Close
Enter your search into one or more of the boxes below:
You can refine your search by selecting from any of the options below:
Search
Degenerate Diffusion Operators Arising in Population Biology (AM-185)
Foyalty 467

Degenerate Diffusion Operators Arising in Population Biology (AM-185) (Hardback)

£154.00
Usually despatched within 2 weeks.

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 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.

Science & MathematicsBiology, life sciencesLife sciences: general issuesEcological science, the BiosphereScience & MathematicsMathematicsApplied mathematicsStochasticsScience & MathematicsMathematicsCalculus & mathematical analysisDifferential calculus & equations Publisher: Princeton University Press Publication Date: 22/02/2013 ISBN-13: 9780691157122  Details: Type: Hardback Format: Books
Availability: Usually despatched within 2 weeks. Login for Quick Checkout Add to Basket

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.

More books by Charles Epstein

More books by Rafe Mazzeo

Leave Review

Delivery

Delivery Options

All delivery times quoted are the average, and cannot be guaranteed. These should be added to the availability message time, to determine when the goods will arrive. During checkout we will give you a cumulative estimated date for delivery.

Location 1st Book Each additional book Average Delivery Time
UK Standard Delivery FREE FREE 3-5 Days
UK First Class £4.50 £1.00 1-2 Days
UK Courier £7.00 £1.00 1-2 Days
Western Europe** Courier £17.00 £3.00 2-3 Days
Western Europe** Airmail £5.00 £1.50 4-14 Days
USA / Canada Courier £20.00 £3.00 2-4 Days
USA / Canada Airmail £7.00 £3.00 4-14 Days
Rest of World Courier £22.50 £3.00 3-6 Days
Rest of World Airmail £8.00 £3.00 7-21 Days

** Includes Austria, Belgium, Denmark, France, Germany, Greece, Iceland, Irish Republic, Italy, Luxembourg, Netherlands, Portugal, Spain, Sweden and Switzerland.

Delivery Help & FAQs

Returns Information

If you are not completely satisfied with your purchase*, you may return it to us in its original condition with in 30 days of receiving your delivery or collection notification email for a refund. Except for damaged items or delivery issues the cost of return postage is borne by the buyer. Your statutory rights are not affected.

* For Exclusions and terms on damaged or delivery issues see Returns Help & FAQs

You might also like

Essentials of Partial Differential...
(Hardback)
Marin Marin; Andreas OEchsner
 
 
£109.99
 
Scientific Computing: Vol. I - Linear...
(Hardback)
John A. Trangenstein
 
 
£63.99
 
Scientific Computing: Vol. II -...
(Hardback)
John A. Trangenstein
 
 
£63.99
 
Scientific Computing: Vol. III -...
(Hardback)
John A. Trangenstein
 
 
£63.99
 
© W&G Foyle Ltd
Foyles uses cookies to help ensure your experience on our site is the best possible. Click here if you’d like to find out more about the types of cookies we use.
Accept and Close