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Perturbations of Positive Semigroups with Applications

Jacek Banasiak Luisa Arlotti

Resumen/Descripción – provisto por la editorial

No disponible.

Palabras clave – provistas por la editorial

Group Theory and Generalizations; Applications of Mathematics; Functional Analysis; Mathematical Methods in Physics; Appl.Mathematics/Computational Methods of Engineering

Disponibilidad
Institución detectada Año de publicación Navegá Descargá Solicitá
No detectada 2006 SpringerLink

Información

Tipo de recurso:

libros

ISBN impreso

978-1-85233-993-7

ISBN electrónico

978-1-84628-153-2

Editor responsable

Springer Nature

País de edición

Reino Unido

Fecha de publicación

Información sobre derechos de publicación

© Springer-Verlag London Limited 2006

Cobertura temática

matematica

Matemáticas

fisica

Ciencias físicas

Tabla de contenidos

doi: 10.1007/1-84628-153-9_1

Introduction

Pp. 1-8

doi: 10.1007/1-84628-153-9_2

Basic Facts from Functional Analysis and Banach Lattices

Palabras clave: Banach Space; Basic Fact; Positive Operator; Banach Lattice; Riesz Space.

Pp. 9-67

doi: 10.1007/1-84628-153-9_3

An Overview of Semigroup Theory

Palabras clave: Banach Space; Cauchy Problem; Classical Solution; Mild Solution; Banach Lattice.

Pp. 69-114

doi: 10.1007/1-84628-153-9_4

Some Classical Perturbation Results

Pp. 115-132

doi: 10.1007/1-84628-153-9_5

Positive Perturbations of Positive Semigroups

Palabras clave: Spectral Radius; Positive Operator; Banach Lattice; Closed Operator; Positive Cone.

Pp. 133-155

doi: 10.1007/1-84628-153-9_6

Substochastic Semigroups and Generator Characterization

Palabras clave: Positive Operator; Fragmentation Model; Generator Characterization; Positive Linear Operator; Nondecreasing Sequence.

Pp. 157-177

doi: 10.1007/1-84628-153-9_7

Applications to Birth-and-death Problems

Palabras clave: Existence Result; Maximal Operator; Kolmogorov Equation; Adjoint Problem; Bound Perturbation.

Pp. 179-195

doi: 10.1007/1-84628-153-9_8

Applications to Pure Fragmentation Problems

Palabras clave: Multiple Solution; Mild Solution; Continuous Semigroup; Fragmentation Event; Fragmentation Rate.

Pp. 197-227

doi: 10.1007/1-84628-153-9_9

Fragmentation with Growth and Decay

Palabras clave: Mass Loss; Cauchy Problem; Abstract Cauchy Problem; Fragmentation Rate; Positive Semigroup.

Pp. 229-283

doi: 10.1007/1-84628-153-9_10

Applications to Kinetic Theory

Palabras clave: Boltzmann Equation; Boundary Operator; Kinetic Theory; Test Particle; Collision Frequency.

Pp. 285-369