Global existence and blow-up of solutions for a semilinear parabolic system
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Publication:1806231
DOI10.1216/rmjm/1181071644zbMath0939.35087OpenAlexW1983942161MaRDI QIDQ1806231
Shaohua Chen, William R. Derrick
Publication date: 26 June 2000
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/Vol29-2/CONT29-2/CONT29-2.html
Asymptotic behavior of solutions to PDEs (35B40) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)
Related Items (5)
Global existence and blowup solutions for quasilinear parabolic equations ⋮ Radially symmetric solutions of \(\Delta w + |w|^{p-1}w = 0\) ⋮ Collapsing heat waves ⋮ Radially symmetric solutions of a nonlinear elliptic equation ⋮ A sufficient condition for blow up solutions of nonlinear heat equations
Cites Work
- Non-existence of global solutions to systems of semi-linear parabolic equations
- Single point blow-up for a semilinear initial value problem
- Geometric theory of semilinear parabolic equations
- Finite time blowup for semilinear reactive-diffusive systems
- A semilinear parabolic system in a bounded domain
- Blow-up estimates of positive solutions of a parabolic system
- Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
- Critical blowup and global existence numbers for a weakly coupled system of reaction-diffusion equations
- Nonexistence of positive solutions of semilinear elliptic systems in \(\mathbb{R}^ N\)
- An L∞ blow‐up estimate for a nonlinear heat equation
- A Criterion for Blow-Up of Solutions to Semilinear Heat Equations
- Global Existence and Boundedness in Reaction-Diffusion Systems
- On the stability and instability of positive steady states of a semilinear heat equation in ℝn
- Finite-Time Blowup for a Particular Parabolic System
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