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

被引：2
|
作者：
Wu, Hui [1 ]
机构：
[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China
来源：
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2017年 / 103卷 / 03期
基金：
中国国家自然科学基金;
关键词：
critical exponent; blow-up; glohal existence; REACTION-DIFFUSION EQUATIONS; CRITICAL EXPONENTS; HEAT-EQUATION; BLOW-UP; NONEXISTENCE; EXISTENCE;
D O I：
10.1017/S1446788717000052
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：420 / 429
页数：10
相关论文
共 50 条
  • [1] A Fujita-type blowup result and low energy scattering for a nonlinear Schrodinger equation
    Cazenave, Thierry
    Correia, Simao
    Dickstein, Flavio
    Weissler, Fred B.
    SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, 2015, 9 (02): : 146 - 161
  • [2] Critical exponent of Fujita-type for the semilinear damped wave equation on the Heisenberg group with power nonlinearity
    Georgiev, Vladimir
    Palmieri, Alessandro
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 269 (01) : 420 - 448
  • [3] Convergence of a family of solutions to a Fujita-type equation in domains with cavities
    S. V. Pikulin
    Computational Mathematics and Mathematical Physics, 2016, 56 : 1872 - 1900
  • [4] Fujita-type conditions for fast diffusion equation with variable source
    Qu, Chengyuan
    Zheng, Sining
    APPLICABLE ANALYSIS, 2009, 88 (12) : 1651 - 1663
  • [5] Fujita-type theorems for a class of coupled semilinear parabolic systems with gradient terms
    Guanming Gai
    Qiang Liu
    Yang Na
    Mingjun Zhou
    Advances in Difference Equations, 2018
  • [6] Fujita-type theorems for a class of coupled semilinear parabolic systems with gradient terms
    Gai, Guanming
    Liu, Qiang
    Na, Yang
    Zhou, Mingjun
    ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [7] Convergence of a Family of Solutions to a Fujita-Type Equation in Domains with Cavities
    Pikulin, S. V.
    COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2016, 56 (11) : 1872 - 1900
  • [8] Non-existence of global solutions to anisotropic Fujita-type systems of semilinear parabolic equations
    Takase, H
    Sleeman, BD
    PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2000, 456 (1994): : 365 - 386
  • [9] Rigorous numerical inclusion of the blow-up time for the Fujita-type equation
    Makoto Mizuguchi
    Kouta Sekine
    Kouji Hashimoto
    Mitsuhiro T. Nakao
    Shin’ichi Oishi
    Japan Journal of Industrial and Applied Mathematics, 2023, 40 : 665 - 689
  • [10] Rigorous numerical inclusion of the blow-up time for the Fujita-type equation
    Mizuguchi, Makoto
    Sekine, Kouta
    Hashimoto, Kouji
    Nakao, Mitsuhiro T.
    Oishi, Shin'ichi
    JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2023, 40 (01) : 665 - 689
12345