Degenerate fourth order parabolic equations with Neumann boundary conditions

Autor: Camasta, Alessandro, Fragnelli, Genni
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: We study the generation property for a fourth order operator in divergence or in non divergence form with suitable Neumann boundary conditions. As a consequence we obtain the well posedness for the parabolic equations governed by these operators. The novelty of this paper is that the operators depend on a function $a: [0,1] \rightarrow \R_+$ that degenerates somewhere in the interval.
Databáze: arXiv