Vector-valued Laplace Transforms and Cauchy Problems

Vector-valued Laplace Transforms and Cauchy Problems

Charles J.K. Batty / Matthias Hieber / Wolfgang Arendt

174,02 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
2013
ISBN:
9783034803274
174,02 €
IVA incluido
Disponible

Selecciona una librería:

  • Librería Samer Atenea
  • Librería Aciertas (Toledo)
  • Kálamo Books
  • Librería Perelló (Valencia)
  • Librería Elías (Asturias)
  • Donde los libros
  • Librería Kolima (Madrid)
  • Librería Proteo (Málaga)

This monograph gives a systematic account of the theory of vector-valued Laplace transforms, ranging from representation theory to Tauberian theorems. In parallel, the theory of linear Cauchy problems and semigroups of operators is developed completely in the spirit of Laplace transforms. Existence and uniqueness, regularity, approximation and above all asymptotic behaviour of solutions are studied. Diverse applications to partial differential equations are given. The book contains an introduction to the Bochner integral and several appendices on background material. It is addressed to students and researchers interested in evolution equations, Laplace and Fourier transforms, and functional analysis. The second edition contains detailed notes on the developments in the last decade. They include, for instance, a new characterization of well-posedness of abstract wave equations in Hilbert space due to M. Crouzeix. Moreover new quantitative results on asymptotic behaviour of Laplace transforms have been added. The references are updated and some errors have been corrected.

Artículos relacionados

  • ORDIN DIFF EQUA & BOUND ..(V1)
    GRAEF JOHN R / John R Graef / Johnny Henderson / JOHNNY HENDERSON LINGJU K JOHN R GRAEF / Lingju Kong
    The authors give a treatment of the theory of ordinary differential equations (ODEs) that is excellent for a first course at the graduate level as well as for individual study. The reader will find it to be a captivating introduction with a number of non-routine exercises dispersed throughout the book.The authors begin with a study of initial value problems for systems of diffe...
    Disponible

    102,39 €

  • Comparison Principles for General Potential Theories and PDEs
    F. Reese Harvey / H. Blaine Lawson / Marco Cirant
    An examination of the symbiotic and productive relationship between fully nonlinear partial differential equations and generalized potential theoriesIn recent years, there has evolved a symbiotic and productive relationship between fully nonlinear partial differential equations and generalized potential theories. This book examines important aspects of this story. One main purp...
    Disponible

    102,74 €

  • Comparison Principles for General Potential Theories and PDEs
    F. Reese Harvey / H. Blaine Lawson / Marco Cirant
    An examination of the symbiotic and productive relationship between fully nonlinear partial differential equations and generalized potential theoriesIn recent years, there has evolved a symbiotic and productive relationship between fully nonlinear partial differential equations and generalized potential theories. This book examines important aspects of this story. One main purp...
    Disponible

    225,89 €

  • MATHEMATICS FOR ENGINEERS (V1)
    Thomas Westermann / WESTERMANN THOMAS
    The Karlsruhe University of Applied Sciences started an English-language Bachelor’s program in Electrical Engineering in 2021. In order to support our international students with appropriate material, this three-volume textbook was written. Taking into account that different students will attend different mathematics courses, we decided to design three volumes of a series of ma...
    Disponible

    70,34 €

  • Dispersive Partial Differential Equations
    M. Burak Erdoğan / Nikolaos Tzirakis
    ...
    Disponible

    66,85 €

  • An Introduction to Harmonic Analysis on Semisimple Lie Groups
    V. S. Varadarajan / VSVaradarajan
    ...
    Disponible

    130,28 €