Global Solutions for a Nonlocal Problem with Logarithmic Source Term

Lapa E.C. · Sahand Communications in Mathematical Analysis (2024) · DOI: 10.22130/scma.2023.2001016.1307

Resumen

The current paper discusses the global existence and asymptotic behavior of solutions of the following new nonlocal problem If the initial data are appropriately small, we derive existence of global strong solutions and the exponential decay of the energy.