Blow-up for the ω-heat equation with Dirichlet boundary conditions and a reaction term on graphs
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Publication:2875567
DOI10.1080/00036811.2013.842640zbMath1294.35181OpenAlexW1991370234MaRDI QIDQ2875567
Publication date: 8 August 2014
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2013.842640
Maximum principles in context of PDEs (35B50) Blow-up in context of PDEs (35B44) Comparison principles in context of PDEs (35B51) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)
Related Items (12)
Gradient estimates for Yamabe type equation on graphs ⋮ Blowup Behavior of Solutions to an $\omega$-diffusion Equation on the Graph ⋮ The existence and nonexistence of global solutions for a semilinear heat equation on graphs ⋮ A new condition for blow-up solutions to discrete semilinear heat equations on networks ⋮ Extinction and asymptotic behavior of solutions for the \(\omega\)-heat equation on graphs with source and interior absorption ⋮ Convergence of ground state solutions for nonlinear Schrödinger equations on graphs ⋮ Quenching of the solution to the discrete heat equation with logarithmic type sources on graphs ⋮ \(p\)-Laplacian equations on locally finite graphs ⋮ Blow-up problems for nonlinear parabolic equations on locally finite graphs ⋮ Critical blow-up and global existence for discrete nonlinear \(p\)-Laplacian parabolic equations ⋮ On-diagonal lower estimate of heat kernels for locally finite graphs and its application to the semilinear heat equations ⋮ Multiple solutions for a generalized Chern-Simons equation on graphs
Cites Work
- Extinction and positivity of the solutions of the heat equations with absorption on networks
- Blow-up theories for semilinear parabolic equations
- Extinction and positivity of the solutions for a \(p\)-Laplacian equation with absorption on graphs
- Blow-up for a non-local diffusion problem with Neumann boundary conditions and a reaction term
- Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
- Nonexistence theorems for the heat equation with nonlinear boundary conditions and for the porous medium equation backward in time
- Blow-up and critical exponents for nonlinear hyperbolic equations
- Blow-up solutions of some nonlinear hyperbolic systems
- Nonexistence of global solutions of a nonlinear hyperbolic system
- $\omega$-Harmonic Functions and Inverse Conductivity Problems on Networks
- Determining the Resistors in a Network
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