Description: Degenerate Diffusion Operators Arising in Population Biology by Charles L. Epstein, Rafe Mazzeo Estimated delivery 3-12 business days Format Hardcover Condition Brand New Description This book provides the mathematical foundations for the analysis of a class of degenerate elliptic operators defined on manifolds with corners, which arise in a variety of applications such as population genetics, mathematical finance, and economics. The results discussed in this book prove the uniqueness of the solution to the Martingale problem a Publisher Description This book provides the mathematical foundations for the analysis of a class of degenerate elliptic operators defined on manifolds with corners, which arise in a variety of applications such as population genetics, mathematical finance, and economics. The results discussed in this book prove the uniqueness of the solution to the Martingale problem and therefore the existence of the associated Markov process. Charles Epstein and Rafe Mazzeo use an "integral kernel method" to develop mathematical foundations for the study of such degenerate elliptic operators and the stochastic processes they define. The precise nature of the degeneracies of the principal symbol for these operators leads to solutions of the parabolic and elliptic problems that display novel regularity properties. Dually, the adjoint operator allows for rather dramatic singularities, such as measures supported on high codimensional strata of the boundary. Epstein and Mazzeo establish the uniqueness, existence, and sharp regularity properties for solutions to the homogeneous and inhomogeneous heat equations, as well as a complete analysis of the resolvent operator acting on Holder spaces.They show that the semigroups defined by these operators have holomorphic extensions to the right half-plane. Epstein and Mazzeo also demonstrate precise asymptotic results for the long-time behavior of solutions to both the forward and backward Kolmogorov equations. Author Biography Charles L. Epstein is the Thomas A. Scott Professor of Mathematics at the University of Pennsylvania. Rafe Mazzeo is professor of mathematics at Stanford University. Details ISBN 069115712X ISBN-13 9780691157122 Title Degenerate Diffusion Operators Arising in Population Biology Author Charles L. Epstein, Rafe Mazzeo Format Hardcover Year 2013 Pages 320 Publisher Princeton University Press GE_Item_ID:161696286; About Us Grand Eagle Retail is the ideal place for all your shopping needs! With fast shipping, low prices, friendly service and over 1,000,000 in stock items - you're bound to find what you want, at a price you'll love! Shipping & Delivery Times Shipping is FREE to any address in USA. Please view eBay estimated delivery times at the top of the listing. Deliveries are made by either USPS or Courier. We are unable to deliver faster than stated. International deliveries will take 1-6 weeks. NOTE: We are unable to offer combined shipping for multiple items purchased. This is because our items are shipped from different locations. Returns If you wish to return an item, please consult our Returns Policy as below: Please contact Customer Services and request "Return Authorisation" before you send your item back to us. Unauthorised returns will not be accepted. Returns must be postmarked within 4 business days of authorisation and must be in resellable condition. Returns are shipped at the customer's risk. We cannot take responsibility for items which are lost or damaged in transit. For purchases where a shipping charge was paid, there will be no refund of the original shipping charge. Additional Questions If you have any questions please feel free to Contact Us. Categories Baby Books Electronics Fashion Games Health & Beauty Home, Garden & Pets Movies Music Sports & Outdoors Toys
Price: 295.49 USD
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End Time: 2024-11-20T18:47:56.000Z
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ISBN-13: 9780691157122
Book Title: Degenerate Diffusion Operators Arising in Population Biology
Number of Pages: 320 Pages
Publication Name: Degenerate Diffusion Operators Arising in Population Biology (Am-185)
Language: English
Publisher: Oxford University Press, Incorporated
Subject: Differential Equations / General, Functional Analysis, Probability & Statistics / Stochastic Processes, Life Sciences / Biology
Publication Year: 2013
Item Height: 0.1 in
Type: Textbook
Item Weight: 20 Oz
Author: Charles L. Epstein, Rafe Mazzeo
Subject Area: Mathematics, Science
Item Length: 0.1 in
Series: Annals of Mathematics Studies
Item Width: 0.1 in
Format: Hardcover
