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Analysis of Heat Equations on Domains
Author: El-Maati Ouhabaz

ISBN: 9780691120164
Format: Hardcover
Number Of Pages: 296
Published: 26 September 2004
Country of Publication: US
Dimensions (cm): 22.9 x 15.2 x 1.8
Description:


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, Schrodinger, 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 b...

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