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Heat Kernels and Spectral Theory

£44.99

Part of Cambridge Tracts in Mathematics

  • Date Published: February 1991
  • availability: Available
  • format: Paperback
  • isbn: 9780521409971

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  • An advanced monograph on a central topic in the theory of differential equations, Heat Kernels and Spectral Theory investigates the theory of second-order elliptic operators. While the study of the heat equation is a classical subject, this book analyses the improvements in our quantitative understanding of heat kernels. The author considers variable coefficient operators on regions in Euclidean space and Laplace-Beltrami operators on complete Riemannian manifolds. He also includes results pertaining to the heat kernels of Schrödinger operators; such results will be of particular interest to mathematical physicists, and relevant too to those concerned with properties of Brownian motion and other diffusion processes.

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    Product details

    • Date Published: February 1991
    • format: Paperback
    • isbn: 9780521409971
    • length: 208 pages
    • dimensions: 229 x 152 x 12 mm
    • weight: 0.31kg
    • availability: Available
  • Table of Contents

    Preface
    1. Introductory concepts
    2. Logarithmic Sobolev inequalities
    3. Gaussian bounds on heat kernels
    4. Boundary behaviour
    5. Riemannian manifolds
    References
    Notation index
    Index.

  • Author

    E. B. Davies

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