Remarks on global solutions for the semilinear diffusion equation in the de Sitter spacetime

DOI10.14492/hokmj/1607936539zbMath1459.35250OpenAlexW3111614058MaRDI QIDQ1996203

Makoto Nakamura, Yuya Sato

Publication date: 3 March 2021

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.hokmj/1607936539

zbMATH Keywords

negative Hubble constantsspatial expansion and contraction

Mathematics Subject Classification ID

PDEs in connection with relativity and gravitational theory (35Q75) Initial value problems for second-order parabolic equations (35K15) Semilinear parabolic equations (35K58)

Related Items (3)

On some effects of background metrics for several partial differential equations ⋮ Asymptotic behaviors of global solutions for a semilinear diffusion equation in the de Sitter spacetime ⋮ EXISTENCE AND NON-EXISTENCE OF GLOBAL SOLUTIONS FOR THE SEMILINEAR COMPLEX GINZBURG-LANDAU TYPE EQUATION IN HOMOGENEOUS AND ISOTROPIC SPACETIME

Cites Work

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• Wave and Klein-Gordon equations on hyperbolic spaces
• The wave equation on hyperbolic spaces
• Global existence of the scalar field in de Sitter spacetime
• Existence and non-existence of global solutions for a semilinear heat equation
• Boundedness and blow up for a semilinear reaction-diffusion system
• Liouville theorems and blow up behaviour in semilinear reaction diffusion systems
• Critical blowup and global existence numbers for a weakly coupled system of reaction-diffusion equations
• Strichartz estimates on asymptotically de Sitter spaces
• de Sitter tachyons and related topics
• A new type of isotropic cosmological models without singularity
• Blow up, global existence and growth rate estimates in nonlinear parabolic systems
• On the Global Solutions of the Higgs Boson Equation
• Huygens' principle for the Klein-Gordon equation in the de Sitter spacetime
• Global existence, asymptotic behavior and self-similar solutions for a class of semilinear parabolic systems

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