0000000000860105

AUTHOR

Marcos Solera

showing 2 related works from this author

Evolution problems of Leray-Lions type with nonhomogeneous Neumann boundary conditions in metric random walk spaces

2019

Abstract In this paper we study evolution problems of Leray–Lions type with nonhomogeneous Neumann boundary conditions in the framework of metric random walk spaces. This covers cases with the p -Laplacian operator in weighted discrete graphs and nonlocal operators with nonsingular kernel in R N .

Pure mathematicsKernel (set theory)Applied Mathematics010102 general mathematicsMathematics::Analysis of PDEsType (model theory)Random walk01 natural scienceslaw.invention010101 applied mathematicsMathematics - Analysis of PDEsInvertible matrixlawMetric (mathematics)Neumann boundary conditionFOS: Mathematics0101 mathematicsLaplace operatorAnalysis35K55 47H06 47J35MathematicsAnalysis of PDEs (math.AP)
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$(BV,L^p)$-decomposition, $p=1,2$, of Functions in Metric Random Walk Spaces

2019

In this paper we study the $(BV,L^p)$-decomposition, $p=1,2$, of functions in metric random walk spaces, a general workspace that includes weighted graphs and nonlocal models used in image processing. We obtain the Euler-Lagrange equations of the corresponding variational problems and their gradient flows. In the case $p=1$ we also study the associated geometric problem and the thresholding parameters.

Discrete mathematicsApplied MathematicsImage processingWorkspaceRandom walkThresholding05C80 35R02 05C21 45C99 26A45Mathematics - Analysis of PDEsMetric (mathematics)Decomposition (computer science)FOS: MathematicsAnalysisMathematicsAnalysis of PDEs (math.AP)
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