The stochastic p-Laplace equation beyond the classical framework: Well-posedness, memory effects and approximations

• Applicant: Professorin Dr. Aleksandra Zimmermann
• Subject Area: Mathematics
• Term: since 2021
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 490860677

We consider stochastic p-Laplace evolution equations beyond the classical theory of monotone operators. The research project consists of three parts:- Stochastic p-Laplace equations with memory effects- Theoretical aspects of the stochastic p-Laplace equation with convection- Discretisation and approximations.The first two parts of the research project have a theoretical focus of the well-posedness of stochastic p-Laplace equations with convection and memory effects. In the third part, full discretisation schemes, semi-implicit with respect to the time variable and of finite-volume type with respect to the space variable, are proposed for stochastic p-Laplace evolution equations and the convergence of these schemes is investigated. The research project is implemented within the framework of a German-French cooperation of outstanding female mathematicians.

• DFG Programme: Research Grants
• International Connection: France
• Co-Investigator: Professorin Dr. Petra Wittbold
• Cooperation Partners: Dr. Caroline Bauzet; Dr. Flore Nabet