The two obstacle problem for the parabolic biharmonic equation

2015/09/10 by Matteo Novaga, Novaga, Matteo, Shinya Okabe +1 · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #math.AP #msc:35J35 #msc:35K25 #msc:49A29

paper · pdf · doi:10.48550/arxiv.1509.03062

20 pages

arxiv created 2015/09/10 · arxiv updated 2015/09/11

Abstract

We consider a two obstacle problem for the parabolic biharmonic equation in a bounded domain. We prove long time existence of solutions via an implicit time discretization scheme, and we investigate the regularity properties of solutions.

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