Gevrey hypoellipticity for partial differential equations with characteristics of higher multiplicity.
Analytic and Gevrey Hypoellipticity
Pseudodifferential operators with multiple characteristics and Gevrey classes
Propagation of singularities and local solvability in Gevrey classes
A class of pseudo differential operators on the product of two manifolds and applications
Microlocal analysis for spatially inhomogeneous pseudo differential operators
A general class of Gevrey-type pseudo differential operators
Solvability for semilinear PDE with multiple characteristics
We prove local solvability in Gevrey spaces for a class of semilinear partial differential equations. The linear part admits characteristics of multiplicity k ≥ 2 and data are fixed in , 1 < σ < k/(k-1). The nonlinearity, containing derivatives of lower order, is assumed of class with respect to all variables.
Gevrey solvability for semilinear partial differential equations with multiple characteristics
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.
A class of pseudo differential operators with multiple non-involutive characteristics
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