The quasilinear parabolic Kirchhoff equation

DOI10.1515/MATH-2017-0036zbMathNoneOpenAlexW2605817637MaRDI QIDQ527225

Łukasz Dawidowski

Publication date: 16 May 2017

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2017-0036

zbMATH Keywords

Kirchhoff equationquasi-linear parabolic equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial value problems for second-order parabolic equations (35K15)

Related Items (7)

On a Kirchhoff diffusion equation with integral condition ⋮ On a class of nonlocal parabolic equations of Kirchhoff type: Nonexistence of global solutions and blow‐up ⋮ On a backward problem for the Kirchhoff's model of parabolic type ⋮ Existence of solutions for \(p\)-Laplacian parabolic Kirchhoff equation ⋮ On a terminal value problem for a system of parabolic equations with nonlinear-nonlocal diffusion terms ⋮ On an initial and final value problem for fractional nonclassical diffusion equations of Kirchhoff type ⋮ On a degenerate nonlocal parabolic equation with variable source

Cites Work

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• Hyperbolic-parabolic singular perturbation for mildly degenerate Kirchhoff equations: Time-decay estimates
• An attractor for a nonlinear dissipative wave equation of Kirchhoff type
• Geometric theory of semilinear parabolic equations
• Elliptic partial differential equations of second order
• Hyperbolic-parabolic singular perturbation for nondegenerate Kirchhoff equations with critical weak dissipation
• Abstract Parabolic Evolution Equations and their Applications

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