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Titlebook: Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations; A Volume of Advances Sergio Albeverio,Michael Demuth,Bert-Wol

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Local Solutions to Quasi-linear Weakly Hyperbolic Differential Equations,as the sharp Levi conditions of .. type are formulated by means of certain weight functions. For Cauchy problems to such quasi-linear weakly hyperbolic equations, the following subjects are studied: local existence of solutions in Sobolev spaces and .., a blow-up criterion, domains of dependence, an
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Domain Perturbations and Capacity in General Hilbert Spaces and Applications to Spectral Theory, be a motivation for investigating and estimating the bottom eigenvalue. The main role is played by the Laplacian because this is one of the most important self-adjoint operators in mathematical physics as it plays a fundamental role in quantum mechanics, theory of heat, theory of vibrations and oth
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An Interpolation Family between Gabor and Wavelet Transformations,ordoba-Fefferman results (see [.]) and to define a differential calculus at the first order. This interpolation family is based on the representation through translated and modulated versions of an analyzing function, with the additional property that this family is naturally localized in paraboloid
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,From Wave to Klein—Gordon Type Decay Rates,oved. In these cases the solution has a Floquet behavior. More precisely, one can show that the energy cannot be estimated from above by time-dependent functions with a suitable growth order if . tends to infinity.
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