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Non-blowup at critical exponent for a semilinear nonlocal diffusion equation

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Publication:2021502
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DOI10.1016/j.aml.2021.107063zbMath1462.35057OpenAlexW3127206160MaRDI QIDQ2021502

Auttawich Manui, Armin Schikorra, Sujin Khomrutai

Publication date: 27 April 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107063


zbMATH Keywords

power nonlinearityglobal solutionsFujita exponentdispersal tails


Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Initial value problems for second-order parabolic equations (35K15) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Integro-partial differential equations (35R09)





Cites Work

  • Fujita exponents for evolution problems with nonlocal diffusion
  • Cauchy problems of semilinear pseudo-parabolic equations
  • Fujita blow up phenomena and hair trigger effect: the role of dispersal tails
  • The role of critical exponents in blow-up theorems: The sequel
  • Nonlocal equations with regular varying decay solutions
  • Asymptotic behavior for nonlocal diffusion equations




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