Positivity of solutions to the Cauchy problem for linear and semilinear biharmonic heat equations

This paper is concerned with the positivity of solutions to the Cauchy problem for linear and nonlinear parabolic equations with the biharmonic operator as fourth order elliptic principal part. Generally, Cauchy problems for parabolic equations of fourth order have no positivity preserving property...

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Bibliographic Details
Main Authors: Grunau Hans-Christoph, Miyake Nobuhito, Okabe Shinya
Format: Article
Language:English
Published: De Gruyter 2020-08-01
Series:Advances in Nonlinear Analysis
Subjects:
Online Access:https://doi.org/10.1515/anona-2020-0138