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  • Produktbild: Functional Analytic Methods for Heat Green Operators
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Functional Analytic Methods for Heat Green Operators Heat Kernel Asymptotics via the Weyl-Hörmander Calculus

Aus der Reihe Lecture Notes in Mathematics
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83,99 € UVP 96,29 €

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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

19.09.2024

Abbildungen

XVIII, 644 p.

Verlag

Springer

Seitenzahl

644

Maße (L/B/H)

23,5/15,5/3,6 cm

Gewicht

990 g

Auflage

2024

Sprache

Englisch

ISBN

978-3-031-66611-7

Beschreibung

Rezension

“The book is very carefully written, and the explanation of the main ideas is always given to clarify the methods and steps. It is a very valuable and useful contribution for scholars in the field and researchers who wish to get an idea of methods and problems related to heat kernel asymptotics for boundary value problems.” (Alberto Parmeggiani, Mathematical Reviews, October, 2025) 


“The book is written carefully taking into account the interests of the reader, and it can be useful for scholars who work in the theory of partial differential equations and boundary value problems.” (Vladimir Vasilyev, zbMATH 1555.35004, 2025)

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

19.09.2024

Abbildungen

XVIII, 644 p.

Verlag

Springer

Seitenzahl

644

Maße (L/B/H)

23,5/15,5/3,6 cm

Gewicht

990 g

Auflage

2024

Sprache

Englisch

ISBN

978-3-031-66611-7

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: ProductSafety@springernature.com

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  • Produktbild: Functional Analytic Methods for Heat Green Operators
  • Produktbild: Functional Analytic Methods for Heat Green Operators

  • - Introduction and Main Results.-
    Part I Functional Analytic Approach to Heat Operators.
    - Preliminaries from Manifold Theory.- Finite Double-Norm and Trace-Class Operators on a Hilbert Space.- Hilbert–Schmidt and Trace-Class Operators on a Manifold.- Analytic Semigroups via Dunford Integrals.-
    Part II Pseudo-Differential Operators and Elliptic Boundary Value Problems.
    - Lp Theory of Pseudo-Differential Operators.- Elliptic Boundary Value Problems on a Manifold.- Lp Theory of Elliptic Boundary Value Problems.- Boutet de Monvel Calculus.- Pseudo-Differential Operator Approach to Agmon’s Method.-
    Part III Analytic Semigroup Approach to Heat Operators
    .- Generation Theorem for Analytic Semigroups via Agmon’s Method.- Hypoelliptic Robin Problems via Boutet de Monvel Calculus.- Distribution Kernel of Analytic Semigroups in the Hypoelliptic Case.-
    Part IV The Fundamental Solution for the Cauchy Problem.
    - The Cauchy Problem for the Heat Operator on Rn.- Fundamental Solution Operator for the Cauchy Problem on a Manifold.-
    Part V Symbolic Calculus for Dirichlet, Neumann and Regular Robin Problems
    .- Symbolic Calculus near the Boundary.- Analytic Version of Weyl Bases for the Heat Kernel on the Half Axis.- Symbolic Calculus for Boundary Value Problems on a Manifold.-
    Part VI Transport Equations and Trace Formulas on the Half Space
    .- Transport Equations via the Weyl–Hörmander Calculus.- Several Trace Formulas for Auxiliary Operators on the Half Space.-
    Part VII Heat Kernel Asymptotics for Dirichlet, Neumann and Regular Robin Problems
    .- Heat Kernel Asymptotics for the Dirichlet Problem.- Heat Kernel Asymptotics for the Neumann Problem.- Heat Kernel Asymptotics for the Regular Robin Problem.- Heat Kernel Asymptotics for the Generalized Regular Robin Problem.-
    Part VIII Heat Kernel Asymptotics for the Hypoelliptic Robin Problem.
    - Heat Kernel Asymptotics for the Hypoelliptic Robin Problem.- Examples in the Plane R2.- Concluding Remarks.