Elliptic 1-Laplacian Equations with Dynamical Boundary Conditions

Autor: Latorre, M., de León, S. Segura
Rok vydání: 2018
Předmět:
Druh dokumentu: Working Paper
Popis: This paper is concerned with an evolution problem having an elliptic equation involving the 1-Laplacian operator and a dynamical boundary condition. We apply nonlinear semigroup theory to obtain existence and uniqueness results as well as a comparison principle. Our main theorem shows that the solution we found is actually a strong solution. We also compare solutions with different data.
Databáze: arXiv