Critical blow-up and global existence for discrete nonlinear \(p\)-Laplacian parabolic equations

DOI10.1155/2014/716327zbMath1419.35132OpenAlexW1986876783WikidataQ59037979 ScholiaQ59037979MaRDI QIDQ2321490

Soon-Yeong Chung

Publication date: 23 August 2019

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/716327

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Initial-boundary value problems for second-order parabolic equations (35K20) 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 ⋮ 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 ⋮ A complete characterization of Fujita's blow-up solutions for discrete \(p\)-Laplacian parabolic equations under the mixed boundary conditions on networks ⋮ A condition for blow-up solutions to discrete \(p\)-Laplacian parabolic equations under the mixed boundary conditions on networks

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Extinction and positivity of the solutions of the heat equations with absorption on networks
• Blow-up theories for semilinear parabolic equations
• Positive solutions for discrete boundary value problems involving the p-Laplacian with potential terms
• Extinction and positivity of solutions of the \(p\)-Laplacian evolution equation on networks
• Existence and nonexistence of global solutions for nonlinear parabolic equations
• Asymptotic behavior of blowup solutions of a parabolic equation with the \(p\)-Laplacian
• Blow-up for the ω-heat equation with Dirichlet boundary conditions and a reaction term on graphs
• 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

This page was built for publication: Critical blow-up and global existence for discrete nonlinear \(p\)-Laplacian parabolic equations