Global existence and blow-up for a class of nonlocal nonlinear Cauchy problems arising in elasticity

We study the initial-value problem for a general class of nonlinear nonlocal wave equations arising in one-dimensional nonlocal elasticity. The model involves a convolution integral operator with a general kernel function whose Fourier transform is nonnegative. We show that some well-known examples...

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Veröffentlicht in:	Nonlinearity 2010-01, Vol.23 (1), p.107-118
Hauptverfasser:	Duruk, N, Erbay, H A, Erkip, A
Format:	Artikel
Sprache:	eng
Schlagworte:	Exact sciences and technology Global analysis, analysis on manifolds Mathematical analysis Mathematical methods in physics Mathematics Numerical analysis Numerical analysis. Scientific computation Other topics in mathematical methods in physics Partial differential equations Partial differential equations, initial value problems and time-dependant initial-boundary value problems Physics Sciences and techniques of general use Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
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