A FUJITA-TYPE RESULT FOR A SEMILINEAR EQUATION IN HYPERBOLIC SPACE-Reference-Cited by-同舟云学术

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

Published:2017-09-25 Issue:3 Volume:103 Page:420-429
ISSN:1446-7887
Container-title:Journal of the Australian Mathematical Society
language:en
Short-container-title:J. Aust. Math. Soc.

Author:

WU HUI

Abstract

In this paper, we study the positive solutions for a semilinear equation in hyperbolic space. Using the heat semigroup and by constructing subsolutions and supersolutions, a Fujita-type result is established.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference15 articles.

1. Global existence uniqueness and decay estimates for nonlinear viscoelastic wave equation with boundary dissipation

2. Existence and non-existence of global solutions for a semilinear heat equation

3. On a semilinear elliptic equation in ℍ n;Mancini;Ann. Sc. Norm. Super. Pisa Cl. Sci.,2008

4. On the critical exponent for reaction-diffusion equations

5. The Fujita exponent for the Cauchy problem in the hyperbolic space

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Differential Harnack estimate of solutions to a class of semilinear parabolic equation;Mathematical Inequalities & Applications;2022

2. A Note on the Fujita Exponent of a Semilinear Heat Equation with Combined Nonlinearities on the Hyperbolic Space;Pure Mathematics;2022

3. Differential Harnack Estimates for a Semilinear Parabolic System;Journal of Function Spaces;2019-03-10

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