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1. |
Record Nr. |
UNINA9910455366003321 |
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Autore |
Ouhabaz El Maati |
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Titolo |
Analysis of heat equations on domains [[electronic resource] /] / El Maati Ouhabaz |
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Pubbl/distr/stampa |
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Princeton, N.J., : Princeton University Press, c2005 |
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ISBN |
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1-282-15738-8 |
9786612157387 |
1-4008-2648-9 |
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Edizione |
[Course Book] |
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Descrizione fisica |
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1 online resource (298 p.) |
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Collana |
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London mathematical society monograph series ; ; v. 31 |
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Disciplina |
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Soggetti |
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Heat equation |
Heat - Transmission - Measurement |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references (p. [265]-282) and index. |
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Nota di contenuto |
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Frontmatter -- Contents -- Preface -- Notation -- Chapter One. Sesquilinear Forms, Associated Operators, and Semigroups -- Chapter Two. Contractivity Properties -- Chapter Three. Inequalities for Sub-Markovian Semigroups -- Chapter Four. Uniformly Elliptic Operators on Domains -- Chapter Five. Degenerate-Elliptic Operators -- Chapter Six. Gaussian Upper Bounds for Heat Kernels -- Chapter Seven. Gaussian Upper Bounds and Lp-Spectral Theory -- Chapter Eight. A Review of the Kato Square Root Problem -- Bibliography -- Index |
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Sommario/riassunto |
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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, |
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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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2. |
Record Nr. |
UNINA9910437550603321 |
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Titolo |
Le stoffe di San Giuliano dal ritrovamento alla valorizzazione / / a cura di Emanuela Fiori |
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Pubbl/distr/stampa |
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Soggetti |
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Textile fabrics, Ancient - Analysis |
Textile fabrics, Ancient - Italy - Rimini |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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3. |
Record Nr. |
UNINA9910149709403321 |
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Autore |
Kato Tsuyoshi <1961-> |
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Titolo |
Dynamical scale transform in tropical geometry / / Tsuyoshi Kato (Kyoto University, Japan) |
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Pubbl/distr/stampa |
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New Jersey : , : World Scientific, , [2017] |
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©2017 |
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ISBN |
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Descrizione fisica |
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1 online resource (270 pages) |
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Disciplina |
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Soggetti |
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Tropical geometry |
Geometry, Algebraic |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Title from PDF file title page (viewed November 11, 2016). |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Sommario/riassunto |
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"This book provides comprehensive analysis of dynamical systems in tropical geometry, which include the author's significant discoveries and pioneering contributions. Tropical geometry is a kind of dynamical scale transform which connects real rational dynamics with piecewise linear one presented by max and plus algebras. A comparison method is given which estimates orbits corresponding to different rational dynamics by reduction to the piecewise linear dynamics. Both rational and piecewise linear dynamics appear in many important branches of mathematics. Tropical geometry can play a role or function to bridge between different subjects in mathematics. This book contains detailed accounts of basic strategy on how to apply tropical geometry to analysis in various mathematical subjects by presenting several applications which include: a rough classification of partial differential equations from the point of view of global behavior of solutions; construction of the infinite quasi-recursive rational dynamics, based on the automaton of the Burnside group by Aleshin-Grigorchuk; study on nearly periodicity of the pentagram map on the moduli space of the twisted polygons; spectral coincidence between lamplighter group in theory of automata groups and Box and ball systems corresponding to KdV equation in soliton theory. This book is self-contained, and |
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detailed accounts of theory of automata groups, BBS and the pentagram map are also included."--Publisher's website. |
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