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Anisotropic tempered diffusion equations (Q2199958)

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Language	Label	Description	Also known as
English	Anisotropic tempered diffusion equations	scientific article

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scholarly article

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Anisotropic tempered diffusion equations (English)

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Giandomenico Orlandi

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Antonio Marigonda

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Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods

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publication date

14 September 2020

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full work available at URL

https://arxiv.org/abs/2002.11584

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zbMATH Keywords

anisotropic spreading

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finite propagation speed

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optimal mass transport

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relativistic cost

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MaRDI profile type

MaRDI publication profile

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Existence of solutions to degenerate parabolic equations via the Monge-Kantorovich theory

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On a nonlinear flux-limited equation arising in the transport of morphogens

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A strongly degenerate quasilinear elliptic equation

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The Cauchy problem for a strongly degenerate quasilinear equation

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Some regularity results on the `relativistic' heat equation

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Finite propagation speed for limited flux diffusion equations

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A diffusion equation in transparent media

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The Dirichlet problem associated to the relativistic heat equation

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Radially Symmetric Solutions of a Tempered Diffusion Equation. A Porous Media, Flux-Limited Case

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Localization of solutions of anisotropic parabolic equations

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A Mathematical Study of the Relaxed Optical Flow Problem in the Space $BV (\Omega)$

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Kantorovich potentials and continuity of total cost for relativistic cost functions

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The optimal mass transport problem for relativistic costs

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Multiscale Analysis for Images on Riemannian Manifolds

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Analysis of a Class of Degenerate Parabolic Equations with Saturation Mechanisms

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Flux-saturated porous media equations and applications

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Pattern formation in a flux limited reaction-diffusion equation of porous media type

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Qualitative behaviour for flux-saturated mechanisms: travelling waves, waiting time and smoothing effects

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Local-in-time regularity results for some flux-limited diffusion equations of porous media type

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QUALITATIVE PROPERTIES OF THE SOLUTIONS OF A NONLINEAR FLUX-LIMITED EQUATION ARISING IN THE TRANSPORT OF MORPHOGENS

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Qualitative behavior and traveling waves for flux-saturated porous media equations arising in optimal mass transportation

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On the relativistic heat equation in one space dimension

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Uniqueness of renormalized solutions of degenerate elliptic-parabolic problems

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Convergence of the `relativistic' heat equation to the heat equation as \(c\to\infty\)

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An existence and uniqueness result for flux limited diffusion equations

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On the entropy conditions for some flux limited diffusion equations

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Convergence of flux limited porous media diffusion equations to its classical counterpart

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Existence and Uniqueness for a Crystalline Mean Curvature Flow

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Image Processing and Analysis

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Optimal transportation in \(\mathbb R^n\) for a distance cost with a convex constraint

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On a chemotaxis model with saturated chemotactic flux

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Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces

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Integral representation on \(BV(\Omega )\) of \(\Gamma\)-limits of variational integrals

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Anisotropic Sobolev embeddings and the speed of propagation for parabolic equations

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Effective equations for anisotropic glioma spread with proliferation: a multiscale approach and comparisons with previous settings

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Decomposition of images by the anisotropic Rudin-Osher-Fatemi model

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Finite Speed of Propagation and Waiting Time Phenomena for Degenerate Parabolic Equations with Linear Growth Lagrangian

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The Variational Formulation of the Fokker--Planck Equation

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FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES

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Total Variation Denoising in $l^1$ Anisotropy

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Diffusion front capturing schemes for a class of Fokker-Planck equations: application to the relativistic heat equation

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The Euler-Lagrange equation for the anisotropic least gradient problem

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Constructing a relativistic heat flow by transport time steps

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The anisotropic total variation flow

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Fronts propagating with signal dependent speed in limited diffusion and related Hamilton-Jacobi formulations

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A characterization of the Wulff shape by an overdetermined anisotropic PDE

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.NA.2020.111937

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Sitelinks

Mathematics(1 entry)

mardi Publication:2199958

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