Analysis of Heat Equations on Domains 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Ouhabaz, El-Maati 作者

译者

2004-10 出版日期

296 页数

$ 112.94 价格

丛书系列

9780691120164 图书编码

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发表于2024-11-22

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Analysis of Heat Equations on Domains 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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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, Schrdinger, 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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