Work

Local boundedness and higher integrability for the sub-critical singular porous medium system

Year: 2025

Type: article

Abstract: The gradient of weak solutions to porous medium-type equations or systems possesses a higher integrability than the one assumed in the pure notion of a solution. We settle the critical and sub-critical, singular case and complete the program.

Source: Mathematische Annalen

DOI: 10.1007/s00208-025-03160-3

Authors: Verena Bögelein, Frank Duzaar, Ugo Gianazza, Naian Liao

Institutions: University of Salzburg, University of Pavia

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Austrian Science Fund, Universität Salzburg, Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni