Deya, Aurélien; Gubinelli, Massimiliano; Hofmanová, Martina; Tindel, Samy: A priori estimates for rough PDEs with application to rough conservation laws. In: Journal of Functional Analysis. Jg.276 H. 12. 2019, S. 3577-3645
Inhalt
- Outline of the paper
- 2 General a priori estimates for rough PDEs
- 2.1 Notation
- 2.2 Unbounded rough drivers
- 2.3 A priori estimates and rough Gronwall lemma
- 2.4 A first application: a priori estimates for a (rough) heat model
- 3 Tensorization and uniqueness
- 4 Rough conservation laws I: presentation
- 5 Rough conservation laws II: uniqueness and reduction
- 5.1 General strategy
- 5.2 Tensorization
- 5.3 Construction of a smoothing
- 5.4 Preliminary estimate for the supremum of Fε
- 5.5 Preliminary estimate for the drift term Qε
- 5.6 Passage to the diagonal
- 6 Rough conservation laws III: a priori estimates
- 7 Rough conservation laws IV: existence
- References