Lipschitz truncation method for parabolic double-phase systems and applications

Autor: Kim, Wontae, Kinnunen, Juha, Särkiö, Lauri
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: We discuss a Lipschitz truncation technique for parabolic double-phase problems of $p$-Laplace type in order to prove energy estimates and uniqueness results for the Dirichlet problem. Moreover, we show existence for a non-homogeneous double-phase problem. The Lipschitz truncation method is based on a Whitney-type covering result and a related partition of unity in the intrinsic geometry for the double-phase problem.
Comment: The manuscript has been revised according to the suggestions and comments of the reviewers
Databáze: arXiv