Tadahiro Oh, Beijing Institute of Technology, People's Republic of China, and University of Edinburgh, United Kingdom, Mamoru Okamoto, Osaka University, Japan. Leonardo Tolomeo, Universitat Bonn, Germany, and The University of Edinburgh, United Kingdom.
Description
Chapters 1. Introduction 2. Invariant dynamics for Hartree SdNLW 3. Notations and basic lemmas 4. On the stochastic terms 5. Construction of the Gibbs measures 6. Further analysis in the defocusing case: $0 < \beta \leq 1$ 7. Paracontrolled operators 8. Local well-posedness of Hartree SdNLW 9. Invariant Gibbs dynamics A. On the parabolic stochastic quantization of the focusing Hartree Gibbs measure B. On the regularities of the stochastic terms C. Absolute continuity with respectto the shifted measure