Local existence, global existence and blow-up of solutions to a nonlocal Kirchhoff diffusion problem (Q5212996)

scientific article; zbMATH DE number 7160998

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English	Local existence, global existence and blow-up of solutions to a nonlocal Kirchhoff diffusion problem	scientific article; zbMATH DE number 7160998

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instance of

scholarly article

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title

Local existence, global existence and blow-up of solutions to a nonlocal Kirchhoff diffusion problem (English)

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31 January 2020

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zbMATH Keywords

Kirchhoff-type diffusion problem

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nonlocal integro-differential operator

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local existence

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global existence

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blow-up

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1088/1361-6544/ab5920

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cites work

Q5318420

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Q4826746

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Blowup, extinction and non-extinction for a nonlocal $p$-biharmonic parabolic equation

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Non-local Diffusions, Drifts and Games

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Existence theorems for entire solutions of stationary Kirchhoff fractional $p$-Laplacian equations

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Local density of solutions to fractional equations

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Existence and symmetry results for a Schr\"odinger type problem involving the fractional Laplacian

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Global existence and blow-up for a mixed pseudo-parabolic $p$-Laplacian type equation with logarithmic nonlinearity

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Global existence and blow-up for a parabolic problem of Kirchhoff type with logarithmic nonlinearity

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Global existence and finite time blow-up for a class of thin-film equation

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Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian

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Global existence and blow-up of solutions to a nonlocal parabolic equation with singular potential

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A fractional Kirchhoff problem involving a singular term and a critical nonlinearity

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On certain nonlocal Hardy-Sobolev critical elliptic Dirichlet problems

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$p$-fractional Kirchhoff equations involving critical nonlinearities

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A critical Kirchhoff type problem involving a nonlocal operator

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Q3933274

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Blow-up and global existence of solutions to a parabolic equation associated with the fraction $p$-Laplacian

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Fractional quantum mechanics and Lévy path integrals

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Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)

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Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations

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Vector continued fractions using a generalized inverse

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Variational Methods for Nonlocal Fractional Problems

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Hitchhiker's guide to the fractional Sobolev spaces

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Saddle points and instability of nonlinear hyperbolic equations

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Critical stationary Kirchhoff equations in $\mathbb R^N$ involving nonlocal operators

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Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN

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Mountain pass solutions for non-local elliptic operators

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Variational methods for non-local operators of elliptic type

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On the spectrum of two different fractional operators

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Weak and viscosity solutions of the fractional Laplace equation

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Infinitely many solutions for the stationary Kirchhoff problems involving the fractional<i>p</i>-Laplacian

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

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Fractional Kirchhoff problems with critical Trudinger-Moser nonlinearity

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Multiplicity of solutions for a class of quasilinear Kirchhoff system involving the fractional<i>p</i>-Laplacian

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Ground state solutions for Kirchhoff-type equations with a general nonlinearity in the critical growth

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Global existence and blow-up of solutions for a Kirchhoff type plate equation with damping

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$L^{2}$-norm blow-up of solutions to a fourth order parabolic PDE involving the Hessian

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Global asymptotical behavior and some new blow-up conditions of solutions to a thin-film equation

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Global asymptotical behavior of solutions to a class of fourth order parabolic equation modeling epitaxial growth

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Identifiers

zbMATH Open document ID

1430.35124

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DOI

10.1088/1361-6544/ab5920

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5212996