Existence of nonnegative solutions for a fractional parabolic equation in the entire space

DOI10.1007/s11253-019-01708-6zbMath1503.35265OpenAlexW2996995210MaRDI QIDQ2100598

Tarek Kenzizi

Publication date: 24 November 2022

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-019-01708-6

zbMATH Keywords

potential theory of the fractional Laplacian

Mathematics Subject Classification ID

Fractional partial differential equations (35R11) Singular parabolic equations (35K67)

Related Items (3)

Multiplicity of nontrivial solutions for a class of fractional elliptic equations ⋮ Doob'sω-transform of parabolic problem for fractional Laplacian ⋮ A parabolic equation for the fractional Laplacian in the entire space: blow-up of nonnegative solutions

Cites Work

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• The asymptotic distribution of the eigenvalues for a class of Markov operators
• Perturbation theory for linear operators.
• The heat equation for the Dirichlet fractional Laplacian with negative potentials: existence and blow-up of nonnegative solutions
• Pointwise estimates for the ground state of singular Dirichlet fractional Laplacian
• Spectral Theory of Operators on Hilbert Spaces
• The Heat Equation with a Singular Potential
• Potential theory for the α-stable Schrödinger operator on bounded Lipschitz domains
• Existence versus explosion instantanée pour des équations de la chaleur linéaires avec potentiel singulier
• On a degenerate heat equation with a singular potential

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