Blow-up and global existence of solutions to degenerate Kirchhoff equation with variable source (Q6566707)

scientific article; zbMATH DE number 7875694

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English	Blow-up and global existence of solutions to degenerate Kirchhoff equation with variable source	scientific article; zbMATH DE number 7875694

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instance of

scholarly article

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title

Blow-up and global existence of solutions to degenerate Kirchhoff equation with variable source (English)

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Mediterranean Journal of Mathematics

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publication date

3 July 2024

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zbMATH Keywords

blow-up

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asymptotic behavior

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potential well method

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Threshold results for the existence of global and blow-up solutions to Kirchhoff equations with arbitrary initial energy

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GLOBAL EXISTENCE AND FINITE TIME BLOW-UP OF SOLUTIONS TO A NONLOCAL P-LAPLACE EQUATION

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Nonlocal \(p\)-Laplace equations depending on the \(L^p\) norm of the gradient

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Remarks on a nonlocal problem involving the Dirichlet energy

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Nonlocal Kirchhoff diffusion problems: local existence and blow-up of solutions

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On the non-linear vibration problem of the elastic string

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A note on the vibrating string

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On the asymptotic behaviour of some nonlocal problems

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Existence and uniqueness results for a class of nonlocal elliptic and parabolic problems

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Asymptotic behaviour of some nonlocal diffusion problems

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On a degenerate nonlocal parabolic equation with variable source

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Variable Lebesgue spaces. Foundations and harmonic analysis

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Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)

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On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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Nonlinear diffusion equations driven by the \(p(\cdot)\)-Laplacian

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Anisotropic parabolic equations with variable nonlinearity

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Blow-up of solutions to parabolic equations with nonstandard growth conditions

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Singular solutions in nonlinear parabolic equations with anisotropic nonstandard growth conditions

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A nonlinear diffusion problem with convection and anisotropic nonstandard growth conditions

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Singular properties of solutions for a parabolic equation with variable exponents and logarithmic source

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Finite-time blow-up and extinction rates of solutions to an initial Neumann problem involving the \(p(x,t)\)-Laplace operator and a non-local term

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Lebesgue and Sobolev spaces with variable exponents

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Classification of blow-up and global existence of solutions to an initial Neumann problem

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Q4429205

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Extinction of solutions of parabolic equations with variable anisotropic nonlinearities

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Upper bound estimate for the blow-up time of an evolution \(m\)-Laplace equation involving variable source and positive initial energy

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Potential well method for \(p ( x )\)-Laplacian equations with variable exponent sources

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A new method to obtain decay rate estimates for dissipative systems with localized damping

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Identifiers

zbMATH Open document ID

1542.35083

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Mathematics Subject Classification ID

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10.1007/S00009-024-02677-2

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Sitelinks

Mathematics(1 entry)

mardi Publication:6566707