Titlebook: Nonlinear Vibrations and the Wave Equation; Alain Haraux Book 2018 The Author(s) 2018 Wave equation.Nonlinear vibrations.Almost periodic o

Onerous

The Initial-Value Problem For A Mildly Perturbed Wave Equation,Let ., . be a bounded open set. As a preliminary step towards more complicated situations, in this chapter we study the initial-value problem associated to semi-linear wave equations of the form.

metropolitan

,The Initial-Value Problem in Presence of a Strong Dissipation,Let . be a bounded open subset of ., .. In this section, we study the initial-value problem associated to the semi-linear wave equation.

Cognizance

Solutions on , and Boundedness of the Energy,Let . be as in Chap. . as well as ., ., .. In this chpater we consider the problem on the half-line ..

遗传学

Congruous

Stability of Periodic or Almost Periodic Solutions,In this chapter we study the asymptotic behavior of solutions as ., mainly in the case where . is periodic or more generally almost periodic. As already mentioned in Remark 8.4.2, essentially nothing is known in this direction if f is non-linear. Therefore we restrict ourselves to the purely dissipative case. We start with a general result.

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Recent Evolutions and Perspectives,In this chapter, we provide a concise overview of some topics ralated to the main points of this survey that became prominent between 1986 and 2017. Concerning the initial value problem, nothing essentially new happened.

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Alain Haraux beyond the basic. .Created purely with the reader in mind, .The Clinician‘s Guide to Dermatologic Differential Diagnosis, 2nd Edition. strives to enhance the learning and teaching of differential diagnosis wit978-3-030-63528-2978-3-030-63527-5