Asymptotic behaviour for the fractional heat equation in the Euclidean space
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Publication:5745158
DOI10.1080/17476933.2017.1393807zbMath1388.35216arXiv1708.00821OpenAlexW2962755620MaRDI QIDQ5745158
Publication date: 5 June 2018
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1708.00821
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Fractional partial differential equations (35R11)
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Fundamental solutions and decay of fully non-local problems ⋮ Evolution driven by the infinity fractional Laplacian ⋮ Upper heat kernel estimates for nonlocal operators via Aronson's method ⋮ Temporal monotonicity of the solutions of some semilinear parabolic equations with fractional diffusion ⋮ Self-similar solution for fractional Laplacian in cones ⋮ The variational approach to \(s\)-fractional heat flows and the limit cases \(s \rightarrow 0^+\) and \(s \rightarrow 1^-\) ⋮ Asymptotic profiles of nonlinear homogeneous evolution equations of gradient flow type ⋮ Removable singularities for solutions of the fractional heat equation in time varying domains ⋮ On the Cauchy problem for a class of semilinear second order evolution equations with fractional Laplacian and damping ⋮ Global existence, exponential decay and blow-up of solutions for a class of fractional pseudo-parabolic equations with logarithmic nonlinearity ⋮ Fractional thoughts
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