Existence of solutions for parabolic equations of Kirchhoff type involving variable exponent
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Publication:5890534
DOI10.1080/00036811.2015.1022153zbMath1334.35079OpenAlexW1971938606WikidataQ58286149 ScholiaQ58286149MaRDI QIDQ5890534
Publication date: 21 March 2016
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2015.1022153
Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Weak solutions to PDEs (35D30)
Related Items (13)
On initial inverse problem for nonlinear couple heat with Kirchhoff type ⋮ Existence and asymptotic behaviour for a Kirchhoff type equation with variable critical growth exponent ⋮ Blow-up for the Timoshenko-type equation with variable exponents ⋮ Asymptotic behavior of solutions for a new general class of parabolic Kirchhoff type equation with variable exponent sources ⋮ Upper and lower bounds of blow-up time to a parabolic type Kirchhoff equation with arbitrary initial energy ⋮ On a backward problem for the Kirchhoff's model of parabolic type ⋮ Blow-up properties of solutions to a class of \(p\)-Kirchhoff evolution equations ⋮ 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 ⋮ GLOBAL EXISTENCE AND FINITE TIME BLOW-UP OF SOLUTIONS TO A NONLOCAL P-LAPLACE EQUATION ⋮ Lifespan of solutions to a parabolic type Kirchhoff equation with time-dependent nonlinearity ⋮ Global existence and blow-up of solutions for a \(\mathtt{p}\)-Kirchhoff type parabolic equation with logarithmic nonlinearity ⋮ Global existence and stability of solution for a nonlinear Kirchhoff type reaction-diffusion equation with variable exponents
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