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Self-similar solutions for a superdiffusive heat equation with gradient nonlinearity

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Publication:2826986
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zbMath1388.35207arXiv1510.07207MaRDI QIDQ2826986

Arlúcio Viana, Marcelo Fernandes de Almeida

Publication date: 11 October 2016

Full work available at URL: https://arxiv.org/abs/1510.07207


zbMATH Keywords

self-similarityfractional partial differential equationsradial symmetrySobolev-Morrey spaces


Mathematics Subject Classification ID

Fractional partial differential equations (35R11) Symmetries, invariants, etc. in context of PDEs (35B06) Self-similar solutions to PDEs (35C06) Integro-partial differential equations (35R09)


Related Items (6)

On a fractional reaction-diffusion equation ⋮ Local/global existence analysis of fractional wave equations with exponential nonlinearity ⋮ The well-posedness for semilinear time fractional wave equations on \(\mathbb{R}^N\) ⋮ Existence, symmetries, and asymptotic properties of global solutions for a fractional diffusion equation with gradient nonlinearity ⋮ A local theory for a fractional reaction-diffusion equation ⋮ Global existence and blow-up of solutions for a system of fractional wave equations







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