Singularities and heteroclinic connections in complex-valued evolutionary equations with a quadratic nonlinearity-Reference-Cited by-同舟云学术

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Singularities and heteroclinic connections in complex-valued evolutionary equations with a quadratic nonlinearity

Published:2022-04 Issue: Volume:107 Page:106188
ISSN:1007-5704
Container-title:Communications in Nonlinear Science and Numerical Simulation
language:en
Short-container-title:Communications in Nonlinear Science and Numerical Simulation

Author:

Jaquette Jonathan^ORCID,Lessard Jean-Philippe,Takayasu Akitoshi

Funder

Japan Society for the Promotion of Science

Natural Sciences and Engineering Research Council of Canada

Publisher

Elsevier BV

Subject

Applied Mathematics,Modeling and Simulation,Numerical Analysis

Reference21 articles.

1. On the blowing up of solutions of the Cauchy problem for ut=Δu+u1+α;Fujita;J Fac Sci Univ Tokyo Sect I,1966

2. The role of critical exponents in blowup theorems;Levine;SIAM Rev,1990

3. The role of critical exponents in blow-up theorems: the sequel;Deng;J Math Anal Appl,2000

4. Convergence and blow-up of solutions for a complex-valued heat equation with a quadratic nonlinearity;Guo;Trans Amer Math Soc,2013

5. Blow-up of solutions of some nonlinear diffusion equations;Masuda,1983

Cited by 2 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. Validated forward integration scheme for parabolic PDEs via Chebyshev series;Communications in Nonlinear Science and Numerical Simulation;2022-06

2. Rigorous numerics for nonlinear heat equations in the complex plane of time;Numerische Mathematik;2022-05-12

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