Fractional heat equations with subcritical absorption having a measure as initial data

DOI10.1016/j.na.2015.09.015zbMath1334.35369arXiv1401.7187OpenAlexW2963270227MaRDI QIDQ272716

Laurent Véron, Ying Wang, Huyuan Chen

Publication date: 20 April 2016

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.7187

zbMATH Keywords

self-similar solutionfractional heat equationDirac mass

Mathematics Subject Classification ID

Heat equation (35K05) Fractional partial differential equations (35R11) PDEs with measure (35R06)

Related Items (7)

Nonlinear boundary value problems relative to one dimensional heat equation ⋮ The density of the \((\alpha ,d,\beta)\)-superprocess and singular solutions to a fractional non-linear PDE ⋮ Fractional porous media equations: existence and uniqueness of weak solutions with measure data ⋮ Initial trace of positive solutions to fractional diffusion equations with absorption ⋮ Unstable ground state and blow up result of nonlocal Klein-Gordon equations ⋮ Pointwise bounds and blow-up for nonlinear fractional parabolic inequalities ⋮ Pointwise bounds and blow-up for systems of nonlinear fractional parabolic inequalities

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Local and global properties of solutions of heat equation with superlinear absorption
• Global heat kernel estimates for fractional Laplacians in unbounded open sets
• A Widder's type theorem for the heat equation with nonlocal diffusion
• Nonlinear parabolic equations involving measures as initial conditions
• Heat kernel estimates for the Dirichlet fractional Laplacian
• A very singular solution of the heat equation with absorption
• Semilinear fractional elliptic equations with gradient nonlinearity involving measures
• Semilinear fractional elliptic equations involving measures
• Fractal first-order partial differential equations
• Initial trace of solutions of semilinear heat equations with absorption
• Regularity of solutions to the parabolic fractional obstacle problem
• Regularity theory for parabolic nonlinear integral operators
• Some Theorems on Stable Processes
• Singular Solutions of the Heat Equation with Absorption
• Initial trace of positive solutions of some nonlinear parabolic equations
• Initial trace of positive solutions to semilinear parabolic inequalities
• RADIAL SYMMETRY OF POSITIVE SOLUTIONS TO EQUATIONS INVOLVING THE FRACTIONAL LAPLACIAN
• Weakly and strongly singular solutions of semilinear fractional elliptic equations
• Équations différentielles abstraites
• Fractional powers of operators

This page was built for publication: Fractional heat equations with subcritical absorption having a measure as initial data