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On the Fujita exponent for a Hardy-Hénon equation with a spatial-temporal forcing term - MaRDI portal

On the Fujita exponent for a Hardy-Hénon equation with a spatial-temporal forcing term (Q6108935)

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scientific article; zbMATH DE number 7705155

Language	Label	Description	Also known as
English	On the Fujita exponent for a Hardy-Hénon equation with a spatial-temporal forcing term	scientific article; zbMATH DE number 7705155

Statements

scholarly article

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On the Fujita exponent for a Hardy-Hénon equation with a spatial-temporal forcing term (English)

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Mohamed Majdoub

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publication date

30 June 2023

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full work available at URL

https://arxiv.org/abs/2204.00259

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zbMATH Keywords

polyharmonic heat equation

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generalized Hardy-Hénon equation

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fractional Laplacian

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local existence

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blow-up

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global solutions

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Fujita exponent

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MaRDI profile type

MaRDI publication profile

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Critical exponents of Fujita type for inhomogeneous parabolic equations and systems

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Well-posedness, global existence and large time behavior for Hardy-Hénon parabolic equations

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An equation whose Fujita critical exponent is not given by scaling

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Existence and blow-up for higher-order semilinear parabolic equations: Majorizing order-preserving operators

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The problem of blow-up in nonlinear parabolic equations

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Blow-up theories for semilinear parabolic equations

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Critical behavior for a semilinear parabolic equation with forcing term depending on time and space

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Ten equivalent definitions of the fractional Laplace operator

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The Role of Critical Exponents in Blowup Theorems

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Well-posedness and blow-up for an inhomogeneous semilinear parabolic equation

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Local well-posedness and global existence for the biharmonic heat equation with exponential nonlinearity

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Cauchy problem for a quasilinear parabolic equation with a source term and an inhomogeneous density

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On the behavior of solutions to the Cauchy problem for a degenerate parabolic equation with inhomogeneous density and a source

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Uniqueness and non-uniqueness of solutions for critical Hardy-Hénon parabolic equations

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Sur la non-unicité des solutions faibles de l'équation de la chaleur non linéaire avec non-linéarité u

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NON-UNIQUENESS FOR A CRITICAL NON-LINEAR HEAT EQUATION

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On the Cauchy Problem for Reaction-Diffusion Equations

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Semilinear evolution equations in Banach spaces

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The Navier-Stokes equations in the weak-\(L^n\) space with time-dependent external force

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On the generalized parabolic Hardy-Hénon equation: existence, blow-up, self-similarity and large-time asymptotic behavior.

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Blow up and global existence of solutions to an inhomogeneous parabolic system

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Identifiers

zbMATH Open document ID

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10.1007/s44007-023-00049-y

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6108935

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