Global existence and finite time blow-up for a parabolic system on hyperbolic space

DOI10.1063/1.5021687zbMath1387.35330OpenAlexW2785016621MaRDI QIDQ3134098

Hui Wu, Xiao-Ping Yang

Publication date: 8 February 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5021687

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for second-order parabolic systems (35K45) Second-order parabolic systems (35K40) Blow-up in context of PDEs (35B44) Positive solutions to PDEs (35B09)

Related Items (2)

Differential Harnack estimate of solutions to a class of semilinear parabolic equation ⋮ Differential Harnack estimates for a semilinear parabolic system

Cites Work

• Unnamed Item
• Unnamed Item
• The Fujita exponent for the Cauchy problem in the hyperbolic space
• On the critical exponent for reaction-diffusion equations
• Global existence and nonexistence for some degenerate and quasilinear parabolic systems
• Boundedness and blow up for a semilinear reaction-diffusion system
• The critical exponent for a weakly coupled system of the generalized Fujita type reaction-diffusion equations
• Global existence, scattering and blow-up for the focusing NLS on the hyperbolic space
• Critical exponent for parabolic system with time-weighted sources in bounded domain
• A note on semilinear heat equation in hyperbolic space
• Nonexistence of Positive Supersolutions of Elliptic Equations via the Maximum Principle
• On a semilinear elliptic equation in Hn
• Global existence and nonexistence for degenerate parabolic systems
• On nonexistence of global solutions of some semilinear parabolic differential equations

This page was built for publication: Global existence and finite time blow-up for a parabolic system on hyperbolic space