Analysis of heat equations on domains

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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Bibliographische Detailangaben
1. Verfasser:	Ouhabaz, El Maati
Format:	E-Book Buch
Sprache:	Englisch
Veröffentlicht:	Princeton, N.J Princeton University Press 2005
Ausgabe:	1
Schriftenreihe:	London Mathematical Society monographs
Schlagworte:	Adjoint Analytic semigroup Approximation Boundary value problem Bounded operator Boundedness Cauchy problem Characterization (mathematics) Coefficient Complex number Convex set Differential operator Dirichlet boundary condition Ellipse Elliptic operator Equation Estimation Euclidean space Existential quantification Functional analysis Heat Heat > Transmission > Measurement Heat equation Heat kernel Hermitian adjoint Hilbert space Inverse trigonometric functions Invertible matrix Irreducibility (mathematics) Lebesgue measure Lie group Linearity Lp space Martin Bridson Mathematical physics MATHEMATICS MATHEMATICS / Applied Measure (mathematics) Metric space Mixed boundary condition Neumann boundary condition Open set Partial differential equation Peter Sarnak Physics Pointwise Probability Resolvent set Ricci curvature Riemannian manifold Riesz representation theorem Riesz transform SCIENCE / Physics / Mathematical & Computational Self-adjoint Self-adjoint operator Semigroup Sesquilinear form Sign (mathematics) Singular integral Smoothness Sobolev inequality Special case Spectral theory Square root Stochastic calculus Theorem Theory Time derivative Upper and lower bounds Variable (mathematics) Weight function Open set Convex set Adjoint Boundedness Bounded operator Partial differential equation Self-adjoint operator Hermitian adjoint Invertible matrix Characterization (mathematics) Hilbert space Sesquilinear form Resolvent set Mathematical physics Time derivative Approximation Estimation Heat kernel Analytic semigroup Neumann boundary condition Semigroup Riesz representation theorem Mixed boundary condition Riemannian manifold Existential quantification Cauchy problem Boundary value problem Weight function Linearity Lie group Special case Lp space Martin Bridson Sign (mathematics) Ellipse Metric space Heat equation Theory Riesz transform Peter Sarnak Mathematics Dirichlet boundary condition C0 Upper and lower bounds Lebesgue measure Singular integral Pointwise Theorem Euclidean space Sobolev inequality Inverse trigonometric functions Coefficient Square root Probability Equation Functional analysis Smoothness Complex number Variable (mathematics) Spectral theory Self-adjoint Stochastic calculus Ricci curvature Elliptic operator Differential operator Measure (mathematics) Irreducibility (mathematics)
ISBN:	9781400826483, 9780691120164, 0691120161, 1400826489
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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. He then treats Lp properties of solutions to a wide class of heat equations that have been developed over the last fifteen years. These primarily concern the interplay of heat equations in functional analysis, spectral theory and mathematical physics.
Bibliographie:	Includes bibliographical references (p. [265]-282) and index
ISBN:	9781400826483 9780691120164 0691120161 1400826489
DOI:	10.1515/9781400826483