Pointwise bounds and blow-up for nonlinear fractional parabolic inequalities

DOI10.1016/j.matpur.2019.05.012zbMath1437.35697arXiv1901.09964OpenAlexW2963545314MaRDI QIDQ2281157

Steven D. Taliaferro

Publication date: 19 December 2019

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.09964

zbMATH Keywords

blow-upparabolicpointwise boundsfractional heat operator

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Partial differential inequalities and systems of partial differential inequalities (35R45) A priori estimates in context of PDEs (35B45) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Positive solutions to PDEs (35B09) Fractional partial differential equations (35R11)

Related Items (4)

Strong dissipativity of generalized time-fractional derivatives and quasi-linear (stochastic) partial differential equations ⋮ Pointwise bounds and blow-up for systems of nonlinear fractional parabolic inequalities ⋮ Existence of nonnegative solutions of nonlinear fractional parabolic inequalities ⋮ Asymptotic behavior of non-autonomous fractional p-Laplacian equations driven by additive noise on unbounded domains

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fractional heat equations with subcritical absorption having a measure as initial data
• Extension properties and boundary estimates for a fractional heat operator
• Optimal results for the fractional heat equation involving the Hardy potential
• A parabolic problem with a fractional time derivative
• Asymptotic behavior and decay estimates of the solutions for a nonlinear parabolic equation with exponential nonlinearity
• Decay estimates for time-fractional and other non-local in time subdiffusion equations in \(\mathbb R^d\)
• Analytical study of solitons to nonlinear time fractional parabolic equations
• Global existence and non-existence for a higher-order parabolic equation with time-fractional term
• Remarks on the Cauchy problem for the one-dimensional quadratic (fractional) heat equation
• A priori estimates for fractional nonlinear degenerate diffusion equations on bounded domains
• On some degenerate non-local parabolic equation associated with the fractional \(p\)-Laplacian
• The blow-up and global existence of solutions of Cauchy problems for a time fractional diffusion equation
• The spaces \({\mathfrak L}^\alpha_{p,r}({\mathbb{R}}^{n+1})\) of parabolic potentials
• A nondivergence parabolic problem with a fractional time derivative.
• Hölder estimates for fractional parabolic equations with critical divergence free drifts
• Decay estimates for evolution equations with classical and fractional time-derivatives
• On the regularity of the non-dynamic parabolic fractional obstacle problem
• Decay estimates for evolutionary equations with fractional time-diffusion
• Classical solutions and higher regularity for nonlinear fractional diffusion equations
• On fractional \(p\)-Laplacian parabolic problem with general data
• Symmetrization for linear and nonlinear fractional parabolic equations of porous medium type
• Uniqueness in weighted Lebesgue spaces for a class of fractional parabolic and elliptic equations
• Long-time asymptotics for the nonlinear heat equation with a fractional Laplacian in a ball
• A Characterization of Parabolic Function Spaces
• The Decay of mass for a nonlinear fractional reaction–diffusion equation
• Optimal Decay Estimates for Time-Fractional and Other NonLocal Subdiffusion Equations via Energy Methods
• Regularity Theory and Extension Problem for Fractional Nonlocal Parabolic Equations and the Master Equation
• Solution of the first boundary value problem for a generalization of the heat equation in classes of functions possessing a fractional derivative with respect to the time-variable

This page was built for publication: Pointwise bounds and blow-up for nonlinear fractional parabolic inequalities