Analysis of Heat Equations on Domains. (LMS-31) /

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. H...

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Détails bibliographiques
Auteur principal: Ouhabaz, El Maati
Format: Électronique eBook
Langue:Inglés
Publié: Princeton, N.J. : Princeton University Press, 2005.
Collection:Book collections on Project MUSE.
Sujets:
Heat > Transmission > Measurement.
Heat equation.
SCIENCE > Physics > Mathematical & Computational.
MATHEMATICS > Differential Equations > Partial.
Équation de la chaleur.
Electronic book.
Electronic books.
Accès en ligne:Texto completo
Table des matières:
  • Preface; Notation; Chapter 1. SESQUILINEAR FORMS, ASSOCIATED OPERATORS, AND SEMIGROUPS; Chapter 2. CONTRACTIVITY PROPERTIES; Chapter 3. INEQUALITIES FOR SUB-MARKOVIAN SEMIGROUPS; Chapter 4. UNIFORMLY ELLIPTIC OPERATORS ON DOMAINS; Chapter 5. DEGENERATE-ELLIPTIC OPERATORS; Chapter 6. GAUSSIAN UPPER BOUNDS FOR HEAT KERNELS; Chapter 7. GAUSSIAN UPPER BOUNDS AND L[sup(p)]-SPECTRAL THEORY; Chapter 8. A REVIEW OF THE KATO SQUARE ROOT PROBLEM; Bibliography; Index

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