A FUJITA-TYPE RESULT FOR A SEMILINEAR EQUATION IN HYPERBOLIC SPACE

DOI10.1017/S1446788717000052zbMath1439.35201OpenAlexW2757238898MaRDI QIDQ4593272

Hui Wu

Publication date: 22 November 2017

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788717000052

zbMATH Keywords

blow-upcritical exponentglobal existence

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Initial value problems for second-order parabolic equations (35K15) Semilinear parabolic equations (35K58)

Related Items

Differential Harnack estimate of solutions to a class of semilinear parabolic equation, Asymptotically almost periodic solutions to parabolic equations on the real hyperbolic manifold, Differential Harnack estimates for a semilinear parabolic system

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global existence uniqueness and decay estimates for nonlinear viscoelastic wave equation with boundary dissipation
• 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
• Existence and non-existence of global solutions for a semilinear heat equation
• On the growing problem for semilinear heat equations
• Multidimensional nonlinear diffusion arising in population genetics
• The critical exponent for a weakly coupled system of the generalized Fujita type reaction-diffusion equations
• The role of critical exponents in blow-up theorems: The sequel
• A note on semilinear heat equation in hyperbolic space
• On a semilinear elliptic equation in Hn
• The critical exponents of parabolic equations and blow-up inRⁿ