Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Marcos Solera"'
Publikováno v:
SeMA Journal. 79:3-35
Recently, motivated by problems in image processing, by the analysis of the peridynamic formulation of the continuous mechanic and by the study of Markov jump processes, there has been an increasing interest in the research of nonlocal partial differ
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https://explore.openaire.eu/search/publication?articleId=doi_________::eb38210c1696100f33eb9699121bb2c2
https://doi.org/10.1007/s40324-021-00272-z
https://doi.org/10.1007/s40324-021-00272-z
Autor:
Marcos Solera, Julián Toledo
We study the existence and uniqueness of mild and strong solutions of nonlocal nonlinear diffusion problems of p-Laplacian type with nonlinear boundary conditions posed in metric random walk spaces. These spaces include, among others, weighted discre
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6480027fce8a522fdd838a695d22ac54
This book presents the latest developments in the theory of gradient flows in random walk spaces. A broad framework is established for a wide variety of partial differential equations on nonlocal models and weighted graphs. Within this framework, spe
In this paper we study the Total Variation Flow (TVF) in metric random walk spaces, which unifies into a broad framework the TVF on locally finite weighted connected graphs, the TVF determined by finite Markov chains and some nonlocal evolution probl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::105b01873510327faa76afbe24d99d80
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 cor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9ec1e9fc8636a81f9eb11f9a2c718b4f
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 o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::60bf3978a8a4e418fe3f38382991ddfd
In this paper we study the Heat Flow on Metric Random Walk Spaces, which unifies into a broad framework the heat flow on locally finite weighted connected graphs, the heat flow determined by finite Markov chains and some nonlocal evolution problems.
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e5b5aac89810d10b902d41958adb1233
http://arxiv.org/abs/1806.01215
http://arxiv.org/abs/1806.01215