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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Stochastic Partial Differential Equations with Additive Gaussian Noise - Analysis and Inference

Stochastic Partial Differential Equations with Additive Gaussian Noise - Analysis and Inference

Tudor, Ciprian A.

Hardcover

General MathematicsProbability & Statistics

ISBN10: 9811264457
ISBN13: 9789811264450
Publisher: World Scientific Publishing Company
Published: Nov 24 2022
Pages: 204
Weight: 0.98
Height: 0.50 Width: 6.00 Depth: 9.00
Language: English
The stochastic partial differential equations (SPDEs) arise in many applications of the probability theory. This monograph will focus on two particular (and probably the most known) equations: the stochastic heat equation and the stochastic wave equation.The focus is on the relationship between the solutions to the SPDEs and the fractional Brownian motion (and related processes). An important point of the analysis is the study of the asymptotic behavior of the p-variations of the solutions to the heat or wave equations driven by space-time Gaussian noise or by a Gaussian noise with a non-trivial correlation in space.The book is addressed to public with a reasonable background in probability theory. The idea is to keep it self-contained and avoid using of complex techniques. We also chose to insist on the basic properties of the random noise and to detail the construction of the Wiener integration with respect to them. The intention is to present the proofs complete and detailed.

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