On the splitting method for some complex-valued quasilinear evolution equations

Abstract : Using the approach of the splitting method developed by I. Gyöngy and N. Krylov for parabolic quasi linear equations, we study the speed of convergence for general complex-valued stochastic evolution equations. The approximation is given in general Sobolev spaces and the model considered here contains both the parabolic quasi-linear equations under some (non strict) stochastic parabolicity condition as well as linear Schrödinger equations
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Communication dans un congrès
Springer. In Honour of Ali Süleyman Üstünel, Jun 2010, Paris, France. 22, pp.57-90, 2012, Proceedings in Mathematics & Statistics. <10.1007/978-3-642-29982-7>
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Zdzislaw Brzezniak, Annie Millet. On the splitting method for some complex-valued quasilinear evolution equations. Springer. In Honour of Ali Süleyman Üstünel, Jun 2010, Paris, France. 22, pp.57-90, 2012, Proceedings in Mathematics & Statistics. <10.1007/978-3-642-29982-7>. <hal-00555063>

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