Pseudodifferential Operators
M. Nedeljkov, D. Perišić, S. Pilipović (1997)
Zbornik Radova
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Displaying similar documents to “Microlocal analysis and seismic imaging”
Pseudodifferential Operators
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Microlocal analysis in the dual of a Colombeau algebra: generalized wave front sets and noncharacteristic regularity.
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We give a new representation of solutions to a class of time-dependent Schrödinger type equations via the short-time Fourier transform and the method of characteristics. Moreover, we also establish some novel estimates for oscillatory integrals which are associated with the fractional power of negative Laplacian with . Consequently the classical Hamiltonian corresponding to the previous Schrödinger type equations is studied. As applications, a series of new boundedness results for...
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Vengono considerate equazioni alle derivate parziali semilineari con caratteristiche multiple. Si studia in particolare la loro risolubilità locale e la buona positura del problema di Cauchy nell'ambito delle classi di Gevrey.