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Brain anatomical feature detection by solving partial differential equations on general manifolds
1.  Department of Mathematics, UCLA, Los Angeles, CA 900951555, United States, United States 
2.  Department of Mathematics, UCLA, 520 Portola Plaza, Math Sciences Building 6363, Los Angeles, CA 90095, United States 
3.  Laboratory of Neuro Imaging and Department of Neurology, UCLA School of Medicine, Los Angeles, CA 900957334, United States 
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Paul Bracken. Connections of zero curvature and applications to nonlinear partial differential equations. Discrete & Continuous Dynamical Systems  S, 2014, 7 (6) : 11651179. doi: 10.3934/dcdss.2014.7.1165 
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Dimitra Antonopoulou, Georgia Karali. A nonlinear partial differential equation for the volume preserving mean curvature flow. Networks & Heterogeneous Media, 2013, 8 (1) : 922. doi: 10.3934/nhm.2013.8.9 
[3] 
Herbert Koch. Partial differential equations with nonEuclidean geometries. Discrete & Continuous Dynamical Systems  S, 2008, 1 (3) : 481504. doi: 10.3934/dcdss.2008.1.481 
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Wilhelm Schlag. Spectral theory and nonlinear partial differential equations: A survey. Discrete & Continuous Dynamical Systems  A, 2006, 15 (3) : 703723. doi: 10.3934/dcds.2006.15.703 
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Eugenia N. Petropoulou, Panayiotis D. Siafarikas. Polynomial solutions of linear partial differential equations. Communications on Pure & Applied Analysis, 2009, 8 (3) : 10531065. doi: 10.3934/cpaa.2009.8.1053 
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Arnulf Jentzen. Taylor expansions of solutions of stochastic partial differential equations. Discrete & Continuous Dynamical Systems  B, 2010, 14 (2) : 515557. doi: 10.3934/dcdsb.2010.14.515 
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Nguyen Thieu Huy, Ngo Quy Dang. Dichotomy and periodic solutions to partial functional differential equations. Discrete & Continuous Dynamical Systems  B, 2017, 22 (8) : 31273144. doi: 10.3934/dcdsb.2017167 
[8] 
Barbara AbrahamShrauner. Exact solutions of nonlinear partial differential equations. Discrete & Continuous Dynamical Systems  S, 2018, 11 (4) : 577582. doi: 10.3934/dcdss.2018032 
[9] 
Paul Bracken. Exterior differential systems and prolongations for three important nonlinear partial differential equations. Communications on Pure & Applied Analysis, 2011, 10 (5) : 13451360. doi: 10.3934/cpaa.2011.10.1345 
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Andrew Raich. Heat equations and the Weighted $\bar\partial$problem. Communications on Pure & Applied Analysis, 2012, 11 (3) : 885909. doi: 10.3934/cpaa.2012.11.885 
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YoonTae Jung, SooYoung Lee, EunHee Choi. Ricci curvature of conformal deformation on compact 2manifolds. Communications on Pure & Applied Analysis, 2020, 19 (6) : 32233231. doi: 10.3934/cpaa.2020140 
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Igor Kukavica. On Fourier parametrization of global attractors for equations in one space dimension. Discrete & Continuous Dynamical Systems  A, 2005, 13 (3) : 553560. doi: 10.3934/dcds.2005.13.553 
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Frédéric Mazenc, Christophe Prieur. Strict Lyapunov functions for semilinear parabolic partial differential equations. Mathematical Control & Related Fields, 2011, 1 (2) : 231250. doi: 10.3934/mcrf.2011.1.231 
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Enrique Zuazua. Controllability of partial differential equations and its semidiscrete approximations. Discrete & Continuous Dynamical Systems  A, 2002, 8 (2) : 469513. doi: 10.3934/dcds.2002.8.469 
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Michela Eleuteri, Pavel Krejčí. An asymptotic convergence result for a system of partial differential equations with hysteresis. Communications on Pure & Applied Analysis, 2007, 6 (4) : 11311143. doi: 10.3934/cpaa.2007.6.1131 
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Tomás Caraballo, José Real, T. Taniguchi. The exponential stability of neutral stochastic delay partial differential equations. Discrete & Continuous Dynamical Systems  A, 2007, 18 (2&3) : 295313. doi: 10.3934/dcds.2007.18.295 
[17] 
Yuhki Hosoya. Firstorder partial differential equations and consumer theory. Discrete & Continuous Dynamical Systems  S, 2018, 11 (6) : 11431167. doi: 10.3934/dcdss.2018065 
[18] 
Hernán R. Henríquez, Claudio Cuevas, Alejandro Caicedo. Asymptotically periodic solutions of neutral partial differential equations with infinite delay. Communications on Pure & Applied Analysis, 2013, 12 (5) : 20312068. doi: 10.3934/cpaa.2013.12.2031 
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Frédéric Gibou, Doron Levy, Carlos Cárdenas, Pingyu Liu, Arthur Boyer. Partial Differential EquationsBased Segmentation for Radiotherapy Treatment Planning. Mathematical Biosciences & Engineering, 2005, 2 (2) : 209226. doi: 10.3934/mbe.2005.2.209 
[20] 
Rongmei Cao, Jiangong You. The existence of integrable invariant manifolds of Hamiltonian partial differential equations. Discrete & Continuous Dynamical Systems  A, 2006, 16 (1) : 227234. doi: 10.3934/dcds.2006.16.227 
2018 Impact Factor: 1.008
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