Existence, symmetries, and asymptotic properties of global solutions for a fractional diffusion equation with gradient nonlinearity
type: Item
instance of: scholarly article
title: Existence, symmetries, and asymptotic properties of global solutions for a fractional diffusion equation with gradient nonlinearity
zbMATH Open document ID: 1462.35438
author: Halley Gomes
author: Arlúcio Viana
published in: SN Partial Differential Equations and Applications
publication date: 2021-05-03T00:00:00Z
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35K58
Mathematics Subject Classification ID: 35B06
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35A01
zbMATH DE Number: 7341724
zbMATH Keywords: global existence
zbMATH Keywords: uniqueness
zbMATH Keywords: spatial decay
zbMATH Keywords: viscous Hamilton-Jacobi equation
zbMATH Keywords: fractional reaction-diffusion
Wikidata QID: Q114216512
MaRDI profile type: Publication
full work available at URL: s42985-020-00067-3
OpenAlex ID: W3126595844
cites work: Q3027518
cites work: Temporal and spatial decays for the Navier–Stokes equations
cites work: Global solutions to viscous hamilton-jacob1 equations with irregular initial data
cites work: Asymptotic profiles of solutions to viscous Hamilton--Jacobi equations
cites work: The local theory for viscous Hamilton--Jacobi equations in Lebesgue spaces.
cites work: Asymptotic properties of solutions of the viscous Hamilton-Jacobi equation
cites work: Existence and regularity results for viscous Hamilton-Jacobi equations with Caputo time-fractional derivative
cites work: An equation whose Fujita critical exponent is not given by scaling
cites work: Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations
cites work: Some Blowup Results for a Nonlinear Parabolic Equation with a Gradient Term
cites work: On a fractional reaction-diffusion equation
cites work: Self-similarity, symmetries and asymptotic behavior in Morrey spaces for a fractional wave equation.
cites work: Self-similar solutions for a superdiffusive heat equation with gradient nonlinearity
cites work: Self-similar solutions, uniqueness and long-time asymptotic behavior for semilinear heat equations.
cites work: Well-posedness of Hamilton–Jacobi equations with Caputo’s time fractional derivative
cites work: The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
cites work: Fractional diffusion and wave equations
cites work: Asymptotically self-similar global solutions of a semilinear parabolic equation with a nonlinear gradient term
cites work: Large time behavior of solutions for parabolic equations with nonlinear gradient terms
cites work: Q4715372
cites work: Existence of a stable blow-up profile for the nonlinear heat equation with a critical power nonlinear gradient term
cites work: A local theory for a fractional reaction-diffusion equation
cites work: The blow-up and global existence of solutions of Cauchy problems for a time fractional diffusion equation
DOI: 10.1007/S42985-020-00067-3
Recommended article: Global existence and convergence results for a class of nonlinear time fractional diffusion equation
Recommended article: Asymptotic symmetry for a class of nonlinear fractional reaction-diffusion equations
Recommended article: A nonlinear fractional diffusion equation: well-posedness, comparison results, and blow-up
Recommended article: Q2991095
Recommended article: Existence of global solutions and blow-up of solutions for coupled systems of fractional diffusion equations
Recommended article: Existence and uniqueness results for a time-fractional nonlinear diffusion equation
Recommended article: Global existence and asymptotic behavior for a time fractional reaction-diffusion system
Recommended article: Global solutions of nonlinear fractional diffusion equations with time-singular sources and perturbed orders
Recommended article: Global existence and asymptotic behavior of weak solutions for time-space fractional Kirchhoff-type diffusion equations
Recommended article: Global existence and asymptotic behavior for a fractional differential equation
description: scientific article; zbMATH DE number 7341724