Blow-up analysis for a system of heat equations coupled through a nonlinear boundary condition
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Publication:5938898
DOI10.1016/S0893-9659(00)00131-2zbMath0980.35075WikidataQ61635679 ScholiaQ61635679MaRDI QIDQ5938898
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Publication date: 7 August 2001
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60)
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Cites Work
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- The blow-up rate for a semilinear parabolic system
- A Fujita type global existence-global nonexistence theorem for a weakly coupled system of reaction-diffusion equations
- On critical exponents for a semilinear parabolic system coupled in an equation and a boundary condition
- Blow-up rates for parabolic systems
- Remarks on the blowup estimate for solution of the heat equation with a nonlinear boundary condition
- The role of critical exponents in blow-up theorems: The sequel
- Blow-up behaviour of one-dimensional semilinear parabolic equations
- Asymptotically self‐similar blow‐up of semilinear heat equations
- Nonlinear elliptic boundary-value problems in unbounded domains
- The blow-up rate for a system of heat equations with nonlinear boundary conditions
- The Profile Near Blowup Time for Solution of the Heat Equation with a Nonlinear Boundary Condition
- Global existence and blow‐up for a system of heat equations with non‐linear boundary conditions
- Global existence and blow up of solutions for a completely coupled Fujita type system of reaction-diffusion equations
- The blow‐up rate for the heat equation with a non‐linear boundary condition
- Reaction diffusion systems with nonlinear boundary conditions
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