mikil Foss	1
+ PDF Chat	On the Ternary Ohta–Kawasaki Free Energy and Its One-dimensional Global Minimizers	2022	Zirui Xu Qiang Du	1
+ PDF Chat	Microscopic patterns in the 2D phase-field-crystal model	2022	Gabriel Martine La Boissonière Rustum Choksi Jean‐Philippe Lessard	1
+ PDF Chat	Existence and rigidity of the vectorial Peierls–Nabarro model for dislocations in high dimensions	2021	Yuan Gao Jian‐Guo Liu Zibu Liu	1