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Item Details
Title: STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS
A MODELING, WHITE NOISE FUNCTIONAL APPROACH
By: Helge Holden, etc., B.K. Oksendal
Format: Hardback

List price: £59.00


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ISBN 10: 3764339284
ISBN 13: 9783764339289
Publisher: BIRKHAUSER VERLAG AG
Series: Probability and its Applications
Pages: 231
Description: The main emphasis of this work is on stochastic partial differential equations. First the stochastic Poisson equation and the stochastic transport equation are discussed; then the authors go on to deal with the Schrodinger equation, the heat equation, and the nonlinear Burgers' equation.
Synopsis: The main emphasis of this work is on stochastic partial differential equations. First the stochastic Poisson equation and the stochastic transport equation are discussed; then the authors go on to deal with the Schrodinger equation, the heat equation, the nonlinear Burgers' equation with a stochastic source, and the pressure equation. The white noise approach often allows for solutions given by explicit formulas in terms of expectations of certain auxiliary processes. The noise in the above examples are all of a Gaussian white noise type. In the end, the authors also show how to adapt the analysis to SPDEs involving noise of Poissonian type.
Illustrations: 18 line illustrations, 4 halftones, index references
Publication: Switzerland
Imprint: Birkhauser Verlag AG
Returns: Non-returnable
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