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**Synopsis:** This book is the first to be devoted entirely to the potential theory of the heat equation, and thus deals with time dependent potential theory. Its purpose is to give a logical, mathematically precise introduction to a subject where previously many proofs were not written in detail, due to their similarity with those of the potential theory of Laplace's equation. The approach to subtemperatures is a recent one, based on the Poisson integral representation of temperatures on a circular cylinder. Characterizations of subtemperatures in terms of heat balls and modified heat balls are proved, and thermal capacity is studied in detail. The generalized Dirichlet problem on arbitrary open sets is given a treatment that reflects its distinctive nature for an equation of parabolic type. Also included is some new material on caloric measure for arbitrary open sets. Each chapter concludes with bibliographical notes and open questions. The reader should have a good background in the calculus of functions of several variables, in the limiting processes and inequalities of analysis, in measure theory, and in general topology for Chapter 9.

Title: **Introduction to Heat Potential Theory (...**

Publisher: **American Mathematical Society**

Publication Date: **2012**

Binding: **Hardcover**

Book Condition: **Used: Good**

Published by
American Mathematical Society
(2012)

ISBN 10: 0821849980
ISBN 13: 9780821849989

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**Book Description **American Mathematical Society, 2012. Hardcover. Book Condition: Good. Item may show signs of shelf wear. Pages may include limited notes and highlighting. Includes supplemental or companion materials if applicable. Access codes may or may not work. Connecting readers since 1972. Customer service is our top priority. Bookseller Inventory # mon0000741288

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Published by
American Mathematical Society
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ISBN 10: 0821849980
ISBN 13: 9780821849989

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**Book Description **American Mathematical Society, 2012. PAP. Book Condition: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Bookseller Inventory # CE-9780821849989

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Published by
American Mathematical Society, United States
(2012)

ISBN 10: 0821849980
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**Book Description **American Mathematical Society, United States, 2012. Paperback. Book Condition: New. Language: English . Brand New Book. This book is the first to be devoted entirely to the potential theory of the heat equation, and thus deals with time dependent potential theory. Its purpose is to give a logical, mathematically precise introduction to a subject where previously many proofs were not written in detail, due to their similarity with those of the potential theory of Laplace s equation. The approach to subtemperatures is a recent one, based on the Poisson integral representation of temperatures on a circular cylinder. Characterizations of subtemperatures in terms of heat balls and modified heat balls are proved, and thermal capacity is studied in detail. The generalized Dirichlet problem on arbitrary open sets is given a treatment that reflects its distinctive nature for an equation of parabolic type. Also included is some new material on caloric measure for arbitrary open sets. Each chapter concludes with bibliographical notes and open questions. The reader should have a good background in the calculus of functions of several variables, in the limiting processes and inequalities of analysis, in measure theory, and in general topology for Chapter 9. Bookseller Inventory # AAN9780821849989

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Published by
American Mathematical Society, United States
(2012)

ISBN 10: 0821849980
ISBN 13: 9780821849989

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Paperback
Quantity Available: 1

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**Book Description **American Mathematical Society, United States, 2012. Paperback. Book Condition: New. Language: English . Brand New Book. This book is the first to be devoted entirely to the potential theory of the heat equation, and thus deals with time dependent potential theory. Its purpose is to give a logical, mathematically precise introduction to a subject where previously many proofs were not written in detail, due to their similarity with those of the potential theory of Laplace s equation. The approach to subtemperatures is a recent one, based on the Poisson integral representation of temperatures on a circular cylinder. Characterizations of subtemperatures in terms of heat balls and modified heat balls are proved, and thermal capacity is studied in detail. The generalized Dirichlet problem on arbitrary open sets is given a treatment that reflects its distinctive nature for an equation of parabolic type. Also included is some new material on caloric measure for arbitrary open sets. Each chapter concludes with bibliographical notes and open questions. The reader should have a good background in the calculus of functions of several variables, in the limiting processes and inequalities of analysis, in measure theory, and in general topology for Chapter 9. Bookseller Inventory # AAN9780821849989

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Published by
American Mathematical Society

ISBN 10: 0821849980
ISBN 13: 9780821849989

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**Book Description **American Mathematical Society. Hardcover. Book Condition: New. New copy - Usually dispatched within 2 working days. Bookseller Inventory # B9780821849989

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Published by
American Mathematical Society
(2012)

ISBN 10: 0821849980
ISBN 13: 9780821849989

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**Book Description **American Mathematical Society, 2012. Hardcover. Book Condition: New. book. Bookseller Inventory # M0821849980

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**Book Description **Amer Mathematical Society, 2012. Hardcover. Book Condition: Brand New. 266 pages. 10.25x7.25x0.75 inches. In Stock. Bookseller Inventory # __0821849980

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**Book Description **New India Book Agency, 2012. Book Condition: New. Bookseller Inventory # NIBA-9780821849989

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**Book Description **New India Book Agency, 2012. Book Condition: New. Bookseller Inventory # NIBA-9780821849989

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Published by
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ISBN 13: 9780821849989

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**Book Description **American Mathematical Society, 2012. Hardcover. Book Condition: Used: Good. Bookseller Inventory # SONG0821849980

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