NONLINEAR WAVE EQUATIONS AND REACTION–DIFFUSION EQUATIONS WITH SEVERAL NONLINEAR SOURCE TERMS OF DIFFERENT SIGNS AT HIGH ENERGY LEVEL
From MaRDI portal
Publication:2851123
DOI10.1017/S1446181113000175zbMath1273.35177OpenAlexW2098873834MaRDI QIDQ2851123
Ji-Hong Shen, Shao-bin Huang, Yanbing Yang, Jia Su, Shaohua Chen, Run-Zhang Xu
Publication date: 9 October 2013
Published in: The ANZIAM Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s1446181113000175
wave equationcomparison principlevariational methodreaction-diffusion equationfinite time blow-uphigh energy level
Related Items (13)
Exponential growth of solution of a strongly nonlinear generalized Boussinesq equation ⋮ Global behavior of the solutions to nonlinear wave equations with combined power-type nonlinearities with variable coefficients ⋮ Numerical solution of the space-time fractional diffusion equation based on fractional reproducing kernel collocation method ⋮ Asymptotic behavior and blowup for two generalized Ginzburg–Landau type equations with several nonlinear source terms ⋮ Global existence of solutions for 1-D nonlinear wave equation of sixth order at high initial energy level ⋮ Arbitrary energy global existence for wave equation with combined power-type nonlinearities of different signs ⋮ Global existence and blow up of the solution for nonlinear Klein-Gordon equation with general power-type nonlinearities at three initial energy levels ⋮ Green’s function solution of nonlinear wave equation depending on the absolute value of the unknown function ⋮ Global well-posedness for a class of Kirchhoff-type wave system ⋮ Sign-preserving functionals and blow-up to Klein–Gordon equation with arbitrary high energy ⋮ Blow up, exponential growth of solution for a reaction-diffusion equation with multiple nonlinearities ⋮ Hyperbolic and parabolic equations with several opposite-sign source at critical initial energy level in heat and vibrating systems ⋮ Global behavior of the solutions to nonlinear Klein-Gordon equation with critical initial energy
Cites Work
- Asymptotics for a class of non-linear evolution equations, with applications to geometric problems
- Existence and nonexistence of global solutions for the equation of dislocation of crystals
- Global solutions and finite time blow up for damped semilinear wave equations
- Wave equations and reaction-diffusion equations with several nonlinear source terms of different sign
- The Nonlinear Schrödinger Equation with Combined Power-Type Nonlinearities
- Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations
This page was built for publication: NONLINEAR WAVE EQUATIONS AND REACTION–DIFFUSION EQUATIONS WITH SEVERAL NONLINEAR SOURCE TERMS OF DIFFERENT SIGNS AT HIGH ENERGY LEVEL