54 research outputs found

    Structural resolvent estimates and derivative nonlinear Schrodinger equations

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    A refinement of uniform resolvent estimate is given and several smoothing estimates for Schrodinger equations in the critical case are induced from it. The relation between this resolvent estimate and radiation condition is discussed. As an application of critical smoothing estimates, we show a global existence results for derivative nonlinear Schrodinger equations.Comment: 21 page

    Heterostructures for High Performance Devices

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    Contains an introduction and reports on ten research projects.Charles S. Draper Laboratory, Contract DL-H-315251Joint Services Electronics Program, Contract DAAL03-89-C-0001National Science Foundation Grant, Grant EET 87-03404MIT FundsInternational Business Machines CorporationNational Science Foundation Grant ECS 84-1317

    On the estimates for Helmholz operator

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    Some examples of hypoelliptic operators of infinitely degenerate type

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