Blow-up solutions and global solutions to discrete \(p\)-Laplacian parabolic equations

DOI10.1155/2014/351675zbMath1469.35133OpenAlexW1986071571WikidataQ59036439 ScholiaQ59036439MaRDI QIDQ1723912

Soon-Yeong Chung, Min-Jun Choi

Publication date: 14 February 2019

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

Full work available at URL: https://doi.org/10.1155/2014/351675

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (6)

A complete characterization of the discrete \(p\)-Laplacian parabolic equations with \(q\)-nonlocal reaction with respect to the blow-up property ⋮ A new condition for blow-up solutions to discrete semilinear heat equations on networks ⋮ Nonexistence of global solutions for a class of nonlinear parabolic equations on graphs ⋮ Blow-up Phenomena for Solutions of Discrete Nonlinear p-Laplacian Parabolic Equations on Networks ⋮ The discrete \(p\)-Schrödinger equations under the mixed boundary conditions on networks ⋮ Asymptotic estimates for the \(p\)-Laplacian on infinite graphs with decaying initial data

Cites Work

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• Extinction and positivity of the solutions of the heat equations with absorption on networks
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• Asymptotic behavior of blowup solutions of a parabolic equation with the \(p\)-Laplacian
• The Dirichlet boundary value problems forp-Schrödinger operators on finite networks
• Critical extinction and blow‐up exponents for fast diffusive p‐Laplacian with sources
• $\omega$-Harmonic Functions and Inverse Conductivity Problems on Networks
• A note on blow‐up for fast diffusive p‐Laplacian with sources

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