Towards a deterministic KPZ equation with fractional diffusion: the stationary problem
From MaRDI portal
Publication:4639600
DOI10.1088/1361-6544/aa9d62zbMath1390.35392arXiv1609.04561OpenAlexW2963362379MaRDI QIDQ4639600
Boumediene Abdellaoui, Ireneo Peral Alonso
Publication date: 9 May 2018
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.04561
Smoothness and regularity of solutions to PDEs (35B65) Integro-differential operators (47G20) Quasilinear elliptic equations (35J62) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)
Related Items (18)
Fractional elliptic problems with nonlinear gradient sources and measures ⋮ An ODE approach for fractional Dirichlet problems with gradient nonlinearity ⋮ Unnamed Item ⋮ A note on quasilinear equations with fractional diffusion ⋮ A review of applications of fractional calculus in Earth system dynamics ⋮ On some nonlocal elliptic systems with gradient source terms ⋮ Fractional KPZ system with nonlocal ``gradient terms ⋮ Singular non local problem with gradient term ⋮ An approach to elliptic equations with nonlinear gradient terms via a modulation framework ⋮ Global endpoint regularity estimates for the fractional Dirichlet problem ⋮ Fractional KPZ equations with fractional gradient term and Hardy potential ⋮ Fractional KPZ equations with critical growth in the gradient respect to Hardy potential ⋮ Deterministic KPZ-type equations with nonlocal ``gradient terms ⋮ Nonlinear fractional Laplacian problems with nonlocal ‘gradient terms’ ⋮ Transport equations with nonlocal diffusion and applications to Hamilton-Jacobi equations ⋮ A capacity-based condition for existence of solutions to fractional elliptic equations with first-order terms and measures ⋮ Exit Problems as the Generalized Solutions of Dirichlet Problems ⋮ On the KPZ equation with fractional diffusion: global regularity and existence results
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Basic estimates for solutions of a class of nonlocal elliptic and parabolic equations
- Solving the KPZ equation
- Estimates of the Green function for the fractional Laplacian perturbed by gradient
- Radial fractional Laplace operators and Hessian inequalities
- Hitchhiker's guide to the fractional Sobolev spaces
- Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
- Some remarks on elliptic problems with critical growth in the gradient
- Quasilinear Riccati type equations with distributional data in Morrey space framework
- A priori estimates for integro-differential operators with measurable kernels
- Hardy inequalities for fractional integrals on general domains
- Existence of bounded solutions for non linear elliptic unilateral problems
- Burgers-KPZ turbulence. Göttingen lectures
- Estimates on Green functions and Poisson kernels for symmetric stable processes
- Existence and nonexistence of solutions for some nonlinear elliptic equations
- Criteria of solvability for multidimensional Riccati equations
- Nonlinear problems having natural growth in the gradient: an existence result when the source terms are small
- Gradient estimates for harmonic and \(q\)-harmonic functions of symmetric stable processes.
- Capacitary inequalities for fractional integrals, with applications to partial differential equations and Sobolev multipliers
- Semilinear fractional elliptic equations with gradient nonlinearity involving measures
- Gradient estimates of \(q\)-harmonic functions of fractional Schrödinger operator
- On the fractional \(p\)-Laplacian equations with weight and general datum
- Semilinear fractional elliptic equations involving measures
- Estimates and structure of \(\alpha\)-harmonic functions
- Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
- Existence and a priori estimate for elliptic problems with subquadratic gradient dependent terms
- Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators
- Dynamic Scaling of Growing Interfaces
- Multiplicity Result for Quasilinear Elliptic Problems with General Growth in the Gradient
- Lévy Processes and Stochastic Calculus
- $L^\infty $ Estimate for Some Nonlinear Elliptic Partial Differential Equations and Application to an Existence Result
- Weak Solutions of Some Quasilinear Elliptic Equations with Data Measures
- Elliptic Partial Differential Equations of Second Order
- Potential theory for the α-stable Schrödinger operator on bounded Lipschitz domains
- Global Green’s Function Estimates
- Fractal Hamilton-Jacobi-KPZ equations
This page was built for publication: Towards a deterministic KPZ equation with fractional diffusion: the stationary problem
