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Debussche, Arnaud; Hofmanová, Martina; Vovelle, Julien: Degenerate parabolic stochastic partial differential equations: Quasilinear case. In: The Annals of Probability. Jg.44 H. 3. 2016, S. 1916-1955
Inhalt
2. Hypotheses and the main result
2.1. Hypotheses
2.2. Definitions
2.3. Derivation of the kinetic formulation
2.4. The main result
3. Comparison principle
4. Nondegenerate case - B Lipschitz continuous
4.1. Compactness argument
4.2. Identification of the limit
4.3. Pathwise solutions
5. Nondegenerate case - polynomial growth of B
6. Degenerate case
6.1. Uniform estimates
6.2. Strong convergence
7. General initial data
Appendix A. Generalized Itô's formula
References