The Semiclassical Resolvent on Conic Manifolds and Application to Schrödinger Equations
نویسندگان
چکیده
In this article, we shall construct the resolvent of Laplacian at high energies near spectrum on non-product conic manifolds with a single cone tip. Microlocally, kernel is sum b-pseudodifferential operators, scattering pseudodifferential operators and intersecting Legendrian distributions. As an application, establish Strichartz estimates for Schrödinger equations non-compact multiple singularities.
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2022
ISSN: ['0010-3616', '1432-0916']
DOI: https://doi.org/10.1007/s00220-021-04308-3