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 Hindu Nationalism by El-Maati Ouhabaz
Cover of the book The Bankers' New Clothes by El-Maati Ouhabaz
Cover of the book Final Matters by El-Maati Ouhabaz
Cover of the book The Story of America by El-Maati Ouhabaz
Cover of the book Racial Culture by El-Maati Ouhabaz
Cover of the book Not in the Heavens by El-Maati Ouhabaz
Cover of the book Measuring Poverty around the World by El-Maati Ouhabaz
Cover of the book Straightforward by El-Maati Ouhabaz
Cover of the book The Lost History of Liberalism by El-Maati Ouhabaz
Cover of the book "Keep the Damned Women Out" by El-Maati Ouhabaz
Cover of the book Sovereign Wealth Funds by El-Maati Ouhabaz
Cover of the book The King's Two Bodies by El-Maati Ouhabaz
Cover of the book When Victims Become Killers by El-Maati Ouhabaz
Cover of the book Reluctant Crusaders by El-Maati Ouhabaz
Cover of the book Sea of Storms 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