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

DOI10.1007/s00245-019-09603-zzbMath1469.35122OpenAlexW2970529528WikidataQ127317639 ScholiaQ127317639MaRDI QIDQ2041015

Jun Zhou, Hang Ding

Publication date: 15 July 2021

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-019-09603-z

zbMATH Keywords

blow-upglobal existencelogarithmic nonlinearityground-state solutionparabolic problem of Kirchhoff type

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Integro-differential operators (47G20) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Fractional partial differential equations (35R11)

Related Items (15)

Existence and decay of solutions for a parabolic type Kirchhoff equation with logarithmic nonlinearity ⋮ Well-posedness of solutions for the dissipative Boussinesq equation with logarithmic nonlinearity ⋮ Blowup for a Kirchhoff-type parabolic equation with logarithmic nonlinearity ⋮ Extinction and non-extinction of solutions to a fast diffusion \(p\)-Laplace equation with logarithmic non-linearity ⋮ Global existence and blow up for a class of pseudo-parabolic equations with logarithmic nonlinearity ⋮ Well‐posedness of solutions for a class of quasilinear wave equations with strong damping and logarithmic nonlinearity ⋮ Global solutions and blow-up for a coupled system of nonlinear hyperbolic equations with weak damping ⋮ Qualitative analysis of solutions to a nonlocal Choquard–Kirchhoff diffusion equations in ℝN$$ {\mathbb{R}}^N $$ ⋮ Initial boundary value problem of pseudo‐parabolic Kirchhoff equations with logarithmic nonlinearity ⋮ Unnamed Item ⋮ Global existence and blow-up for a Kirchhoff-type hyperbolic problem with logarithmic nonlinearity ⋮ Unnamed Item ⋮ Local existence, global existence and blow-up of solutions to a nonlocal Kirchhoff diffusion problem ⋮ Parabolic Kirchhoff equations with non-homogeneous flux boundary conditions: well-posedness, regularity and asymptotic behavior ⋮ Global attractors of the degenerate fractional Kirchhoff wave equation with structural damping or strong damping

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