Title: Degenerate Diffusion Operators Arising in Population Biology (AM-185) (Annals of Mathematics Studies (185))
Publisher: Princeton University Press
Publication Date: 2013
Language: English
ISBN 10: 069115712X
ISBN 13: 9780691157122
Binding: Hardcover
Condition: Good

About this title

Synopsis

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 H�lder 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.

About the Author

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.

"About this title" may belong to another edition of this title.

Store Description

Labyrinth is an acclaimed independent bookstore serving the students and faculty of Princeton University as well as the town of Princeton and beyond. As the official bookstore for Princeton University, our independent store specializes in academic books for scholars, and we can always be relied upon to provide those books that form the backbone of current debates both inside and outside of the universities. We also carry books of broad and general interest: contemporary and classic literature, poetry, current events, history, philosophy, theology, cookbooks, comics, and books for children. We offer a large selection of constantly-changing inventory, daily sales and deep discounts on most books, used and antiquarian titles.

Visit Seller's Storefront

Seller's business information

Great Jones Books, Inc.
27 Route 31 South, Pennington, NJ, 08534, U.S.A.

Sale & Shipping Terms

Terms of Sale

Purchase will be shipped upon receipt of payment including any additional shipping costs. NJ residents add appropriate sales tax. If you are dissatisfied (Incorrect Item/Not as Described/Damaged) or if the order has not arrived by the latest estimated delivery date, you maybe be eligible for a refund within 30 days of the estimated delivery date. Please contact us for any other return inquiries, and we will respond within 2 business days.

Shipping Terms

Orders usually ship within 2 business days. Shipping costs are based on books weighing 2.2 lbs or less, or 1 kg. Heavy or oversized books may require additional shipping charges.

Domestic shipping: Under 2.2 lbs
Media Mail $4.00 per book + $1.00 for each additional book
Priority Mail $7.00 per book + $3.00 for each additional book

Standard Shipping orders will be delivered via UPS Ground and USPS Media Mail, typically 2-5 business days for in-stock items. In-stock items will generally ship by the next business day.

Please note: While the overwhelming majority of packages shipped via USPS Media Mail arrive within the time specified above, in rare cases shipments can take up to 3 to 5 weeks to arrive. Media Mail shipments to Alaska, Hawaii, Guam, Puerto Rico and APO/FPO addresses can take up 3 to 8 weeks to arrive.

Shipping rates within U.S.A.

Shipping rates within U.S.A.
Order quantity	4 to 8 business days	2 to 5 business days
First item	US$ 4.50	US$ 13.00

Delivery times are set by sellers and vary by carrier and location. Orders passing through Customs may face delays and buyers are responsible for any associated duties or fees. Sellers may contact you regarding additional charges to cover any increased costs to ship your items.