eBook - PDF

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

Name: Analysis of Heat Equations on Domains. (LMS-31)
ISBN: 9781400826483

El-Maati Ouhabaz,

296 pages
English
PDF
Available on iOS & Android

eBook - PDF

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

El-Maati Ouhabaz,

About this book

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.

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Yes, you can access Analysis of Heat Equations on Domains. (LMS-31) by El-Maati Ouhabaz in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.