A class of fourth-order parabolic equation with logarithmic nonlinearity

In this paper, we study a class of fourth-order parabolic equation with the logarithmic nonlinearity. By using the potential well method, we obtain the existence of the unique global weak solution. In addition, we also obtain results of decay and blow-up in the finite time for the weak solution.

Detalles Bibliográficos
Autores principales: Li, Pingping, Liu, Changchun
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6267419/
https://www.ncbi.nlm.nih.gov/pubmed/30839869
http://dx.doi.org/10.1186/s13660-018-1920-7
Descripción
Sumario:In this paper, we study a class of fourth-order parabolic equation with the logarithmic nonlinearity. By using the potential well method, we obtain the existence of the unique global weak solution. In addition, we also obtain results of decay and blow-up in the finite time for the weak solution.

Ejemplares similares