Quenching of the solution to the discrete heat equation with logarithmic type sources on graphs
DOI10.1080/00036811.2018.1510490zbMath1477.39001OpenAlexW2889517750MaRDI QIDQ4959751
Qiao Xin, Yafeng Li, Chun-Lai Mu
Publication date: 7 April 2020
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2018.1510490
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Heat equation (35K05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Discrete version of topics in analysis (39A12) Partial difference equations (39A14) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)
Cites Work
- Unnamed Item
- Unnamed Item
- Extinction and positivity of the solutions for a \(p\)-Laplacian equation with absorption on graphs
- Quenching for a reaction-diffusion system with logarithmic singularity
- Extinction and asymptotic behavior of solutions for the \(\omega\)-heat equation on graphs with source and interior absorption
- Blow-up for a non-local diffusion problem with Neumann boundary conditions and a reaction term
- The blow-up rate of solutions of semilinear heat equations
- Quenching phenomena for a non-local diffusion equation with a singular absorption
- Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
- On quenching with logarithmic singularity
- Quenching for a non-local diffusion equation with a singular absorption term and Neumann boundary condition
- Blow-up for a non-local diffusion equation with exponential reaction term and Neumann boundary condition
- Quenching for a reaction-diffusion system with coupled inner singular absorption terms
- Non-simultaneous quenching in a semilinear parabolic system with weak singularities of logarithmic type
- Bifurcation from simple eigenvalues
- Blow-up for the Ο-heat equation with Dirichlet boundary conditions and a reaction term on graphs
- Mathematical Analysis of Thermal Runaway for Spatially Inhomogeneous Reactions
- $\omega$-Harmonic Functions and Inverse Conductivity Problems on Networks
- On the nonlinear equations Ξπ’+π^{π’}=0 and βπ£/βπ‘=Ξπ£+π^{π£}
This page was built for publication: Quenching of the solution to the discrete heat equation with logarithmic type sources on graphs