Critical exponents for non-simultaneous blow-up in a localized parabolic system
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Publication:1012059
DOI10.1016/j.na.2008.07.002zbMath1175.35011OpenAlexW2066221353MaRDI QIDQ1012059
Publication date: 14 April 2009
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2008.07.002
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Critical exponents in context of PDEs (35B33) Initial value problems for second-order parabolic equations (35K15)
Related Items (3)
Asymptotic results and critical Fujita exponent in parabolic equations with nonlocal nonlinearity ⋮ Blow-up results of the positive solution for a weakly coupled quasilinear parabolic system ⋮ Fujita blow-up solutions for a Dirichlet problem of parabolic equations with variable coefficients
Cites Work
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- Coexistence of simultaneous and nonsimultaneous blow-up in a semilinear parabolic system.
- The blowup property of solutions to some diffusion equations with localized nonlinear reactions
- Nonexistence of positive solutions to a semilinear elliptic system and blow-up estimates for a reaction-diffusion system
- Uniform blow-up profiles and boundary behavior for diffusion equations with nonlocal nonlinear source
- Blowup in diffusion equations: A survey
- A semilinear parabolic system in a bounded domain
- Total versus single point blow-up of solutions of a semilinear parabolic equation with localized reaction
- Blow-up rates for semilinear parabolic systems with nonlinear boundary conditions
- Critical exponents and asymptotic estimates of solutions to parabolic systems with localized nonlinear sources
- Optimal condition for non-simultaneous blow-up in a reaction-diffusion system
- The asymptotic behavior of blowup solution of localized nonlinear equation
- The role of critical exponents in blow-up theorems: The sequel
- Global existence and finite time blow up for a reaction-diffusion system
- Simultaneous and non-simultaneous blow-up for heat equations with coupled nonlinear boundary fluxes
- Non-simultaneous blow-up for a multi-coupled reaction-diffusion system
- Properties of blow up solutions to a parabolic system with nonlinear localized terms
- Nonsimultaneous blow-up for a quasilinear parabolic system with reaction at the boundary
- Blow-up in Nonlocal Reaction-Diffusion Equations
- The Profile Near Blowup Time for Solution of the Heat Equation with a Nonlinear Boundary Condition
- Blow-up rate estimates for semilinear parabolic systems
- Non-simultaneous blow-up in a semilinear parabolic system
- Blowup estimates for a semilinear reaction diffusion system
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