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Asymptotic estimate of solutions to a fourth-order parabolic equation with double logarithm terms1.

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Τίτλος: Asymptotic estimate of solutions to a fourth-order parabolic equation with double logarithm terms1.
Συγγραφείς: Li, Ruixi1 (AUTHOR) ruixili0321@163.com, Feng, Tingfu2 (AUTHOR) fengtingfu@kmu.edu.cn, Zhai, Xia1 (AUTHOR) zhaixia924@163.com
Πηγή: QM - Quaestiones Mathematicae. Oct2026, Vol. 49 Issue 10, p1471-1498. 28p.
Θεματικοί όροι: *Partial differential equations, *Galerkin methods, *Nonlinear theories, *Asymptotic analysis
Περίληψη: This paper investigates a fourth-order parabolic equation with double logarithm nonlinearities. Using the Galerkin method, we establish the global existence and uniqueness of weak solutions. By classifying the initial energy, we derive blow-up criteria of solutions and obtain explicit upper bounds for the blow-up time of solutions. Moreover, we present new threshold criteria for the extinction and non-extinction behavior of solutions. Specifically, we give the upper bound and lower bound for the extinction rate of solutions. These results generalize and improve some earlier related results in the literature. [ABSTRACT FROM AUTHOR]
Βάση Δεδομένων: Academic Search Index
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  – Url: https://resolver.ebsco.com/c/fiv2js/result?sid=EBSCO:asx&genre=article&issn=16073606&ISBN=&volume=49&issue=10&date=20261001&spage=1471&pages=1471-1498&title=QM - Quaestiones Mathematicae&atitle=Asymptotic%20estimate%20of%20solutions%20to%20a%20fourth-order%20parabolic%20equation%20with%20double%20logarithm%20terms1.&aulast=Li%2C%20Ruixi&id=DOI:10.2989/16073606.2026.2677484
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  Data: Asymptotic estimate of solutions to a fourth-order parabolic equation with double logarithm terms<superscript>1</superscript>.
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  Data: <searchLink fieldCode="JN" term="%22QM+-+Quaestiones+Mathematicae%22">QM - Quaestiones Mathematicae</searchLink>. Oct2026, Vol. 49 Issue 10, p1471-1498. 28p.
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– Name: Abstract
  Label: Abstract
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  Data: This paper investigates a fourth-order parabolic equation with double logarithm nonlinearities. Using the Galerkin method, we establish the global existence and uniqueness of weak solutions. By classifying the initial energy, we derive blow-up criteria of solutions and obtain explicit upper bounds for the blow-up time of solutions. Moreover, we present new threshold criteria for the extinction and non-extinction behavior of solutions. Specifically, we give the upper bound and lower bound for the extinction rate of solutions. These results generalize and improve some earlier related results in the literature. [ABSTRACT FROM AUTHOR]
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        Value: 10.2989/16073606.2026.2677484
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      – Code: eng
        Text: English
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        Type: general
      – SubjectFull: Galerkin methods
        Type: general
      – SubjectFull: Nonlinear theories
        Type: general
      – SubjectFull: Asymptotic analysis
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      – TitleFull: Asymptotic estimate of solutions to a fourth-order parabolic equation with double logarithm terms1.
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              M: 10
              Text: Oct2026
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              Y: 2026
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