Boundedness of global solutions for a heat equation with exponential gradient source

DOI10.1155/2012/398049zbMath1254.35122OpenAlexW2018653659WikidataQ58696516 ScholiaQ58696516MaRDI QIDQ655600

Zhengce Zhang, Yan-Yan Li

Publication date: 5 January 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/398049

zbMATH Keywords

one space dimensionlarge time behaviorLyapunov's functional

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)

Related Items (4)

Non-self-similar dead-core rate for the fast diffusion equation with dependent coefficient ⋮ Global existence and gradient blowup of solutions for a semilinear parabolic equation with exponential source ⋮ FINITE TIME BLOW-UP AND GLOBAL EXISTENCE OF WEAK SOLUTIONS FOR PSEUDO-PARABOLIC EQUATION WITH EXPONENTIAL NONLINEARITY ⋮ Single point gradient blow-up on the boundary for a Hamilton-Jacobi equation with $p$-Laplacian diffusion

Cites Work

• Rate estimates of gradient blowup for a heat equation with exponential nonlinearity
• Dynamic Scaling of Growing Interfaces
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