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Nonlinear Vibrations and the Wave Eq...

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Nonlinear Vibrations and the Wave Equation

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Nonlinear Vibrations and the Wave Equation/ by Alain Haraux.
Author:	Haraux, Alain.
Description:	X, 102 p.online resource. :
Contained By:	Springer Nature eBook
Subject:	Partial differential equations. -
Online resource:	https://doi.org/10.1007/978-3-319-78515-8
ISBN:	9783319785158

Nonlinear Vibrations and the Wave Equation
Haraux, Alain.

Nonlinear Vibrations and the Wave Equation[electronic resource] /by Alain Haraux. - 1st ed. 2018. - X, 102 p.online resource. - SpringerBriefs in Mathematics,2191-8198. - SpringerBriefs in Mathematics,.

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.

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.

ISBN: 9783319785158

Standard No.: 10.1007/978-3-319-78515-8doiSubjects--Topical Terms:

1102982
Partial differential equations.

LC Class. No.: QA370-380

Dewey Class. No.: 515.353

Nonlinear Vibrations and the Wave Equation
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505 0 $a 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.
520 $a 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.
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