Albanese, Angela Ama; Popivanov, Petar; Zanghirati, Luisa Prescribing Gevrey singularities for solutions of pseudodifferential operators. (English) Zbl 1196.35238 J. Math. Kyoto Univ. 49, No. 2, 287-306 (2009). The authors obtain conditions by means of a priori estimates to ensure the existence of distribution or smooth solutions with prescribed Gevrey wave front sets for pseudodifferential operators of finite order. To illustrate the results, a concrete example is analysed in detail. Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 35S05 Pseudodifferential operators as generalizations of partial differential operators 35D30 Weak solutions to PDEs 35A18 Wave front sets in context of PDEs 35B45 A priori estimates in context of PDEs 46E10 Topological linear spaces of continuous, differentiable or analytic functions 46F05 Topological linear spaces of test functions, distributions and ultradistributions 58J40 Pseudodifferential and Fourier integral operators on manifolds Keywords:pseudodifferential operator; Gevrey class; wave front set PDF BibTeX XML Cite \textit{A. A. Albanese} et al., J. Math. Kyoto Univ. 49, No. 2, 287--306 (2009; Zbl 1196.35238) Full Text: DOI Euclid OpenURL