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Books on the topic 'Manifolds with boundary'

Author: Grafiati

Published: 4 June 2021

Last updated: 13 February 2022

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1

Booß-Bavnbek, Bernhelm, Gerd Grubb, and Krzysztof P. Wojciechowski, eds. Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds. American Mathematical Society, 2005. http://dx.doi.org/10.1090/conm/366.

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2

Esposito, Giampiero. Euclidean Quantum Gravity on Manifolds with Boundary. Springer Netherlands, 1997.

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3

McCullough, Darryl. Homeomorphisms of 3-manifolds with compressible boundary. American Mathematical Society, 1986.

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4

Esposito, Giampiero, Alexander Yu Kamenshchik, and Giuseppe Pollifrone. Euclidean Quantum Gravity on Manifolds with Boundary. Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-011-5806-0.

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5

Esposito, Giampiero. Euclidean quantum gravity on manifolds with boundary. Kluwer Academic Publishers, 1997.

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6

Frank, L. S. Spaces and singular perturbations on manifolds without boundary. North-Holland, 1990.

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7

Dumortier, Freddy. Canard cycles and center manifolds. American Mathematical Society, 1996.

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8

1941-, Booss Bernhelm, Grubb Gerd, and Wojciechowski Krzysztof P. 1953-, eds. Spectral geometry of manifolds with boundary and decomposition of manifolds: Proceedings of the Workshop on Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds, Roskilde University, Roskilde, Denmark, August 6-9, 2003. American Mathematical Society, 2005.

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9

1944-, Moscovici Henri, and Pflaum M. (Markus), eds. Connes-Chern character for manifolds with boundary and eta cochains. American Mathematical Society, 2012.

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10

Singular perturbations I. Spaces and singular perturbations on manifolds without boundary. North-Holland, 1990.

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11

1922-, Markus L., ed. Boundary value problems and symplectic algebra for ordinary differential and quasi-differential operators. American Mathematical Society, 1999.

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12

Kirk, P. Analytic deformations of the spectrum of a family of Dirac operators on an odd-dimensional manifold with boundary. American Mathematical Society, 1996.

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13

Bert-Wolfgang, Schulze, ed. Crack theory and edge singularities. Kluwer Academic Publishers, 2003.

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14

Singular sets of minimizers for the Mumford-Shah functional. Birkhäuser-Verlag, 2005.

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15

C.I.M.E. Session "Real Methods in Complex and CR Geometry" (2002 Martina Franca, Italy). Real methods in complex and CR geometry: Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, June 30-July 6, 2002. Edited by Zaĭt︠s︡ev D. F, Zampieri G, and Abate Marco 1962-. Springer, 2004.

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16

Barnett, Alex, 1972 December 7- editor of compilation, ed. Spectral geometry. American Mathematical Society, 2012.

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17

Marrakesh Workshop on Geometric Analysis of Several Complex Variables and Related Topics (2010 Marrakech, Morocco). Geometric analysis of several complex variables and related topics: Marrakesh Workshop on Geometric Analysis of Several Complex Variables and Related Topics, May 10-14, 2010, Marrakesh, Morocco. Edited by Barkatou Y. 1967-. American Mathematical Society, 2011.

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18

1943-, Gossez J. P., and Bonheure Denis, eds. Nonlinear elliptic partial differential equations: Workshop in celebration of Jean-Pierre Gossez's 65th birthday, September 2-4, 2009, Université libre de Bruxelles, Belgium. American Mathematical Society, 2011.

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19

Nahmod, Andrea R. Recent advances in harmonic analysis and partial differential equations: AMS special sessions, March 12-13, 2011, Statesboro, Georgia : the JAMI Conference, March 21-25, 2011, Baltimore, Maryland. Edited by American Mathematical Society and JAMI Conference (2011 : Baltimore, Md.). American Mathematical Society, 2012.

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20

1966-, Pérez Joaquín, and Galvez José A. 1972-, eds. Geometric analysis: Partial differential equations and surfaces : UIMP-RSME Santaló Summer School geometric analysis, June 28-July 2, 2010, University of Granada, Granada, Spain. American Mathematical Society, 2012.

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21

Hodge-Laplacian: Boundary Value Problems on Riemannian Manifolds. De Gruyter, Inc., 2016.

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22

Morse Theory of gradient flows, concavity and complexity on manifolds with boundary . World Scientific Publishing, 2020.

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23

Singular Perturbations I - Spaces and Singular Perturbations on Manifolds without Boundary. Elsevier, 1990. http://dx.doi.org/10.1016/s0168-2024(08)x7010-9.

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24

Peterson, Eric. Formal Geometry and Bordism Operations. Cambridge University Press, 2018.

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25

Morse theory of gradient flows, cncavity and complexity on manifolds with boundary. World Scientific, 2020.

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26

Multi-Interval Linear Ordinary Boundary Value Problems and Complex Symplectic Algebra (Memoirs of the American Mathematical Society). American Mathematical Society, 2001.

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27

Behrens, Stefan, Boldizsar Kalmar, Min Hoon Kim, Mark Powell, and Arunima Ray, eds. The Disc Embedding Theorem. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198841319.001.0001.

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The disc embedding theorem provides a detailed proof of the eponymous theorem in 4-manifold topology. The theorem, due to Michael Freedman, underpins virtually all of our understanding of 4-manifolds in the topological category. Most famously, this includes the 4-dimensional topological Poincaré conjecture. Combined with the concurrent work of Simon Donaldson, the theorem reveals a remarkable disparity between the topological and smooth categories for 4-manifolds. A thorough exposition of Freedman’s proof of the disc embedding theorem is given, with many new details. A self-contained account o

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28

Mitrea, Dorina, Marius Mitrea, and Michael Taylor. Layer Potentials, the Hodge Laplacian, and Global Boundary Problems in Nonsmooth Reimannian Manifolds (Memoirs of the American Mathematical Society). American Mathematical Society, 2001.

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29

Epstein, Charles L., and Rafe Mazzeo. Maximum Principles and Uniqueness Theorems. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691157122.003.0003.

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This chapter proves maximum principles for two parabolic and elliptic equations from which the uniqueness results follow easily. It also considers the main consequences of the maximum principle, both for the model operators on an open orthant and for the general Kimura diffusion operators on a compact manifold with corners, as well as their elliptic analogues. Of particular note in this regard is a generalization of the Hopf boundary point maximum principle. The chapter first presents maximum principles for the model operators before discussing Kimura diffusion operators on manifolds with corn

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30

Singular Sets of Minimizers for the Mumford-Shah Functional. Not Avail, 2005.

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31

Epstein, Charles L., and Rafe Mazzeo. Introduction. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691157122.003.0001.

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This book proves the existence, uniqueness and regularity results for a class of degenerate elliptic operators known as generalized Kimura diffusions, which act on functions defined on manifolds with corners. It presents a generalization of the Hopf boundary point maximum principle that demonstrates, in the general case, how regularity implies uniqueness. The book is divided in three parts. Part I deals with Wright–Fisher geometry and the maximum principle; Part II is devoted to an analysis of model problems, and includes degenerate Hölder spaces; and Part III discusses generalized Kimura diff

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32

Tumanov, Alexander, John Erik Fornaess, Xiaojun Huang, Jean-Pierre Rosay, and Marco Abate. Real Methods in Complex and CR Geometry: Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, June 30 - July 6, 2002 (Lecture Notes ... Mathematics / Fondazione C.I.M.E., Firenze). Springer, 2004.

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33

Epstein, Charles L., and Rafe Mazzeo. Degenerate Diffusion Operators Arising in Population Biology (AM-185). Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691157122.001.0001.

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This book provides the mathematical foundations for the analysis of a class of degenerate elliptic operators defined on manifolds with corners, which arise in a variety of applications such as population genetics, mathematical finance, and economics. The results discussed in this book prove the uniqueness of the solution to the martingale problem and therefore the existence of the associated Markov process. The book uses an “integral kernel method” to develop mathematical foundations for the study of such degenerate elliptic operators and the stochastic processes they define. The precise natur

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34

Epstein, Charles L., and Rafe Mazzeo. The Semi-group on. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691157122.003.0012.

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This chapter deals with the semi-group on the space Β‎⁰(P). It first describes the boundary behavior of elements of the adjoint operator at points in the interiors of hypersurface boundary components before discussing the null-space of the adjoint under the hypothesis that a generalized Kimura diffusion operator, L, meets bP cleanly. It then examines long time asymptotics, along with a lemma in which P is a compact manifold with corners and L is a generalized Kimura diffusion on P. It also considers the existence of irregular solutions to the homogeneous equations Lu = f, for functions that do

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35

Roach, Rebecca. Coda. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198825418.003.0009.

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This coda looks to the future of the interview. With the advent of so-called Web 2.0 the threshold of public and private is radically shifting. For the interview, historically positioned on this boundary, the possibilities are manifold, if not yet certain. Methodologically, the long-standing dominance of interviewing within the social sciences is being called into question as web-based and social media platforms generate big data pools. The chapter discusses the import of chatbots and formats such as Reddit’s AMA for the interview’s future. It speculates that as the interview method becomes le

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36

Introduction to Quantum Graphs (Mathematical Surveys and Monographs). American Mathematical Society, 2012.

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