Towards a deterministic KPZ equation with fractional diffusion: the stationary problem
type: Item
instance of: scholarly article
title: Towards a deterministic KPZ equation with fractional diffusion: the stationary problem
zbMATH Open document ID: 1390.35392
author: Boumediene Abdellaoui
author: Ireneo Peral
published in: Nonlinearity
publication date: 2018-05-09T00:00:00Z
full work available at URL: https://arxiv.org/abs/1609.04561
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35J62
Mathematics Subject Classification ID: 35R09
Mathematics Subject Classification ID: 47G20
zbMATH DE Number: 6867565
zbMATH Keywords: fractional diffusion
zbMATH Keywords: nonlinear gradient terms
zbMATH Keywords: stationary KPZ equation
MaRDI profile type: Publication
OpenAlex ID: W2963362379
arXiv ID: 1609.04561
cites work: Multiplicity Result for Quasilinear Elliptic Problems with General Growth in the Gradient
cites work: On the fractional \(p\)-Laplacian equations with weight and general datum
cites work: Some remarks on elliptic problems with critical growth in the gradient
cites work: Weak Solutions of Some Quasilinear Elliptic Equations with Data Measures
cites work: Lévy Processes and Stochastic Calculus
cites work: Q3037899
cites work: Q3715516
cites work: Q3222581
cites work: Existence of bounded solutions for non linear elliptic unilateral problems
cites work: $L^\infty $ Estimate for Some Nonlinear Elliptic Partial Differential Equations and Application to an Existence Result
cites work: Existence and nonexistence of solutions for some nonlinear elliptic equations
cites work: Potential theory for the α-stable Schrödinger operator on bounded Lipschitz domains
cites work: Estimates of the Green function for the fractional Laplacian perturbed by gradient
cites work: Gradient estimates for harmonic and \(q\)-harmonic functions of symmetric stable processes.
cites work: Estimates and structure of \(\alpha\)-harmonic functions
cites work: Q3842692
cites work: Estimates on Green functions and Poisson kernels for symmetric stable processes
cites work: Semilinear fractional elliptic equations involving measures
cites work: Semilinear fractional elliptic equations with gradient nonlinearity involving measures
cites work: Hitchhiker's guide to the fractional Sobolev spaces
cites work: Q4219084
cites work: Nonlinear problems having natural growth in the gradient: an existence result when the source terms are small
cites work: Radial fractional Laplace operators and Hessian inequalities
cites work: Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators
cites work: Global Green’s Function Estimates
cites work: Elliptic Partial Differential Equations of Second Order
cites work: Existence and a priori estimate for elliptic problems with subquadratic gradient dependent terms
cites work: Solving the KPZ equation
cites work: Criteria of solvability for multidimensional Riccati equations
cites work: Fractal Hamilton-Jacobi-KPZ equations
cites work: Dynamic Scaling of Growing Interfaces
cites work: Gradient estimates of \(q\)-harmonic functions of fractional Schrödinger operator
cites work: A priori estimates for integro-differential operators with measurable kernels
cites work: Basic estimates for solutions of a class of nonlocal elliptic and parabolic equations
cites work: Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
cites work: Analysis.
cites work: Hardy inequalities for fractional integrals on general domains
cites work: Capacitary inequalities for fractional integrals, with applications to partial differential equations and Sobolev multipliers
cites work: Quasilinear Riccati type equations with distributional data in Morrey space framework
cites work: Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
cites work: Q5607484
cites work: Q3001447
cites work: Burgers-KPZ turbulence. Göttingen lectures
DOI: 10.1088/1361-6544/AA9D62
description: scientific article; zbMATH DE number 6867565