300 citations
- University of CalgaryCA14 papers
- Universidad de GuadalajaraMX12 papers
- Universidad Complutense de MadridES10 papers
- Western UniversityCA10 papers
- Canadian Institute for Advanced ResearchCA7 papers
- Thunder Bay Regional Research InstituteCA7 papers
- Max Planck Institute for the Science of LightDE6 papers
- Memorial University of NewfoundlandCA5 papers
- University of TorontoCA5 papers
- University of WaterlooCA5 papers
- Guangxi Normal UniversityCN4 papers
- Koç UniversityTR4 papers
6 papers · 1 filter
Average-distance problem with curvature penalization for data parameterization: regularity of minimizers
Xinyang Lu, Dejan Slepcev
We propose a model for finding one-dimensional structure in a given measure. Our approach is based on minimizing an objective functional which combines the average-distance functio…
Regularity and monotonicity for solutions to a continuum model of epitaxial growth with nonlocal elastic effects
Yuan Gao, Xin Yang Lu, Chong Wang
We study a nonlocal 4th order degenerate equation deriving from the epitaxial growth on crystalline materials. We first prove the global existence of evolution variational inequali…
Real order (an)-isotropic total variation in image processing - Part I: analytical analysis and functional properties
Pan Liu, Xin Yang Lu
In this paper, a variational, multi-dimensional model for image reconstruction is proposed, in which the regularization term consists of the -order (an)-isotropic total variatio…
Gradient flow approach to an exponential thin film equation: global existence and latent singularity
Yuan Gao, Jian-Guo Liu, Xin Yang Lu
In this work, we study a fourth order exponential equation, derived from thin film growth on crystal surface in multiple space dimensions. We use the gradient flow…
Maximal monotone operator theory and its applications to thin film equation in epitaxial growth on vicinal surface
Yuan Gao, Jian-Guo Liu, Xin Yang Lu +1
In this work we consider which is derived from a thin film equation for epitaxial growth on vicinal surface. We formulate the pr…
Analytical validation of a 2+1 dimensional continuum model for epitaxial growth with elastic substrate
Elisa Davoli, Xin Yang Lu
An analytical validation is obtained for the evolution equation introduced in {\cite{TS}} by W.T. Tekalign and B.J. S…