analysis of heat equations

Analysis of Heat Equations on Domains. (LMS-31)【電子書籍】 El-Maati Ouhabaz
 

商品の説明

  • <p>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 <em>Lp</em> 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.</p> <p>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 <em>Lp</em> estimates for heat, Schr?dinger, and wave type equations. A significant part of the results have been proved during the last decade.</p> <p>The book will appeal to researchers in applied mathematics and functional analysis, and ...
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