Existence of densities for stable-like driven SDE's with Hölder continuous coefficients

45 mins 39 secs,  183.23 MB,  WebM  640x360,  29.97 fps,  44100 Hz,  548.02 kbits/sec
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Description: Debussche, A (ENS de Cachan)
Wednesday 12 September 2012, 12:00-12:50
 
Created: 2012-09-18 08:47
Collection: Stochastic Partial Differential Equations
Publisher: Isaac Newton Institute
Copyright: Debussche, A
Language: eng (English)
 
Abstract: Consider a multidimensional stochastic differential equations driven by a stable-like Lévy process. We prove that the law of the solution immediately has a density in some Besov space, under some non-degeneracy condition and some very light Hölder-continuity assumptions on the drift and diffusion coefficients.
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