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Showing 1 to 4 of 4 for “"Pseudodifferential operator"”.
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Global normal forms and global properties in function spaces for second order Shubin type operators
… of second order Shubin(or G) type differential operators P(x;D) in functional spaces on Rn. We describe the isomorphism properties of normal form transformations, introduced by L. Hormander for the study of affine symplectic transformations acting on pseudodifferential operators, in spaces like …
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The Calderón problem for connections
… that is proved in this work: $\Lambda_A$ is a pseudodifferential operator of order $1$ acting on sections of $E|_{\partial M}$, whose full symbol determines the full Taylor expansion of $A$ at the boundary.
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Leibniz-type rules associated to bilinear pseudodifferential operators
Leibniz-type rules associated to bilinear pseudodifferential operators have received considerable attention due to their applications in obtaining fractional Leibniz rules and the study of various partial differential equations. Generally speaking, fractional Leibniz rules provide a way of …
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On a pseudodifferential calculus with modest boundary decay condition
… to infinite logarithmic order is introduced. A pseudodifferential calculus, extending the <em> b</em>-calculus of Melrose, is proposed based on this modest decay condition. The mapping properties, composition rule, and normal operators are studied. Instead of functional analytic methods, a …