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Blow-up and global existence for the inhomogeneous porous medium equation with reaction - MaRDI portal

Blow-up and global existence for the inhomogeneous porous medium equation with reaction (Q4989047)

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scientific article; zbMATH DE number 7350224

Language	Label	Description	Also known as
English	Blow-up and global existence for the inhomogeneous porous medium equation with reaction	scientific article; zbMATH DE number 7350224

Statements

scholarly article

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Giulia Meglioli

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publication date

20 May 2021

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full work available at URL

https://arxiv.org/abs/2007.12005

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https://www1.mat.uniroma1.it/ricerca/rendiconti/42_3-4_(2021)_271-292.html

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zbMATH Keywords

sub-supersolutions

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power-like reaction term

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MaRDI profile type

MaRDI publication profile

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arXiv classification

math.AP

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Universal bounds at the blow-up time for nonlinear parabolic equations

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The Cauchy problem for a nonhomogeneous heat equation with reaction

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The Cauchy problem for the nonlinear filtration equation in an inhomogeneous medium

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The Filtration Equation in a Class of Functions Decreasing at Infinity

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Continuation of blowup solutions of nonlinear heat equations in several space dimensions

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Porous media equations with two weights: smoothing and decay properties of energy solutions via Poincaré inequalities

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On the asymptotic behaviour of solutions to the fractional porous medium equation with variable density

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Fractional porous media equations: existence and uniqueness of weak solutions with measure data

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Blow-up and global existence for the porous medium equation with reaction on a class of Cartan-Hadamard manifolds

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On nonexistence of global solutions of some semilinear parabolic differential equations

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Blow up profiles for a quasilinear reaction-diffusion equation with weighted reaction with linear growth

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On the Cauchy problem for a class of parabolic equations with variable density

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Admissible conditions for parabolic equations degenerating at infinity

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Prescribed conditions at infinity for parabolic equations

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Dirichlet conditions at infinity for parabolic and elliptic equations

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

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Propagation of thermal waves in an inhomogeneous medium

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Non-linear diffusion in a finite mass medium

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Nonlinear thermal evolution in an inhomogeneous medium

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The Cauchy problem for a degenerate parabolic equation with inhomogeneous density and source in the class of slowly decaying initial data

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On the behavior of solutions of the Cauchy problem for a degenerate parabolic equation with source in the case where the initial function slowly vanishes

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Nonexistence of solutions to parabolic differential inequalities with a potential on Riemannian manifolds

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Blow-up and global existence for solutions to the porous medium equation with reaction and slowly decaying density

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On the uniqueness of bounded solutions to singular parabolic problems

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Criteria for well-posedness of degenerate elliptic and parabolic problems

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Uniqueness and nonuniqueness of solutions to parabolic problems with singular coefficients

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Blow-up of nonnegative solutions to quasilinear parabolic inequalities

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On the Cauchy problem for nonlinear parabolic equations with variable density

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The Cauchy problem for the inhomogeneous porous medium equation

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Critical Fujita exponents of degenerate and singular parabolic equations

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Identifiers

zbMATH Open document ID

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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:4989047

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