Qualitative properties of solutions to parabolic anisotropic equations, part II — The anisotropic Trudinger's equation
Abstract
Abstract We study the local regularity properties of weak solutions to a special class of anisotropic doubly nonlinear parabolic operators, whose prototype is the anisotropic Trudinger's equation We prove a parabolic Harnack inequality, valid without any restrictions on the exponents . When the range of diffusion exponents is restricted, solutions are Hölder continuous.
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Geometric Analysis and Curvature Flows
Numerical methods in inverse problems
Publication details
- Journal / source
- Journal of the London Mathematical Society
- Volume
- 114
- Issue
- 1
- Publication date
- 1 July 2026
- Language
- EN