Extinction and decay estimates of solutions for the \(p\)-Laplacian equations with nonlinear absorptions and nonlocal sources

DOI10.1155/2013/928080zbMath1470.35223OpenAlexW2003717305WikidataQ58917750 ScholiaQ58917750MaRDI QIDQ2319271

Xiulan Wu, Jun Fu

Publication date: 16 August 2019

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

Full work available at URL: https://doi.org/10.1155/2013/928080

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (1)

Extinction and asymptotic behavior of solutions for the \(\omega\)-heat equation on graphs with source and interior absorption

Cites Work

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• Extinction and non-extinction for a polytropic filtration equation with absorption and source
• Extinction properties of solutions for a class of fast diffusive \(p\)-Laplacian equations
• Degenerate parabolic equations
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• Global existence and extinction of weak solutions to a class of semiconductor equations with fast diffusion terms
• Non-extinction and critical exponent for a polytropic filtration equation
• Extinction behavior of solutions for the \(p\)-Laplacian equations with nonlocal sources
• Existence and nonexistence of solutions for \(u_ t=\text{div}(|\nabla u|^{p-2}\nabla u)+f(\nabla u,u,x,t)\)
• Extinction and decay estimates of solutions for a polytropic filtration equation with the nonlocal source and interior absorption
• \(L^\infty\) estimates of solution for the evolution \(m\)-Laplacian equation with initial value in \(L^q(\Omega)\)

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