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Titlebook: Advances in Phase Space Analysis of Partial Differential Equations; In Honor of Ferrucci Antonio Bove,Daniele Del Santo,M.K. Venkatesha Mur

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https://doi.org/10.1007/978-3-031-51224-7 for all . We examine the singularities of the scattering kernel . defined as the Fourier transform of the scattering amplitude . related to the Dirichlet problem for the wave equation in . = R. . We prove that if . is trapping and . is nondegenerate, then there exist reflecting .-rays . with sojou
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Complex Systems and Their Applicationses, 2007]) to algebras of matrices, first of finite rank and then of infinite rank. The resulting differential equations in these algebras can only make sense in a noncommutative setup, as the basic “space derivation” is commutation with another (fixed) matrix. The infinite rank situation is reinter
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https://doi.org/10.1007/978-3-031-51224-7Solutions to weakly hyperbolic Cauchy problems contain as one of the most important properties the so-called .. Recently authors have begun to understand how to show that the loss really appears. In this note we describe several models and explain different ways how to attack the question that a . loss of regularity really appears.
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