22944667

9780821842881

Holder-Sobolev Regularity of the Solution to the Stochastic Wave Equation in Dimension Three (Memoirs of the American Mathematical Society)
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• Comments: Brand new. We distribute directly for the publisher. The authors study the sample path regularity of the solution of a stochastic wave equation in spatial dimension $d=3$. The driving noise is white in time and with a spatially homogeneous covariance defined as a product of a Riesz kernel and a smooth function. The authors prove that at any fixed time, a.s., the sample paths in the spatial variable belong to certain fractional Sobolev spaces. In addition, for any fixed $x\in\mathbb{R}^3$, the sample paths

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• ISBN-13: 9780821842881
• ISBN: 0821842889
• Publication Date:
• Publisher: Amer Mathematical Society

### SUMMARY

Marta Sanz-Sole is the author of 'Holder-Sobolev Regularity of the Solution to the Stochastic Wave Equation in Dimension Three (Memoirs of the American Mathematical Society)', published 2009 under ISBN 9780821842881 and ISBN 0821842889.