Finite time blow-up for damped wave equations with space-time dependent potential and nonlinear memory
From MaRDI portal
Publication:1729864
DOI10.1007/s00030-018-0533-7zbMath1415.35201OpenAlexW2885682372MaRDI QIDQ1729864
Mukhtar Bin Muhammad Kirane, Ihab Dannawi, Ahmad Z. Fino
Publication date: 28 February 2019
Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00030-018-0533-7
Critical exponents in context of PDEs (35B33) Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)
Related Items (6)
Behavior of solutions to semilinear evolution inequalities in an annulus: the critical cases ⋮ A competition on blow-up for semilinear wave equations with scale-invariant damping and nonlinear memory term ⋮ Interplay effects on blow-up of weakly coupled systems for semilinear wave equations with general nonlinear memory terms ⋮ Unnamed Item ⋮ On the exponential stability of a nonlinear Kuramoto-Sivashinsky-Korteweg-de Vries equation with finite memory ⋮ Blow-up results for effectively damped wave models with nonlinear memory
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Critical exponent for damped wave equations with nonlinear memory
- Global existence for elastic waves with memory
- Asymptotic behavior of solutions to the semilinear wave equation with time-dependent damping
- Decay of mass for nonlinear equation with fractional Laplacian
- Decay and stability for nonlinear hyperbolic equations
- Existence of a solution of the wave equation with nonlinear damping and source terms
- Breakdown of solutions to \(\square u+u_ t=| u| ^{1+\alpha}\)
- Critical exponent for the semilinear wave equation with time-dependent damping
- Global existence of solutions for semilinear damped wave equations in \(\mathbb R^N\) with noncompactly supported initial data
- A wave equation with structural damping and nonlinear memory
- Critical exponents of Fujita type for certain evolution equations and systems with spatio-temporal fractional derivatives
- The influence of a nonlinear memory on the damped wave equation
- A blow-up result for a nonlinear wave equation with damping: The critical case
- Qualitative properties of solutions to a time-space fractional evolution equation
- Stability for second order abstract evolution equations
- Critical Exponent for Semilinear Wave Equations with Space-Dependent Potential
- On diffusion phenomena for the linear wave equation with space-dependent damping
- Critical exponent for a nonlinear wave equation with damping
- Nonexistence of weak solutions for some degenerate elliptic and parabolic problems on \(\mathbb{R}^n\)
This page was built for publication: Finite time blow-up for damped wave equations with space-time dependent potential and nonlinear memory
