Radial equivalence and applications to the qualitative theory for a class of nonhomogeneous reaction‐diffusion equations (Q6143249)

scientific article; zbMATH DE number 7793798

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English	Radial equivalence and applications to the qualitative theory for a class of nonhomogeneous reaction‐diffusion equations	scientific article; zbMATH DE number 7793798

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instance of

scholarly article

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title

Radial equivalence and applications to the qualitative theory for a class of nonhomogeneous reaction‐diffusion equations (English)

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Mathematical Methods in the Applied Sciences

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publication date

23 January 2024

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full work available at URL

https://arxiv.org/abs/2212.10644

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zbMATH Keywords

Hardy-Hénon equations

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nonhomogeneous porous medium

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radially symmetric solutions

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reaction-diffusion equations

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self-similar solutions

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weighted reaction

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MaRDI profile type

MaRDI publication profile

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cites work

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Nonlinear thermal evolution in an inhomogeneous medium

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Large time behavior for a porous medium equation in a nonhomogeneous medium with critical density

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Asymptotic behavior for the critical nonhomogeneous porous medium equation in low dimensions

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Long time behavior for the inhomogeneous PME in a medium with rapidly decaying density

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The Cauchy problem for the inhomogeneous porous medium equation

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Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld

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The behavior of the life span for solutions to \(u_t=\Delta u+a(x) u^p\) in \(\mathbb{R}^d\)

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Blowing up at zero points of potential for an initial boundary value problem

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Excluding blowup at zero points of the potential by means of Liouville-type theorems

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Refined construction of type II blow-up solutions for semilinear heat equations with Joseph-Lundgren supercritical nonlinearity

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The Heat Equation with a Singular Potential

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Existence versus explosion instantanée pour des équations de la chaleur linéaires avec potentiel singulier

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Doubly nonlinear parabolic equations with singular lower order term.

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Asymptotically self-similar global solutions for Hardy-Hénon parabolic systems

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Optimal well-posedness and forward self-similar solution for the Hardy-Hénon parabolic equation in critical weighted Lebesgue spaces

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Identifiers

arXiv ID

2212.10644

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6143249