Nonlinear Vibrations and the Wave Equation

Author:   Alain Haraux
Publisher:   Springer International Publishing AG
Edition:   1st ed. 2018
ISBN:  

9783319785141


Pages:   102
Publication Date:   14 May 2018
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Our Price $145.17 Quantity:  
Add to Cart

Share |

Nonlinear Vibrations and the Wave Equation


Add your own review!

Overview

This book gathers the revised lecture notes from a seminar course offered at the Federal University of Rio de Janeiro in 1986, then in Tokyo in 1987. An additional chapter has been added to reflect more recent advances in the field.

Full Product Details

Author:   Alain Haraux
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   1st ed. 2018
Weight:   0.454kg
ISBN:  

9783319785141


ISBN 10:   3319785141
Pages:   102
Publication Date:   14 May 2018
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

1 Unbounded Linear Operators and Evolution Equations.- 2 A Class of Abstract Wave Equations.- 3 Almost Periodic Functions and the Abstract Wave Equation.- 4 The Wave Equation in a Bounded Domain.- 5 The Initial-Value Problem for a Mildly Perturbed Wave Equation.- 6 The Initial-Value Problem in Presence of a Strong Dissipation.- 7 Solutions on R+ and Boundedness of the Energy.- 8 Existence of Forced Oscillations.- 9 Stability of Periodic or Almost Periodic Solutions.- 10 The Conservative Case in One Spatial Dimension.- 11 The Conservative Case in Several Spatial Dimensions.- 12 Thirthy Years After.

Reviews

“The text is written in a lucid and reader-friendly style, and it requires only a basic knowledge of functional analysis to be understood. … This nice monograph is recommended to everybody interested in a concise but clear introduction to dissipative wave equations in bounded domains. It leads the reader to understand open problems in a classical research area which is still far from being completely explored.” (Enzo Vitillaro, Mathematical Reviews, December, 2018)


The text is written in a lucid and reader-friendly style, and it requires only a basic knowledge of functional analysis to be understood. ... This nice monograph is recommended to everybody interested in a concise but clear introduction to dissipative wave equations in bounded domains. It leads the reader to understand open problems in a classical research area which is still far from being completely explored. (Enzo Vitillaro, Mathematical Reviews, December, 2018)


Author Information

Prof. Alain Haraux studied at the Ecole Normale Superieure, Paris from 1969 to 1973. He became a researcher at the CNRS, France in 1973 and received his HDR (habilitation to conduct research) in Mathematics from the University of Paris 6 (now: Sorbonne University) in 1978. He is currently an Emeritus Director of Research at the CNRS, and is the author of more than 150 specialized papers and 6 books. Throughout his career, his main field of research has been the long-term behavior of the solutions to nonlinear partial differential equations, in particular such topics as stability, near-periodicity, oscillation theory, maximal attractors, stabilization theory and exact controllability.

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions
Latest Reading Guide

MRG2025CC

 

Shopping Cart
Your cart is empty
Shopping cart
Mailing List