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

Nonfiction, Science & Nature, Science, Physics, Mathematical Physics, Mathematics, Applied
Cover of the book Analysis of Heat Equations on Domains. (LMS-31) by El-Maati Ouhabaz, Princeton University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: El-Maati Ouhabaz ISBN: 9781400826483
Publisher: Princeton University Press Publication: January 10, 2009
Imprint: Princeton University Press Language: English
Author: El-Maati Ouhabaz
ISBN: 9781400826483
Publisher: Princeton University Press
Publication: January 10, 2009
Imprint: Princeton University Press
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Princeton University Press

Cover of the book Would You Kill the Fat Man? by El-Maati Ouhabaz
Cover of the book Democracy and Tradition by El-Maati Ouhabaz
Cover of the book Revolutionary Ideas by El-Maati Ouhabaz
Cover of the book Amazing Arachnids by El-Maati Ouhabaz
Cover of the book Mind and Nature by El-Maati Ouhabaz
Cover of the book On Beauty and Being Just by El-Maati Ouhabaz
Cover of the book Capitalism by El-Maati Ouhabaz
Cover of the book Enhancing Evolution: The Ethical Case for Making Better People by El-Maati Ouhabaz
Cover of the book Playing at Acquisitions by El-Maati Ouhabaz
Cover of the book The Hard Facts of the Grimms' Fairy Tales by El-Maati Ouhabaz
Cover of the book Currency Politics by El-Maati Ouhabaz
Cover of the book Epistemic Angst by El-Maati Ouhabaz
Cover of the book Cop in the Hood by El-Maati Ouhabaz
Cover of the book A Thirst for Empire by El-Maati Ouhabaz
Cover of the book The Age of the Crisis of Man by El-Maati Ouhabaz
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy