Classification of blow-up and global existence of solutions to an initial Neumann problem
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Publication:2087607
DOI10.1016/j.jde.2022.08.036zbMath1500.35059arXiv2009.04624OpenAlexW4294883745MaRDI QIDQ2087607
Menglan Liao, Bin Guo, Jing-Jing Zhang, Wen-jie Gao
Publication date: 21 October 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.04624
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations with (p)-Laplacian (35K92)
Related Items (6)
Asymptotic estimate of weak solutions in a fourth-order parabolic equation with logarithm ⋮ Classification of initial energy to a pseudo-parabolic equation with \(p(x)\)-Laplacian ⋮ Asymptotic behavior of solutions for a new general class of parabolic Kirchhoff type equation with variable exponent sources ⋮ Global existence and blow-up of weak solutions for a fourth-order parabolic equation with gradient nonlinearity ⋮ Global existence and finite-time blowup for a mixed pseudo-parabolic \(r(x)\)-Laplacian equation ⋮ Note on a higher order pseudo‐parabolic equation with variable exponents
Cites Work
- Unnamed Item
- Unnamed Item
- Existence of solutions to an initial Dirichlet problem of evolutional \(p(x)\)-Laplace equations
- Variable Lebesgue spaces. Foundations and harmonic analysis
- Non-extinction of solutions to a fast diffusive \(p\)-Laplace equation with Neumann boundary conditions
- Finite-time blow-up and extinction rates of solutions to an initial Neumann problem involving the \(p(x,t)\)-Laplace operator and a non-local term
- Lebesgue and Sobolev spaces with variable exponents
- Blow-up of a nonlocal semilinear parabolic equation with positive initial energy
- A Gamma-convergence argument for the blow-up of a non-local semilinear parabolic equation with Neumann boundary conditions
- Blow-up of the solution for a \(p\)-Laplacian equation with positive initial energy
- Finite time blow-up and global solutions for semilinear parabolic equations with initial data at high energy level.
- Blow-up of solutions to parabolic equations with nonstandard growth conditions
- New diffusion models in image processing
- Compact sets in the space \(L^ p(0,T;B)\)
- Saddle points and instability of nonlinear hyperbolic equations
- A new method to obtain decay rate estimates for dissipative systems with localized damping
- Infinite-dimensional dynamical systems in mechanics and physics.
- Regularity results for parabolic systems related to a class of non-Newtonian fluids.
- A class of fourth-order parabolic equation with arbitrary initial energy
- Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
- Global and blow-up solutions to a \(p\)-Laplacian equation with nonlocal source
- Semilinear parabolic equations with prescribed energy
- Nonlinear diffusion equations driven by the \(p(\cdot)\)-Laplacian
- Blow-up of solutions for a semilinear parabolic equation involving variable source and positive initial energy
- Existence and localization of weak solutions of nonlinear parabolic equations with variable exponent of nonlinearity
- Blow-up versus extinction in a nonlocal \(p\)-Laplace equation with Neumann boundary conditions
- Potential well method for \(p ( x )\)-Laplacian equations with variable exponent sources
- Anisotropic parabolic equations with variable nonlinearity
- On global solution of nonlinear hyperbolic equations
- Blowup in a Partial Differential Equation with Conserved First Integral
- Critical exponents for a semilinear parabolic equation with variable reaction
- REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
- Blow-up in Nonlocal Reaction-Diffusion Equations
- Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
- Critical extinction and blow‐up exponents for fast diffusive p‐Laplacian with sources
- Variable Exponent, Linear Growth Functionals in Image Restoration
- Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
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