Charles L. EpsteinRafe MazzeoApril 4, 2013

Princeton University PressCharles 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 Hölder 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.

Publisher

Princeton University Press

Published on

Apr 4, 2013

Pages

320

ISBN

9781400846108

Features

Best For

Language

English

Genres

Mathematics / Differential Equations / General

Mathematics / Probability & Statistics / Stochastic Processes

Science / Life Sciences / Biology

Content Protection

This content is DRM protected.

Read Aloud

Available on Android devices

Eligible for Family Library

Report

Install the Google Play Books app for Android and iPad/iPhone. It syncs automatically with your account and allows you to read online or offline wherever you are.

You can read books purchased on Google Play using your computer's web browser.

To read on e-ink devices like the Sony eReader or Barnes & Noble Nook, you'll need to download a file and transfer it to your device. Please follow the detailed Help center instructions to transfer the files to supported eReaders.

©2018 GoogleSite Terms of ServicePrivacyDevelopersArtistsAbout Google

By purchasing this item, you are transacting with Google Payments and agreeing to the Google Payments Terms of Service and Privacy Notice.