Research graph
References from On a semilinear heat equation on infinite graphs II: Blow-up for arbitrary initial data and global existence. Local targets link to admitted publications; unresolved targets remain external evidence.
10.1016/j.jde.2026.114614
10.1016/j.jde.2026.114614 · External reference
Introduction to Analysis on Graphs
2018 · External reference
Unresolved reference
2021 · External reference
Unresolved reference
2016 · External reference
Nonexistence results for a general class of parabolic problems with a potential on weighted graphs
10.1007/s00030-025-01176-x · 2026 · External reference
Blow-up and global existence for semilinear parabolic equations on infinite graphs
10.1007/s00526-026-03291-8 · 2026 · External reference
Blow-up problems for nonlinear parabolic equations on locally finite graphs
10.1016/s0252-9602(18)30788-4 · 2018 · External reference
The existence and nonexistence of global solutions for a semilinear heat equation on graphs
10.1007/s00526-017-1204-y · 2017 · External reference
Nonexistence of solutions to parabolic problems with a potential on weighted graphs
10.1016/j.jde.2025.113782 · 2026 · External reference
On a semilinear parabolic equation with time-dependent source term on infinite graphs
2026 · External reference
On nonexistence of global solutions for a semilinear heat equation on graphs
10.1016/j.na.2018.01.012 · 2018 · External reference
The Fujita exponent for the Cauchy problem in the hyperbolic space
10.1016/j.jde.2011.06.001 · 2011 · External reference
Lp energy and blow-up for a semilinear heat equation
10.1090/pspum/045.2/843641 · 1986 · External reference
Fujita type phenomena for reaction - diffusion equations with convection like terms
1994 · External reference
An introduction to the problem of blow-up for semilinear and quasilinear parabolic equations
2006 · External reference
Existence and nonexistence of global solutions for a semilinear heat equation
10.1007/bf02761845 · 1981 · External reference
Random Walks and Heat Kernels on Graphs
2017 · External reference
Optimal Poincaré–Hardy-type inequalities on manifolds and graphs
10.1016/j.indag.2025.07.002 · 2026 · External reference
Heat kernel and monotonicity inequalities on the graph
10.1007/s12220-022-01093-w · 2023 · External reference
Heat kernel and essential spectrum of infinite graphs
10.1512/iumj.2009.58.3575 · 2009 · External reference
Lattice sums of I-Bessel functions, theta functions, linear codes and heat equations
10.1007/s40687-024-00472-9 · 2024 · External reference
Semigroups of Linear Operators and Applications to Partial Differential Equations
1983 · External reference
Fourier Analysis: An Introduction
2003 · External reference
Existence and nonexistence of global solutions for a semilinear heat equation
10.1007/bf02761845 · ExternalCitation · doi-reference
Nonexistence results for a general class of parabolic problems with a potential on weighted graphs
10.1007/s00030-025-01176-x · ExternalCitation · doi-reference
The existence and nonexistence of global solutions for a semilinear heat equation on graphs
10.1007/s00526-017-1204-y · ExternalCitation · doi-reference
Blow-up and global existence for semilinear parabolic equations on infinite graphs
10.1007/s00526-026-03291-8 · ExternalCitation · doi-reference
Heat kernel and monotonicity inequalities on the graph
10.1007/s12220-022-01093-w · ExternalCitation · doi-reference
Lattice sums of I-Bessel functions, theta functions, linear codes and heat equations
10.1007/s40687-024-00472-9 · ExternalCitation · doi-reference
Optimal Poincaré–Hardy-type inequalities on manifolds and graphs
10.1016/j.indag.2025.07.002 · ExternalCitation · doi-reference
The Fujita exponent for the Cauchy problem in the hyperbolic space
10.1016/j.jde.2011.06.001 · ExternalCitation · doi-reference
Nonexistence of solutions to parabolic problems with a potential on weighted graphs
10.1016/j.jde.2025.113782 · ExternalCitation · doi-reference
10.1016/j.jde.2026.114614
10.1016/j.jde.2026.114614 · ExternalCitation · doi-reference
On nonexistence of global solutions for a semilinear heat equation on graphs
10.1016/j.na.2018.01.012 · ExternalCitation · doi-reference
Blow-up problems for nonlinear parabolic equations on locally finite graphs
10.1016/s0252-9602(18)30788-4 · ExternalCitation · doi-reference
Lp energy and blow-up for a semilinear heat equation
10.1090/pspum/045.2/843641 · ExternalCitation · doi-reference
Heat kernel and essential spectrum of infinite graphs
10.1512/iumj.2009.58.3575 · ExternalCitation · doi-reference
