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Debussche, Arnaud; de Moor, Sylvain; Hofmanová, Martina: A Regularity Result for Quasilinear Stochastic Partial Differential Equations of Parabolic Type. In: SIAM Journal on Mathematical Analysis. Jg.47 H. 2. 2015, S. 1590-1614
Inhalt
2. Notations, hypotheses and the main result
2.1. Notations
2.2. Hypotheses
2.3. Existence of weak solutions
2.4. The main result
3. Preliminaries
3.1. Regularity of the stochastic convolution
3.2. Regularity results for deterministic parabolic PDE's
4. First step in the regularity problem: proof of Theorem 2.6
5. Increasing the regularity: proof of Theorem 2.7
5.1. The case k=1
5.2. The case k=2
5.3. The case k=3,4
References