Global existence and comparison theorem for a nonlinear parabolic equation

DOI10.1017/S0004972700037278zbMath1043.35082arXivmath/0609247MaRDI QIDQ4435668

Abbas Moameni, Mahmoud Hesaaraki

Publication date: 17 November 2003

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609247

zbMATH Keywords

comparison principleGalerkin's methodexistence and uniqueness

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (1)

Blow up of positive solutions for a family of nonlinear parabolic equations in general domain in \(\mathbb{R}^N\)

Cites Work

• Observations on blow up and dead cores for nonlinear parabolic equations
• Global existence for a degenerate nonlinear diffusion problem with nonlinear gradient term and source
• Self-similar subsolutions and blowup for nonlinear parabolic equations
• Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
• The role of critical exponents in blow-up theorems: The sequel
• The Role of Critical Exponents in Blowup Theorems
• Blow-up for semilinear parabolic equations with a gradient term
• Global existence and decay for a nonlinear parabolic equation
• Remarks on a Nonlinear Parabolic Equation
• Some Blowup Results for a Nonlinear Parabolic Equation with a Gradient Term

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