Upper and lower bounds of blow-up time to a parabolic type Kirchhoff equation with arbitrary initial energy
From MaRDI portal
Publication:2203015
DOI10.1016/j.camwa.2018.08.043zbMath1442.35198OpenAlexW2889109241MaRDI QIDQ2203015
Zhe Sun, Yuzhu Han, Wen-jie Gao, Hai-Xia Li
Publication date: 1 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2018.08.043
Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) Blow-up in context of PDEs (35B44)
Related Items (21)
Lifespan of solutions to a damped plate equation with logarithmic nonlinearity ⋮ Study of weak solutions for degenerate parabolic inequalities with nonstandard conditions ⋮ Initial boundary value problem for a strongly damped wave equation with a general nonlinearity ⋮ Blow-up for a damped \(p\)-Laplacian type wave equation with logarithmic nonlinearity ⋮ Anomalous pseudo-parabolic Kirchhoff-type dynamical model ⋮ Global existence and asymptotic behavior of weak solutions for time-space fractional Kirchhoff-type diffusion equations ⋮ On a class of nonlocal parabolic equations of Kirchhoff type: Nonexistence of global solutions and blow‐up ⋮ Initial boundary value problem for a damped wave equation with logarithmic nonlinearity ⋮ Asymptotic behavior of solutions for a new general class of parabolic Kirchhoff type equation with variable exponent sources ⋮ Global well-posedness of wave equation with weak and strong damping terms p-Laplacian and logarithmic nonlinearity source term ⋮ Blow‐up and energy decay for a class of wave equations with nonlocal Kirchhoff‐type diffusion and weak damping ⋮ Initial boundary value problem of pseudo‐parabolic Kirchhoff equations with logarithmic nonlinearity ⋮ Global existence and blow-up of solutions to a nonlocal Kirchhoff diffusion problem ⋮ Global existence and blow-up for a Kirchhoff-type hyperbolic problem with logarithmic nonlinearity ⋮ Global existence, blow-up and asymptotic behavior of solutions for a class of \(p(x)\)-Choquard diffusion equations in \(\mathbb{R}^N\) ⋮ Existence and non-existence of global solutions for a nonlocal Choquard-Kirchhoff diffusion equations in \(\mathbb{R}^N \) ⋮ Unnamed Item ⋮ Global existence and blow-up for a parabolic problem of Kirchhoff type with logarithmic nonlinearity ⋮ Initial boundary value problem of a class of mixed pseudo-parabolic Kirchhoff equations ⋮ Lifespan of solutions to a parabolic type Kirchhoff equation with time-dependent nonlinearity ⋮ Lifespan of solutions to a hyperbolic type Kirchhoff equation with arbitrarily high initial energy
Cites Work
- Unnamed Item
- Unnamed Item
- Blow-up phenomena for a nonlocal \(p\)-Laplace equation with Neumann boundary conditions
- Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
- On a global solution of some quasilinear hyperbolic equation
- Global solvability for the degenerate Kirchhoff equation with real analytic data
- A class of fourth-order parabolic equation with arbitrary initial energy
- Finite time blow-up for a thin-film equation with initial data at arbitrary energy level
- Threshold results for the existence of global and blow-up solutions to Kirchhoff equations with arbitrary initial energy
- Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
- Finite time blow-up for a class of parabolic or pseudo-parabolic equations
- Infinitely many sign-changing solutions for a class of biharmonic equation with \(p\)-Laplacian and Neumann boundary condition
- Remarks on a nonlocal problem involving the Dirichlet energy
- Blow-up and extinction for a thin-film equation with initial-boundary value conditions
- On global solvability of non‐linear viscoelastic equations in the analytic category
- Some remarks on the asymptotic behaviour of the solutions of a class of parabolic problems
- Existence of solutions for parabolic equations of Kirchhoff type involving variable exponent
This page was built for publication: Upper and lower bounds of blow-up time to a parabolic type Kirchhoff equation with arbitrary initial energy