Special Session 74: Recent advances in local and nonlocal PDEs

Qualitative Properties to Anisotropic Parabolic PDEs
Eurica Henriques
Universidade Tras os Montes e Alto Douro, CMAT
Portugal
Co-Author(s):    Igor I. Skrypnik, Mariia Savchenko, Simone Ciani
Abstract:
In this talk we discuss qualitative properties of weak solutions to a class of nonlinear anisotropic parabolic partial differential equations. These equations arise in models where diffusion may behave differently in each spatial direction, leading to operators with direction-dependent growth and nonstandard structure. These results illustrate how classical tools from the De Giorgi-Nash-Moser theory can be adapted to anisotropic frameworks, providing a general approach to the study of nonlinear parabolic problems with direction-dependent diffusion.