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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Bibliographic Details
Main Author: Ouhabaz, El Maati
Format: eBook Book
Language:English
Published: Princeton, N.J Princeton University Press 2005
Edition:1
Series:London Mathematical Society monographs
Subjects:
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 Access:Get full text
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Description
Summary: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.
Bibliography:Includes bibliographical references (p. [265]-282) and index
ISBN:9781400826483
9780691120164
0691120161
1400826489
DOI:10.1515/9781400826483