Work

Lipschitz truncation method for parabolic double-phase systems and applications

Year: 2024

Type: article

Abstract: 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.

Source: Journal of Functional Analysis

DOI: 10.1016/j.jfa.2024.110738

Authors: Wontae Kim, Juha Kinnunen, Lauri Särkiö

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,670

OpenAlex ID: W4404055256

FWCI: 6.146

Cites: 22

Cited by: 8

Related to: 10