Blow-up phenomena for a nonlocal \(p\)-Laplace equation with Neumann boundary conditions
From MaRDI portal
Publication:517474
DOI10.1007/S00013-016-0986-ZzbMath1366.35209OpenAlexW2555223108MaRDI QIDQ517474
Publication date: 23 March 2017
Published in: Archiv der Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00013-016-0986-z
Weak solutions to PDEs (35D30) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations with (p)-Laplacian (35K92) Integro-partial differential equations (35R09)
Related Items (17)
The Kirchhoff-type diffusion problem driven by a magnetic fractional Laplace operator ⋮ The lifespan of solutions for a viscoelastic wave equation with a strong damping and logarithmic nonlinearity ⋮ Blow-up of solutions to a \(p\)-Kirchhoff-type parabolic equation with general nonlinearity ⋮ A class of fourth-order parabolic equations with logarithmic nonlinearity ⋮ Global existence and blow-up of weak solutions for a pseudo-parabolic equation with high initial energy ⋮ Extinction and non-extinction of solutions to a fast diffusion \(p\)-Laplace equation with logarithmic non-linearity ⋮ Global existence, extinction, and non-extinction of solutions to a fast diffusion \(p\)-Laplace evolution equation with singular potential ⋮ Blow-up behavior for a degenerate parabolic systems subject to Neumann boundary conditions ⋮ Behavior of solutions to a Petrovsky equation with damping and variable-exponent sources ⋮ Blow‐up and energy decay for a class of wave equations with nonlocal Kirchhoff‐type diffusion and weak damping ⋮ A class of viscoelastic wave equations with exponential source and the nonlinear strong damping ⋮ Global existence and finite-time blowup for a mixed pseudo-parabolic \(r(x)\)-Laplacian equation ⋮ Upper and lower bounds of blow-up time to a parabolic type Kirchhoff equation with arbitrary initial energy ⋮ Blow-up properties of solutions to a class of \(p\)-Kirchhoff evolution equations ⋮ Global existence and blow-up of weak solutions for a class of fractional \(p\)-Laplacian evolution equations ⋮ A new blow-up criterion for non-Newton filtration equations with special medium void ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Non-extinction of solutions to a fast diffusive \(p\)-Laplace equation with Neumann boundary conditions
- Blow-up of a nonlocal semilinear parabolic equation with positive initial energy
- Extinction for a fast diffusion equation with a nonlinear nonlocal source
- Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
- Blow-up of solutions for a semilinear parabolic equation involving variable source and positive initial energy
- Blow-up of the solutions for a class of porous medium equations with positive initial energy
- Blow-up versus extinction in a nonlocal \(p\)-Laplace equation with Neumann boundary conditions
- Blow-up in a slow diffusive \(p\)-Laplace equation with the Neumann boundary conditions
- Existence and nonexistence of solutions for \(u_ t=\text{div}(|\nabla u|^{p-2}\nabla u)+f(\nabla u,u,x,t)\)
- Blow-up in a semilinear parabolic problem with variable source under positive initial energy
This page was built for publication: Blow-up phenomena for a nonlocal \(p\)-Laplace equation with Neumann boundary conditions