Analysis of Heat Equations on Domains. (LMS-31)

Analysis of Heat Equations on Domains. (LMS-31)
Author :
Publisher : Princeton University Press
Total Pages : 296
Release :
ISBN-10 : 9781400826483
ISBN-13 : 1400826489
Rating : 4/5 (489 Downloads)

Book Synopsis Analysis of Heat Equations on Domains. (LMS-31) by : El-Maati Ouhabaz

Download or read book Analysis of Heat Equations on Domains. (LMS-31) written by El-Maati Ouhabaz and published by Princeton University Press. This book was released on 2009-01-10 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first comprehensive reference published on heat equations associated with non self-adjoint uniformly elliptic operators. The author provides introductory materials for those unfamiliar with the underlying mathematics and background needed to understand the properties of heat equations. He then treats Lp properties of solutions to a wide class of heat equations that have been developed over the last fifteen years. These primarily concern the interplay of heat equations in functional analysis, spectral theory and mathematical physics. This book addresses new developments and applications of Gaussian upper bounds to spectral theory. In particular, it shows how such bounds can be used in order to prove Lp estimates for heat, Schrödinger, and wave type equations. A significant part of the results have been proved during the last decade. The book will appeal to researchers in applied mathematics and functional analysis, and to graduate students who require an introductory text to sesquilinear form techniques, semigroups generated by second order elliptic operators in divergence form, heat kernel bounds, and their applications. It will also be of value to mathematical physicists. The author supplies readers with several references for the few standard results that are stated without proofs.

Analysis of Heat Equations on Domains. (LMS-31) Related Books

Analysis of Heat Equations on Domains. (LMS-31)
Language: en
Pages: 296
Authors: El-Maati Ouhabaz
Categories: Mathematics
Type: BOOK - Published: 2009-01-10 - Publisher: Princeton University Press

GET EBOOK

This is the first comprehensive reference published on heat equations associated with non self-adjoint uniformly elliptic operators. The author provides introdu
Recent Advances in Harmonic Analysis and Partial Differential Equations
Language: en
Pages: 300
Authors: Andrea R. Nahmod
Categories: Mathematics
Type: BOOK - Published: 2012 - Publisher: American Mathematical Soc.

GET EBOOK

This volume is based on the AMS Special Session on Harmonic Analysis and Partial Differential Equations and the AMS Special Session on Nonlinear Analysis of Par
Stochastic Analysis and Related Topics
Language: en
Pages: 224
Authors: Fabrice Baudoin
Categories: Mathematics
Type: BOOK - Published: 2017-10-04 - Publisher: Birkhäuser

GET EBOOK

The articles in this collection are a sampling of some of the research presented during the conference “Stochastic Analysis and Related Topics”, held in May
Log-Gases and Random Matrices (LMS-34)
Language: en
Pages: 808
Authors: Peter J. Forrester
Categories: Mathematics
Type: BOOK - Published: 2010-07-01 - Publisher: Princeton University Press

GET EBOOK

Random matrix theory, both as an application and as a theory, has evolved rapidly over the past fifteen years. Log-Gases and Random Matrices gives a comprehensi
Recent Advances in Differential Equations and Mathematical Physics
Language: en
Pages: 354
Authors: Nikolai Chernov
Categories: Mathematics
Type: BOOK - Published: 2006 - Publisher: American Mathematical Soc.

GET EBOOK

Surveys topics in differential equations that are associated with mathematical physics. This book includes such topics as asymptotic formulas for the ground-sta