Existence theory for nonlinear functional boundary value problems
Electronic Journal of Qualitative Theory of Differential Equations, 2004 In this paper the existence of a solution of a general nonlinear functional two point boundary value problem is proved under mixed generalized Lipschitz and Carath\'eodory conditions.
Bapurao Dhage, Johnny Henderson
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Lipschitz continuity and convexity preserving for solutions of semilinear evolution equations in the Heisenberg group [PDF]
, 2016 Qing Liu, Juan J. Manfredi, Xiaodan Zhou
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SDFs from Unoriented Point Clouds using Neural Variational Heat Distances
Computer Graphics Forum, EarlyView.We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from unoriented point clouds. We first compute a small time step of heat flow (middle) and then use its gradient directions to solve for a neural SDF (right). Abstract We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from ...
Samuel Weidemaier +5 more
wiley +1 more source
Lipschitz estimates for convex functions with respect to vector fields
Bruno Pini Mathematical Analysis Seminar, 2012 We present Lipschitz continuity estimates for a class of convex functions with respect to Hörmander vector fields. These results have been recently obtained in collaboration with M. Scienza, [22].
Valentino Magnani
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On Metric Choice in Dimension Reduction for Fréchet Regression
International Statistical Review, EarlyView.Summary Fréchet regression is becoming a mainstay in modern data analysis for analysing non‐traditional data types belonging to general metric spaces. This novel regression method is especially useful in the analysis of complex health data such as continuous monitoring and imaging data.
Abdul‐Nasah Soale +3 more
wiley +1 more source
Exponential Attractor for Lattice System of Nonlinear Boussinesq Equation
Discrete Dynamics in Nature and Society, 2013 We study the lattice dynamical system of a nonlinear Boussinesq equation. We first verify the Lipschitz continuity of the continuous semigroup associated with the system.
Min Zhao, Shengfan Zhou
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Understanding the Effectiveness of Lipschitz-Continuity in Generative Adversarial Nets [PDF]
, 2018 Zhiming Zhou +7 more
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Online Optimization Problems with Functional Constraints under Relative Lipschitz Continuity and Relative Strong Convexity Conditions [PDF]
, 2023 Oleg Savchuk +5 more
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A Comparative Review of Specification Tests for Diffusion Models
International Statistical Review, EarlyView.Summary Diffusion models play an essential role in modelling continuous‐time stochastic processes in the financial field. Therefore, several proposals have been developed in the last decades to test the specification of stochastic differential equations.
A. López‐Pérez +3 more
wiley +1 more source
Loss of Regularity for the Continuity Equation with Non-Lipschitz Velocity Field [PDF]
, 2019 Giovanni Alberti +2 more
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